Interaction with jet and its medium response
in quark-gluon plasma
Yasuki Tachibana『熱場の量子論とその応用 (Thermal quantum field theory and its application)』
YITP, Kyoto University, September 4th, 2019

Introduction

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Introduction

Quark-gluon Plasma (QGP)
Hadron Phase

QGP Phase∼ 170 MeV

Temperature-

High-temperature phase of Quantum Chromodynamics (QCD)-

Deconfined state of partons (quarks and gluons)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20193

Introduction

Relativistic Heavy-ion Collisions
Relativistic Heavy Ion Collider (RHIC)@BNL

e.g. Au-Au@200GeV

Large Hadron Collider (LHC)@CERN

e.g. Pb-Pb@2.76GeV, 5.02TeV-

Collide relativistically accelerated nuclei-

Achieve extremely high temperature to create QGP

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20194

Introduction

QGP Fluid in Relativistic Heavy-ion Collisions

Time
QGP

Hadrons

MADAI Collaboration-“Local” thermalization (or hydrodynamization)-

Model (w/ hydro) to data comparison for hadron observables-

Extraction of QGP properties: viscosities,…
Talk by Steﬀen Bass (w/ Bayesian analysis)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20195

Introduction

QGP Fluid in Relativistic Heavy-ion Collisions

Time
QGP

Hadrons

MADAI Collaboration-“Local” thermalization (or hydrodynamization)-

Model (w/ hydro) to data comparison for hadron observables-

Extraction of QGP properties: viscosities,…
Talk by Steﬀen Bass (w/ Bayesian analysis)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20195

Introduction

QGP Fluid in Relativistic Heavy-ion Collisions

Time
QGP

Hadrons

MADAI Collaboration-“Local” thermalization (or hydrodynamization)-

Model (w/ hydro) to data comparison for hadron observables-

Extraction of QGP properties: viscosities,…
Talk by Steﬀen Bass (w/ Bayesian analysis)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20195

Introduction

QGP Fluid in Relativistic Heavy-ion Collisions
Numerical simulation based on relativistic hydrodynamics
Time
QGP

Hadrons

MADAI Collaboration-“Local” thermalization (or hydrodynamization)-

Model (w/ hydro) to data comparison for hadron observables-

Extraction of QGP properties: viscosities,…
Talk by Steﬀen Bass (w/ Bayesian analysis)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20195

Introduction

Jet in Relativistic Heavy-ion Collisions
Hadrons}
Jet

Jet in QCD-

Produced in initial
parton hard scattering-

Observed as collimatedhadron spray

QGP medium eﬀect

Hard
Scattering
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20196

Introduction

Jet in Relativistic Heavy-ion Collisions
Hadrons}
Jet

Jet in QCD-

Produced in initial
parton hard scattering-

Observed as collimatedhadron spray

QGP medium eﬀect

Hard
Scattering
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20196

Introduction

Jet in Relativistic Heavy-ion Collisions
Hadrons}
Jet

Jet in QCD-

Produced in initial
parton hard scattering-

Observed as collimatedhadron spray-

QGP medium eﬀect
Scatterings withmedium constituents

Hard
Scattering
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20196

Introduction

Jet in Relativistic Heavy-ion Collisions
Hadrons}
Jet

Jet in QCD-

Produced in initial
parton hard scattering-

Observed as collimatedhadron spray

QGP medium eﬀect-

Scatterings withmedium constituents-

Induced parton
radiation

Hard
Scattering
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20196

Introduction

Jet in Relativistic Heavy-ion Collisions
Hadrons

Hard
Scattering}Jet

Jet in QCD-

Produced in initial
parton hard scattering-

Observed as collimatedhadron spray

QGP medium eﬀect-

Scatterings withmedium constituents-

Induced parton
radiation

Jet structure modification

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20196

Introduction

Medium Response to Jet in QGP Fluid
H. Stöcker (’05), J. Casalderrey-Solana, E. Shuryak, D. Teaney (’05),…

}

Energy-momentum
deposition

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20197

Introduction

Medium Response to Jet in QGP Fluid
H. Stöcker (’05), J. Casalderrey-Solana, E. Shuryak, D. Teaney (’05),…

}

Energy-momentum
deposition

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20197

Introduction

Medium Response to Jet in QGP Fluid
H. Stöcker (’05), J. Casalderrey-Solana, E. Shuryak, D. Teaney (’05),…

}

Energy-momentum
deposition

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20197

Introduction

Medium Response to Jet in QGP Fluid
H. Stöcker (’05), J. Casalderrey-Solana, E. Shuryak, D. Teaney (’05),…

}-

Energy-momentum
deposition
Induced collective
motionYasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20197

Introduction

Medium Response to Jet in QGP Fluid
H. Stöcker (’05), J. Casalderrey-Solana, E. Shuryak, D. Teaney (’05),…

}-

Energy-momentum
deposition
Induced collective
motionJet-correlated particle
emission from the medium

Further modification of
measured jet structure
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20197

Introduction

Jet Modification in Relativistic Heavy-ion Collisions

Jet observation in relativistic heavy-ion collisions
Subtraction of background (non-jet-correlated components)- Set of clustered particles (via jet reconstruction algorithm)-

Jet modification with medium response
Energy-momentum transfer with medium via scatterings- Medium-induced radiation- Additional particles coming from medium response effect-Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20198

Introduction

Jet Modification in Relativistic Heavy-ion Collisions

Jet observation in relativistic heavy-ion collisions
Subtraction of background (non-jet-correlated components)- Set of clustered particles (via jet reconstruction algorithm)-

Jet modification with medium response
Energy-momentum transfer with medium via scatterings- Medium-induced radiation- Additional particles coming from medium response effect-Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20198

Introduction

Jet Modification in Relativistic Heavy-ion Collisions
R=(Δη)2 + (Δϕ)2R

Jet Axis

Jet observation in relativistic heavy-ion collisions
Subtraction of background (non-jet-correlated components)- Set of clustered particles (via jet reconstruction algorithm)-

Jet modification with medium response
Energy-momentum transfer with medium via scatterings- Medium-induced radiation- Additional particles coming from medium response effect-Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20198

Introduction

Measured Jets in Relativistic Heavy-ion Collisions
Adapted from CMS

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 20199

Introduction

Motivation of Medium Response Study
QGP properties for in-medium thermalization
R. B. Neufeld (’09), R. B. Neufeld, I. Vitev (’12), E. Iancu, B. Wu (’15), A. Majumder (’16),…

Partial thermalization of energy and momentum of jet- Hydrodynamic energy momentum transport with medium- Information of in-medium thermalization-

Fraction of thermalized part contribution
Thermalization time τth, typical momentum scale pth, etc.

⇠ pth<latexit sha1_base64="nem40WONLidUArIXhIGzb5mxXAw=">AAACDHicdVDLSsNAFJ3UV62v+Ni5GSyCq5AUQZcFXbisYB/QhDCZTtqhM5MwMxFqyC/4DW517U7c+g8u/RMnbQXr48Awh3Pu5d57opRRpV333aosLa+srlXXaxubW9s79u5eRyWZxKSNE5bIXoQUYVSQtqaakV4qCeIRI91ofFH63VsiFU3EjZ6kJOBoKGhMMdJGCu0DP+K5ryiHaZj7kkM9KorQrrtOwy0BfxPPmf5uHczRCu0Pf5DgjBOhMUNK9T031UGOpKaYkaLmZ4qkCI/RkPQNFYgTFeTT7Qt4bJQBjBNpntBwqn7vyBFXasIjU8mRHqmfXin+5fUzHZ8HORVpponAs0FxxqBOYBkFHFBJsGYTQxCW1OwK8QhJhLUJbGFKxMtMvg6H/5NOw/Fcx7s+rTcv5+lUwSE4AifAA2egCa5AC7QBBnfgATyCJ+veerZerNdZacWa9+yDBVhvn8uzm/c=</latexit>⌧th<latexit sha1_base64="awu3E48QwCMUtOu0RHcTkwabndA=">AAACCnicdVDLSsNAFJ3UV62vWJduBovgKiRF0GVBFy4r2Ac0IUymk3boTBJmbsQS8gd+g1tduxO3/oRL/8SkrWB9HBjmcM693HtPkAiuwbbfjcrK6tr6RnWztrW9s7tn7te7Ok4VZR0ai1j1A6KZ4BHrAAfB+oliRAaC9YLJRen3bpnSPI5uYJowT5JRxENOCRSSb9bdQGYukNTPXCUxjPPcNxu21bRL4N/EsWa/3UALtH3zwx3GNJUsAiqI1gPHTsDLiAJOBctrbqpZQuiEjNigoBGRTHvZbPccHxfKEIexKl4EeKZ+78iI1Hoqg6JSEhjrn14p/uUNUgjPvYxHSQosovNBYSowxLgMAg+5YhTEtCCEKl7siumYKEKhiGtpSiDLTL4Ox/+TbtNybMu5Pm20LhfpVNEhOkInyEFnqIWuUBt1EEV36AE9oifj3ng2XozXeWnFWPQcoCUYb5+Ty5tU</latexit>

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201910

Introduction

Motivation of Medium Response Study
Jet-induced flow (shockwave)
H. Stöcker (’05), J. Casalderrey-Solana, E. V. Shuryak, D. Teaney (’05), J. Ruppert, B. Muller (’05), L. M. Satarov, H. Stoecker, I. N. Mishustin (’05)-

Structure characterized by fluid properties (shear viscosity,
B. Neufeld (’09), R. B. Neufeld, I. Vitev (’12), Alejandro Ayala et al. (’16),
sound velocity, etc.) R.L. Yan,
S. Jeon, C. Gale (’17)
R. B. Neufeld, PRC79, 054909 (2009)
0

-4

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-6
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Transportation of thermalized part by jet-induced flow
Angular distribution of thermalized part contribution
Fluid property (Shear viscosity, sound velocity, etc.)

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201911

Introduction

Motivation of Medium Response Study
Full picture of jet quenching
Redistribution of the jet energy and momentum
CMS (2011)>8 GeV
4-8 GeV
1-4 GeV

Adapted from C. Roland

Leading jet<latexit sha1_base64="N0wpLEurhu0FrRsKaA/a03yBf0w=">AAACEXicdVDLSsNAFJ3UV62vqCtxM1gEVyVpi3VZdOOyQl/QxjCZTtuhM0mYmQglBD/Cb3Cra3fi1i9w6Z84SSNY0QPDHM65l3vv8UJGpbKsD6Owsrq2vlHcLG1t7+zumfsHXRlEApMODlgg+h6ShFGfdBRVjPRDQRD3GOl5s6vU790RIWngt9U8JA5HE5+OKUZKS655NPR4HLrxUHDYTm6znxE0ShLXLFuV83q1atvQqlgZNLEbdatWg3aulEGOlmt+DkcBjjjxFWZIyoFthcqJkVAUM5KUhpEkIcIzNCEDTX3EiXTi7IQEnmplBMeB0M9XMFN/dsSISznnnq7kSE3lby8V//IGkRpfODH1w0gRHy8GjSMGVQDTPOCICoIVm2uCsKB6V4inSCCsdGpLUzyeZvJ9OPyfdKsVWwd1Uy83L/N0iuAYnIAzYIMGaIJr0AIdgME9eARP4Nl4MF6MV+NtUVow8p5DsATj/Qv4S549</latexit>

lead
pT

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

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lead
pT (< pT )12

Introduction

Motivation of Medium Response Study
Full picture of jet quenching
Redistribution of the jet energy and momentum

BalanceCMS (2011)
Adapted from C. Roland

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X

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4-8 GeV
1-4 GeV

p
~i

lead
pT

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Subleading jet<latexit sha1_base64="rYl6femv2MlRfSV7KDQRq7yOqgk=">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</latexit>

sub
lead
pT (< pT )12

Introduction

Motivation of Medium Response Study
Full picture of jet quenching
Redistribution of the jet energy and momentum

BalanceCMS (2011)
Adapted from C. Roland

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X

i2HsubHsub<latexit sha1_base64="31Hh/peRhxFUbUjAcRTfSf+WjMw=">AAACCHicdVDLSsNAFJ3UV62vqEs3g0VwVZLa2nRXdNNlBfuAJoTJdNoOnUnCzKRQQn7Ab3Cra3fi1r9w6Z84fQhW9MCFwzn3cu89QcyoVJb1YeQ2Nre2d/K7hb39g8Mj8/ikI6NEYNLGEYtEL0CSMBqStqKKkV4sCOIBI91gcjv3u1MiJI3CezWLicfRKKRDipHSkm+absDTpp+6gkOZBFnmm0WrZJcdq1aGmtSvraqjyVW1XnEq0C5ZCxTBCi3f/HQHEU44CRVmSMq+bcXKS5FQFDOSFdxEkhjhCRqRvqYh4kR66eLyDF5oZQCHkdAVKrhQf06kiEs544Hu5EiN5W9vLv7l9RM1dLyUhnGiSIiXi4YJgyqC8xjggAqCFZtpgrCg+laIx0ggrHRYa1sCPs/k+3H4P+mUS7ZO7K5SbNys0smDM3AOLoENaqABmqAF2gCDKXgET+DZeDBejFfjbdmaM1Yzp2ANxvsXMbaamg==</latexit>

Leading jet<latexit sha1_base64="N0wpLEurhu0FrRsKaA/a03yBf0w=">AAACEXicdVDLSsNAFJ3UV62vqCtxM1gEVyVpi3VZdOOyQl/QxjCZTtuhM0mYmQglBD/Cb3Cra3fi1i9w6Z84SSNY0QPDHM65l3vv8UJGpbKsD6Owsrq2vlHcLG1t7+zumfsHXRlEApMODlgg+h6ShFGfdBRVjPRDQRD3GOl5s6vU790RIWngt9U8JA5HE5+OKUZKS655NPR4HLrxUHDYTm6znxE0ShLXLFuV83q1atvQqlgZNLEbdatWg3aulEGOlmt+DkcBjjjxFWZIyoFthcqJkVAUM5KUhpEkIcIzNCEDTX3EiXTi7IQEnmplBMeB0M9XMFN/dsSISznnnq7kSE3lby8V//IGkRpfODH1w0gRHy8GjSMGVQDTPOCICoIVm2uCsKB6V4inSCCsdGpLUzyeZvJ9OPyfdKsVWwd1Uy83L/N0iuAYnIAzYIMGaIJr0AIdgME9eARP4Nl4MF6MV+NtUVow8p5DsATj/Qv4S549</latexit>>8 GeV
4-8 GeV
1-4 GeV

p
~i

lead
pT

Subleading jet<latexit sha1_base64="rYl6femv2MlRfSV7KDQRq7yOqgk=">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</latexit>

sub
lead
pT (< pT )Soft Particles
Result from entire processes in jet quenching
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201912

Models for medium response

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Models for medium response

Weakly-coupled Description: Recoils
Partons scattered oﬀ from the QGP medium
Sampling of partons from thermalized medium for collisions- Add the recoiled partons to the jet-

Partons in Jet

Parton in Jet

JEWEL

K. C. Zapp, R. Kunnawalkam Elayavalli, J. G. Milhano, U. A. Wiedemann,…

Linearized Boltzmann Transport (LBT) Model
T. Luo, S. Cao, Y. He, X.-N. Wang, S.-L. Zhang, G.-Y. Qin, Y. Zhu,…

MARTINI

C. Park, S. Jeon, C. Gale, B. Schenke,…

MATTER

A. Majumder, S. Cao,…

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201914

Models for medium response

Weakly-coupled Description: Recoils
Partons scattered oﬀ from the QGP medium
Sampling of partons from thermalized medium for collisions- Add the recoiled partons to the jet-

Partons in Jet

Parton in Jet

JEWEL

K. C. Zapp, R. Kunnawalkam Elayavalli, J. G. Milhano, U. A. Wiedemann,…

Linearized Boltzmann Transport (LBT) Model
T. Luo, S. Cao, Y. He, X.-N. Wang, S.-L. Zhang, G.-Y. Qin, Y. Zhu,…

MARTINI

C. Park, S. Jeon, C. Gale, B. Schenke,…

MATTER

A. Majumder, S. Cao,…

Publicly available in JETSCAPE code package
at GitHub: github.com/JETSCAPE

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201914

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
A. K. Chaudhuri, U. Heinz (’06), A. K. Chaudhuri (’06, ’07), B. Betz, J. Noronha, G. Torrieri, M. Gyulassy, I. Mishustin, D. H. Rischke (’09),
YT, T. Hirano (’14, ’16), R. P. G. Andrade, J. Noronha, G. S. Denicol (’14), M. Schulc, B. Tomášik (’14)

Medium response to thermalized energy and momentum of jet- Description by hydrodynamics together with bulk medium-

Hydrodynamic equation with source termμνν∂μTfluid(x) = Jjet(x)Energy-momentum tensor
of the QGP fluid

Energy and momentum
deposited from the jetνSourceterm!
J
jet constructed from jet evolution calculation-

Use Cooper-Frye for particles from medium response

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201915

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

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yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)
-

Jet

Jet

Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)-Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Strongly-coupled Description: Hydro Response
Jet evolution + full hydro model with source term
Coupled Jet-Fluid Model
YT, N.-B. Chang, G.-Y. Qin,…

-

Ideal hydroSudden in-medium thermalization

Fluid energy density
PbPb, 2.76 TeV, Dĳet⌘s<latexit sha1_base64="/FexMDGaRmdMMB3xa5z40ZG6Wzw=">AAACCXicdVDLSsNAFJ3UV62vVJduBovgKiRFsMuCG5cV7AOaECbTSTt0ZhJmJkoJ+QK/wa2u3Ylbv8Klf+KkrWB9HBjmcM693HtPlDKqtOu+W5W19Y3Nrep2bWd3b//Arh/2VJJJTLo4YYkcREgRRgXpaqoZGaSSIB4x0o+ml6XfvyVS0UTc6FlKAo7GgsYUI22k0K77Ec99olGY+5JDVRSh3XCdplsC/iaeM//dBliiE9of/ijBGSdCY4aUGnpuqoMcSU0xI0XNzxRJEZ6iMRkaKhAnKsjnqxfw1CgjGCfSPKHhXP3ekSOu1IxHppIjPVE/vVL8yxtmOm4FORVpponAi0FxxqBOYJkDHFFJsGYzQxCW1OwK8QRJhLVJa2VKxMtMvg6H/5Ne0/Fcx7s+b7Rby3Sq4BicgDPggQvQBlegA7oAgzvwAB7Bk3VvPVsv1uuitGIte47ACqy3T6URmsU=</latexit>

Coupled LBT Hydro Model
W. Chen, T. Luo, S. Cao, L. Pang, X.-N, Wang,…

<latexit sha1_base64="rm20ZIYAhAGu0Cxvv8nad3fA4Do=">AAAB/HicdVDLSgMxFL3js9ZX1aWbYBFcDTNFsMuCG5cV7APaoWTSTBubZIYkIwxD/Qa3unYnbv0Xl/6JmbaC9XEg5HDOvdx7T5hwpo3nvTsrq2vrG5ulrfL2zu7efuXgsK3jVBHaIjGPVTfEmnImacsww2k3URSLkNNOOLks/M4dVZrF8sZkCQ0EHkkWMYKNldr9UOTZdFCpem7NK4B+E9+d/V4VFmgOKh/9YUxSQaUhHGvd873EBDlWhhFOp+V+qmmCyQSPaM9SiQXVQT7bdopOrTJEUazskwbN1O8dORZaZyK0lQKbsf7pFeJfXi81UT3ImUxSQyWZD4pSjkyMitPRkClKDM8swUQxuysiY6wwMTagpSmhKDL5Ohz9T9o11/dc//q82qgv0inBMZzAGfhwAQ24gia0gMAtPMAjPDn3zrPz4rzOS1ecRc8RLMF5+wSvJJXk</latexit>

yx<latexit sha1_base64="wFMugZqUWMZFtRU5ugq9AHBJ7EQ=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpgl0W3LisYB/QDiWTZtrYJDMkGbEM9Rvc6tqduPVfXPonZtoK1seBkMM593LvPWHCmTae9+4UVlbX1jeKm6Wt7Z3dvfL+QUvHqSK0SWIeq06INeVM0qZhhtNOoigWIaftcHyR++1bqjSL5bWZJDQQeChZxAg2Vmr1QpHdTfvliudWvRzoN/Hd2e9VYIFGv/zRG8QkFVQawrHWXd9LTJBhZRjhdFrqpZommIzxkHYtlVhQHWSzbafoxCoDFMXKPmnQTP3ekWGh9USEtlJgM9I/vVz8y+umJqoFGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU91786q9Rri3SKcATHcAo+nEMdLqEBTSBwAw/wCE/OvfPsvDiv89KCs+g5hCU4b5+tkJXj</latexit><latexit

Ideal hydroViscous hydro- Recoil eﬀects included
Recoil with p! LRF > pcut
kept in jet (remnant recoil)
-

Jet

Jet

Particle in jet with !pLRF < pcut
absorbed in fluid via source term
! LRF: momentum at local rest frame of the fluidp
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201916

Models for medium response

Other Models
Simplified estimation for medium response eﬀect
Deposited energy as a perturbation (no propagation)- Based on strongly-coupled description
Hybrid Strong/Weak Coupling Model-

D. Pablos, Z. Hulcher, J. Casalderrey-Solana, K. Rajagopal, J. G. Milhano D. C. Gulhan

Boltzmann equation based approach
Particle picture description both for medium and jet- Based on weakly-coupled description
AMPT-

G.-L. Ma, X.-N. Wang, Z. Gao, A. Luo, H.-Z. Zhang, G.-Y. Qin,…

BAMPSI. Bouras, Z. Xu, C. Greiner, B. Betz,…

Linearized viscous hydrodynamics with source term
G.-Y. Qin, A. Majumder, H. Song, U. Heinz (’09), R. B. Neufeld, B. Muller (’10), R. B. Neufeld, T. Renk (’10), R. B. Neufeld, I. Vitev(’12), A. Ayala, I. Dominguez, J. Jalilian-Marian, M. E. Tejeda-Yeomans (’09), L. Yan, S. Jeon, C. Gale (’17),…

-

Good approach to study jet-induced flow with fluid properties

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201917

Models for medium response

Models: Brief Summary
JEWEL, LBT,MARTINI,MATTER, …

RecoilWeakly-coupled

Coupled LBT
Hydro

CoupledJet-Fluid

Hydro Response

Strongly-coupled

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201918

Results from phenomenological studies

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Results from phenomenological studies

Structures of medium response
Mach cone as hydro response����� Coupled Jet-Fluid�����Model

Mach cone-like structure

Hydro

Recoil3�
3� LBT Modelτ �YT,
12N.-B.
fm/cChang, G.-Y.τQin,
�e 12
fm/c
�GeV/fm
Δe�GeV/fm
PRC 95, 044909 (2017)
T. Luo, et al., PRC 91, 054908 (2015)������� e �GeV/fm
3� fm/cτ � 12��

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4x �fm�

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Jet

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Coupled LBT Hydro Model Recoil+Hydro
W. Chen, et al., PLB 777, 86 (2018)

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0.4

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Results from phenomenological studies

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Results from phenomenological studies

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T
jet
<latexit sha1_base64="LktEpTK8BzX2mylOB22u8/++rPE=">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</latexit>

assoc
trk2(rq( r = (⌘p

assoc
trk
p
r/2,r+ r/2) Tr⌘jet )2 + ( p

jet )

2

#

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MARTINI

JEWEL

Recoil√RecoilJEWEL+PYTHIA
(0
−
10%),
Pb+Pb
s =(2017)
2.76 TeR. Kunnawalkam Elayavalli, K. C. Zapp, √JHEP 1707, 141
1.6 JEWEL+PYTHIA (0 − 10%), Pb+Pb s = 2.76 TeV

C. Park, S. Jeon, C. Gale (’18)

1.4

without Recoils
Exp. (CMS)

1.2

1.4

1.2
1.2

ρ(r)PbPb /ρ(r)pp

1
0.8
0.6
Recoil cut: pcut = 4T
PbPb, 2.76 TeV, Inclusive Jet
pjet
T > 100 GeV, R = 0.3<latexit sha1_base64="l1jkBsZS/cIMTL0dCcrfc5gPRZQ=">AAACC3icdVDLSsNAFJ3UV62vaJduBovgKiRS0I1QcOOyQl/QlDCZTtqhM5MwMxFCyCf4DW517U7c+hEu/RMnbQXr48Awh3Pu5d57woRRpV333aqsrW9sblW3azu7e/sH9uFRT8WpxKSLYxbLQYgUYVSQrqaakUEiCeIhI/1wdl36/TsiFY1FR2cJGXE0ETSiGGkjBXbdD3meBLkvOcSpLq6anSKwG67TdEvA38Rz5r/bAEu0A/vDH8c45URozJBSQ89N9ChHUlPMSFHzU0UShGdoQoaGCsSJGuXz5Qt4apQxjGJpntBwrn7vyBFXKuOhqeRIT9VPrxT/8oapji5HORVJqonAi0FRyqCOYZkEHFNJsGaZIQhLanaFeIokwtrktTIl5GUmX4fD/0nv3PFcx7ttNlrOMp0qOAYn4Ax44AK0wA1ogy7AIAMP4BE8WffWs/VivS5KK9aypw5WYL19AsAcm00=</latexit><latexit sha1_base64="W0pT9mpKv7XcCttBh/PIi7v44X0=">AAACIXicdVDLSgMxFM34rO+qSzfBIijIkNGCbpSCC11WaavQ1pJJb9vYZGZIMkIZ5hv8CL/Bra7diTtx5Z+YjhV8Hgg5Oedebu7xI8G1IeTFGRufmJyazs3Mzs0vLC7ll1dqOowVgyoLRagufKpB8ACqhhsBF5ECKn0B537/aOifX4PSPAwqZhBBU9JuwDucUWOlVn4rukwaSuIrMGkrY5X00COksZ09jqGWbuOzA+LutvIF4hbJEPg38dzsJgU0QrmVf2u0QxZLCAwTVOu6RyLTTKgynAlIZxuxhoiyPu1C3dKAStDNJFspxRtWaeNOqOwJDM7Urx0JlVoPpG8rJTU9/dMbin959dh09psJD6LYQMA+BnVigU2Ih/ngNlfAjBhYQpni9q+Y9aiizNgUv03xZWoz+Vwc/09qO65HXO+0WCi5o3RyaA2to03koT1UQieojKqIoRt0h+7Rg3PrPDpPzvNH6Zgz6llF3+C8vgORaKJV</latexit>

0

0.1

r

<latexit sha1_base64="HZTl49MivwPRaCVXQjszWm6/NnI=">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</latexit>

1.2

0.4

w/ow
Recoils
ith Recoils
w/oRecoils
w/ Recoils 4MomSub
without Recoils
CMSw/ Recoils 4MomSub
anti-k|η jet | < 2
Exp.
(CMS)
CMS
⊥ R=0.3,
pjet⊥ > 100 GeV
anti-k⊥ R=0.3, |η jet | < 2
pjet⊥ > 100 GeV

1.4
1.4
ρ(r)PbPb /ρ(r)pp

with Recoils⇢AA (r)/⇢pp (r)1.6<latexit sha1_base64="HZTl49MivwPRaCVXQjszWm6/NnI=">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</latexit>⇢AA (r)/⇢pp (r)

1.6

11

0.8
0.8
1
0.6
0.6

0.8

0.2

<latexit sha1_base64="W0pT9mpKv7XcCttBh/PIi7v44X0=">AAACIXicdVDLSgMxFM34rO+qSzfBIijIkNGCbpSCC11WaavQ1pJJb9vYZGZIMkIZ5hv8CL/Bra7diTtx5Z+YjhV8Hgg5Oedebu7xI8G1IeTFGRufmJyazs3Mzs0vLC7ll1dqOowVgyoLRagufKpB8ACqhhsBF5ECKn0B537/aOifX4PSPAwqZhBBU9JuwDucUWOlVn4rukwaSuIrMGkrY5X00COksZ09jqGWbuOzA+LutvIF4hbJEPg38dzsJgU0QrmVf2u0QxZLCAwTVOu6RyLTTKgynAlIZxuxhoiyPu1C3dKAStDNJFspxRtWaeNOqOwJDM7Urx0JlVoPpG8rJTU9/dMbin959dh09psJD6LYQMA+BnVigU2Ih/ngNlfAjBhYQpni9q+Y9aiizNgUv03xZWoz+Vwc/09qO65HXO+0WCi5o3RyaA2to03koT1UQieojKqIoRt0h+7Rg3PrPDpPzvNH6Zgz6llF3+C8vgORaKJV</latexit>

0.4

0.3

0

0

PbPb, 2.76 TeV, Inclusive Jet
pjet
T > 100 GeV, R = 0.3
0.05<latexit sha1_base64="QRicxydacb3GIm3jhph3aIjr/cc=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpQl0W3Oiugn1AO5RMmmljk8yQZIQy1G9wq2t34tZ/cemfmGkrWB8HQg7n3Mu994QJZ9p43rtTWFldW98obpa2tnd298r7By0dp4rQJol5rDoh1pQzSZuGGU47iaJYhJy2w/FF7rfvqNIsljdmktBA4KFkESPYWKnVC0Wmpv1yxXOrXg70m/ju7PcqsECjX/7oDWKSCioN4Vjrru8lJsiwMoxwOi31Uk0TTMZ4SLuWSiyoDrLZtlN0YpUBimJlnzRopn7vyLDQeiJCWymwGemfXi7+5XVTE50HGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU9178+q9SvFukU4QiO4RR8qEEdLqEBTSBwCw/wCE/OvfPsvDiv89KCs+g5hCU4b5+pNZXu</latexit><latexit

0.1
0.1

0.15

r

0.2
0.2

0.3

0.25
0.3
r from jet axis

<latexit sha1_base64="QRicxydacb3GIm3jhph3aIjr/cc=">AAAB/HicdVDLSgMxFL1TX7W+qi7dBIvgapgpQl0W3Oiugn1AO5RMmmljk8yQZIQy1G9wq2t34tZ/cemfmGkrWB8HQg7n3Mu994QJZ9p43rtTWFldW98obpa2tnd298r7By0dp4rQJol5rDoh1pQzSZuGGU47iaJYhJy2w/FF7rfvqNIsljdmktBA4KFkESPYWKnVC0Wmpv1yxXOrXg70m/ju7PcqsECjX/7oDWKSCioN4Vjrru8lJsiwMoxwOi31Uk0TTMZ4SLuWSiyoDrLZtlN0YpUBimJlnzRopn7vyLDQeiJCWymwGemfXi7+5XVTE50HGZNJaqgk80FRypGJUX46GjBFieETSzBRzO6KyAgrTIwNaGlKKPJMvg5H/5NW1fU9178+q9SvFukU4QiO4RR8qEEdLqEBTSBwCw/wCE/OvfPsvDiv89KCs+g5hCU4b5+pNZXu</latexit><latexit

0.6

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201921

Results from phenomenological studies

Angular structures of jets
Jet Shape" FunctionP

1 X 1⇢(r) =
jet
Njet
p
T
jet
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assoc
trk2(rq( r = (⌘p

assoc
trk
p
r/2,r+ r/2) Tr⌘jet )2 + ( p

jet )

2

#

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MARTINI

JEWEL

Recoil√RecoilJEWEL+PYTHIA
(0
−
10%),
Pb+Pb
s =(2017)
2.76 TeR. Kunnawalkam Elayavalli, K. C. Zapp, √JHEP 1707, 141
1.6 JEWEL+PYTHIA (0 − 10%), Pb+Pb s = 2.76 TeV

C. Park, S. Jeon, C. Gale (’18)

1.4

without Recoils
Exp. (CMS)

1.2

1.4

1.2
1.2

ρ(r)PbPb /ρ(r)pp

1
0.8
0.6
Recoil cut: pcut = 4T
PbPb, 2.76 TeV, Inclusive Jet
pjet
T > 100 GeV, R = 0.3<latexit sha1_base64="l1jkBsZS/cIMTL0dCcrfc5gPRZQ=">AAACC3icdVDLSsNAFJ3UV62vaJduBovgKiRS0I1QcOOyQl/QlDCZTtqhM5MwMxFCyCf4DW517U7c+hEu/RMnbQXr48Awh3Pu5d57woRRpV333aqsrW9sblW3azu7e/sH9uFRT8WpxKSLYxbLQYgUYVSQrqaakUEiCeIhI/1wdl36/TsiFY1FR2cJGXE0ETSiGGkjBXbdD3meBLkvOcSpLq6anSKwG67TdEvA38Rz5r/bAEu0A/vDH8c45URozJBSQ89N9ChHUlPMSFHzU0UShGdoQoaGCsSJGuXz5Qt4apQxjGJpntBwrn7vyBFXKuOhqeRIT9VPrxT/8oapji5HORVJqonAi0FRyqCOYZkEHFNJsGaZIQhLanaFeIokwtrktTIl5GUmX4fD/0nv3PFcx7ttNlrOMp0qOAYn4Ax44AK0wA1ogy7AIAMP4BE8WffWs/VivS5KK9aypw5WYL19AsAcm00=</latexit><latexit sha1_base64="W0pT9mpKv7XcCttBh/PIi7v44X0=">AAACIXicdVDLSgMxFM34rO+qSzfBIijIkNGCbpSCC11WaavQ1pJJb9vYZGZIMkIZ5hv8CL/Bra7diTtx5Z+YjhV8Hgg5Oedebu7xI8G1IeTFGRufmJyazs3Mzs0vLC7ll1dqOowVgyoLRagufKpB8ACqhhsBF5ECKn0B537/aOifX4PSPAwqZhBBU9JuwDucUWOlVn4rukwaSuIrMGkrY5X00COksZ09jqGWbuOzA+LutvIF4hbJEPg38dzsJgU0QrmVf2u0QxZLCAwTVOu6RyLTTKgynAlIZxuxhoiyPu1C3dKAStDNJFspxRtWaeNOqOwJDM7Urx0JlVoPpG8rJTU9/dMbin959dh09psJD6LYQMA+BnVigU2Ih/ngNlfAjBhYQpni9q+Y9aiizNgUv03xZWoz+Vwc/09qO65HXO+0WCi5o3RyaA2to03koT1UQieojKqIoRt0h+7Rg3PrPDpPzvNH6Zgz6llF3+C8vgORaKJV</latexit>

0

0.1

r

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1.2

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1.4
R = 0.6
RecoilJEWEL
R. Kunnawalkam Elayavalli, K. RC.= 0.Zapp,JHEP 1707, 141 (2017)8
1.2
with Recoils R = 1.0 PbPb, 2.76 TeV
0-5%, jeInclusivejett11
anti-k⊥ jets, |η | < 2.0; 4MomSub

1.8

R=<latexit sha1_base64="UMyKGNimHKesVj4fIH9P8VQCS1g=">AAAB+HicdVDLSgMxFL1TX7W+qi7dBIvgasgUQTdCwY3LWuwD2qFk0kwbmswMSUaoQ//Ara7diVv/xqV/YqatYH0cCDmccy/33hMkgmuD8btTWFldW98obpa2tnd298r7By0dp4qyJo1FrDoB0UzwiDUNN4J1EsWIDARrB+Or3G/fMaV5HN2aScJ8SYYRDzklxkqNxmW/XMFuFedAv4nnzn5cgQXq/fJHbxDTVLLIUEG07no4MX5GlOFUsGmpl2qWEDomQ9a1NCKSaT+bbTpFJ1YZoDBW9kUGzdTvHRmRWk9kYCslMSP908vFv7xuasILP+NRkhoW0fmgMBXIxCg/Gw24YtSIiSWEKm53RXREFKHGhrM0JZBTm8nX4eh/0qq6Hna9m7NKDS/SKcIRHMMpeHAONbiGOjSBQggP8AhPzr3z7Lw4r/PSgrPoOYQlOG+f2HGTpw==</latexit>

1.6

R = 0.2
0.2
R = 0.4
0.4
R = 0.6
0.6
R = 0.8
0.8
R = 1.0
1.0

Jet<latexit sha1_base64="fO0jemD+mrA5UfQ8oJ7LyZfzpVM=">AAAB+3icdVDLSgMxFL3js9ZX1aWbYBFcDRkt6EYouHFZxWkL7VAyaaYNzWSGJCOUMt/gVtfuxK0f49I/MdNWsD4OhBzOuZd77wlTwbXB+N1ZWl5ZXVsvbZQ3t7Z3dit7+02dZIoynyYiUe2QaCa4ZL7hRrB2qhiJQ8Fa4eiq8Fv3TGmeyDszTlkQk4HkEafEWMm/vcTuWa9SxW4NF0C/iedOf1yFORq9yke3n9AsZtJQQbTueDg1wYQow6lgebmbaZYSOiID1rFUkpjpYDJdNkfHVumjKFH2SYOm6veOCYm1HsehrYyJGeqfXiH+5XUyE10EEy7TzDBJZ4OiTCCToOJy1OeKUSPGlhCquN0V0SFRhBqbz8KUMM5tJl+Ho/9J89T1sOvd1Kp1d55OCQ7hCE7Ag3OowzU0wAcKHB7gEZ6c3Hl2XpzXWemSM+85gAU4b582cJRa</latexit><latexit sha1_base64="y8MWetxFTd1YHGlyEjj+L1IiUMc=">AAACGHicdVDLSsNAFJ3UV62vqEs3g0VwIWEiBbuSggtdVugLmhom00k7dCYJMxOhhGz9CL/Bra7diVt3Lv0Tk7SC9XFgmMM593LvPV7EmdIIvRulpeWV1bXyemVjc2t7x9zd66gwloS2SchD2fOwopwFtK2Z5rQXSYqFx2nXm1zkfveWSsXCoKWnER0IPAqYzwjWmeSaMLpJnBEWAqdu4kgBW+l5HTknBb+kndQ1q8iqoRzwN7Gt4kdVMEfTNT+cYUhiQQNNOFaqb6NIDxIsNSOcphUnVjTCZIJHtJ/RAAuqBklxSQqPMmUI/VBmL9CwUL93JFgoNRVeVimwHqufXi7+5fVj7dcHCQuiWNOAzAb5MYc6hHkscMgkJZpPM4KJZNmukIyxxERn4S1M8USeydfh8H/SObVsZNnXtWrDmqdTBgfgEBwDG5yBBrgCTdAGBNyBB/AInox749l4MV5npSVj3rMPFmC8fQL05qAn</latexit>

T⊥

JetJet<latexit sha1_base64="b/8mdCd2hrDd3G54n35EmV3oVEo=">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</latexit>p > 80 GeV
1.4
0.2
0.2
1.2
sγ-jet= 2.76event,
TeV p > 80 GeV
10pTγ > 80 GeV
1anti-k jets, |η | < 2.0
0
0
30
10
00
pRT=>0.3
80 GeV
200 0.8 300
400
500
3080s = 100
2.76
TeV
40
60
120
140
150
200
250
300
350
400
450
500
20
40 60 80jet
100 TeV120 140 160jet
sJet= 2.76
0.6 p(GeV) jet p [GeV]
R
=
0.3
p
(GeV)
T
p
(GeV)
0
20 T
⊥
0.4
RT = 0.3
20
Yasuki Tachibana,『熱場の量子論とその応用』,
YITP,
September
4th,
2019
22
0 40
60 80 100 120 140 160
40
30
40

<latexit sha1_base64="0ZqPM/YSjACRwYXae2ULbeP4WCo=">AAACHXicdVDLSgMxFM3UV31XXboJlkIFKTNFUFwVXOiyQl/QqSWT3raxycyQZIQyzBf4EX6DW127E7fi0j8xnVawPg6Ee3Luvdx7jxdyprRtv1uZhcWl5ZXs6tr6xubWdm5nt6GCSFKo04AHsuURBZz5UNdMc2iFEojwODS90fkk37wFqVjg1/Q4hI4gA5/1GSXaSN1cwfVEHHZjVwpcS67TeAM6SdyjYvq5gEZy2M3l7VLZngD/Jk4pjXYezVDt5j7cXkAjAb6mnCjVduxQd2IiNaMckjU3UhASOiIDaBvqEwGqE6fnJLhglB7uB9I8X+NU/d4RE6HUWHimUhA9VD9zE/GvXDvS/dNOzPww0uDT6aB+xLEO8MQb3GMSqOZjQwiVzOyK6ZBIQrVxcG6KJxLjydfh+H/SKJccu+RcHecrZzN3smgfHaAictAJqqBLVEV1RNEdekCP6Mm6t56tF+t1WpqxZj17aA7W2ycpXqJs</latexit><latexit sha1_base64="0ZqPM/YSjACRwYXae2ULbeP4WCo=">AAACHXicdVDLSgMxFM3UV31XXboJlkIFKTNFUFwVXOiyQl/QqSWT3raxycyQZIQyzBf4EX6DW127E7fi0j8xnVawPg6Ee3Luvdx7jxdyprRtv1uZhcWl5ZXs6tr6xubWdm5nt6GCSFKo04AHsuURBZz5UNdMc2iFEojwODS90fkk37wFqVjg1/Q4hI4gA5/1GSXaSN1cwfVEHHZjVwpcS67TeAM6SdyjYvq5gEZy2M3l7VLZngD/Jk4pjXYezVDt5j7cXkAjAb6mnCjVduxQd2IiNaMckjU3UhASOiIDaBvqEwGqE6fnJLhglB7uB9I8X+NU/d4RE6HUWHimUhA9VD9zE/GvXDvS/dNOzPww0uDT6aB+xLEO8MQb3GMSqOZjQwiVzOyK6ZBIQrVxcG6KJxLjydfh+H/SKJccu+RcHecrZzN3smgfHaAictAJqqBLVEV1RNEdekCP6Mm6t56tF+t1WpqxZj17aA7W2ycpXqJs</latexit>jetResults from phenomenological studies

Soft particle enhancementwith Hydro Res.

2
1

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="U0LSYrJK1GVuFgtRakENcfLCVZo=">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</latexit>

pT : 5-7 GeV
AuAu, 200 GeV

Coupled LBT Hydro Model Recoil+Hydro
W. Chen, et al., PLB 777, 86 (2018)

PHENIX

1 dN assoc
D (⇠) =
Nd⇠<latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp

Fragmentation function (γ-triggered)2with Hydro Res.

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="c2lMEaN0w8PGcTyk1I6yt+KFcI8=">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</latexit>

pT : 7-9 GeV
AuAu, 200 GeV<latexit sha1_base64="oUoWUmFVIdvwxhibFlchl7YfL1o=">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</latexit>

PHENIX1⇠=<latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp02<latexit sha1_base64="pA1zVuMYbABmvVPEjDkbTUi9f4c=">AAACMnicdVDLSgMxFM34rPVVdekmWAQ3lpkiKIJQdOOyQl/QGYdMmmlDk8yQZMQyzL/4EX6DW93qrrj1I8y0FayPA+Eezn3lniBmVGnbfrUWFpeWV1YLa8X1jc2t7dLObktFicSkiSMWyU6AFGFUkKammpFOLAniASPtYHiV59t3RCoaiYYexcTjqC9oSDHSRvJL5+49hRfw2GXCDSXCaeynruSwkd1OIlIqwlk2J/cR5yjL/FLZrlTtHPA3cSqTaJfBDHW/NHZ7EU44ERozM7jr2LH2UiQ1xYxkRTdRJEZ4iPqka6hAnCgvndyYwUOj9GAYSfOEhhP1e0eKuFIjHphKjvRA/czl4l+5bqLDMy+lIk40EXi6KEwY1BHMDYM9KgnWbGQIwpKav0I8QMYqbWyd2xLw3JOvw+H/pFWtOHbFuTkp1y5n7hTAPjgAR8ABp6AGrkEdNAEGD+AJPIMX69F6s8bW+7R0wZr17IE5WB+fVuer+w==</latexit>

with Hydro Res.

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="nw9KKoBB9P73Ak1SxuW8GTCS3O4=">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</latexit>

pT : 12-20 GeV
AuAu, 200 GeV

γ-triggered eventSTAR<latexit sha1_base64="zv3ItRGyX6ilWm827Rxz8DE5Iu8=">AAACEnicdVDLSgMxFM3UV62vqjvdBIvgasgMYu2u4MZlhb6gHYdMmrahycyQZIQyDPgRfoNbXbsTt/6AS//ETFvBih4IOZxzb27uCWLOlEbowyqsrK6tbxQ3S1vbO7t75f2DtooSSWiLRDyS3QAryllIW5ppTruxpFgEnHaCyVXud+6oVCwKm3oaU0/gUciGjGBtJL981A9EGvtpXwrYzG5nN1YqIlnmlyvIRu5FrVqFyHbdGnJQTmqu6zrQsdEMFbBAwy9/9gcRSQQNNeHmkZ6DYu2lWGpGOM1K/UTRGJMJHtGeoSEWVHnpbIcMnhplAIeRNCfUcKb+7EixUGoqAlMpsB6r314u/uX1Ej289FIWxommIZkPGiYc6gjmgcABk5RoPjUEE8nMXyEZY4mJNrEtTQlEnsn34vB/0nZtB9nOzXmlXl+kUwTH4AScAQdUQR1cgwZoAQLuwSN4As/Wg/VivVpv89KCteg5BEuw3r8AIX+e5Q==</latexit>

1<latexit sha1_base64="Bx1a5hcdNhI+NGg5ZoCTD/XdLRY=">AAACD3icdVDLSsNAFJ3UV62vqAsXbgaL4CokRdBlwY3LCn1BE8NkOmmHzkzCzEQoIR/hN7jVtTtx6ye49E+ctBWsjwPDHM65l3vviVJGlXbdd6uysrq2vlHdrG1t7+zu2fsHXZVkEpMOTlgi+xFShFFBOppqRvqpJIhHjPSiyVXp9+6IVDQRbT1NScDRSNCYYqSNFNpHfsTzNMx9yWG7uM39EeIcFUVo112n4ZaAv4nnzH63DhZohfaHP0xwxonQmCGlBp6b6iBHUlPMSFHzM0VShCdoRAaGCsSJCvLZAQU8NcoQxok0T2g4U7935IgrNeWRqeRIj9VPrxT/8gaZji+DnIo000Tg+aA4Y1AnsEwDDqkkWLOpIQhLanaFeIwkwtpktjQl4mUmX4fD/0m34Xiu492c15vNRTpVcAxOwBnwwAVogmvQAh2AQQEewCN4su6tZ+vFep2XVqxFzyFYgvX2CYu1nXk=</latexit><latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp

00

0.5
High- passoc
T

1

⇠

1.5

2

passoc
T

pT

~~~~~

Low- passoc
T
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019<latexit sha1_base64="KUayCcJs9cLEi5U+AIKt2MH492A=">AAACEnicdVDLSgMxFM3UV31X3ekmWARXQ2Yo1u4KblxW6AvaccikaRuazAxJRijDgB/hN7jVtTtx6w+49E/MtBWs6IHA4Zz7yD1BzJnSCH1YhZXVtfWN4ubW9s7u3n7p4LCtokQS2iIRj2Q3wIpyFtKWZprTbiwpFgGnnWBylfudOyoVi8KmnsbUE3gUsiEjWBvJLx33A5HGt2lfCoiVikjmz3gzy/xSGdnIvahVqxDZrltDDspJzXVdBzo2mqEMFmj4pc/+ICKJoKEm3AzrOSjWXoqlZoTTbKufKBpjMsEj2jM0xIIqL53dkMEzowzgMJLmhRrO1J8dKRZKTUVgKgXWY/Xby8W/vF6ih5deysI40TQk80XDhEMdwTwQOGCSEs2nhmAimfkrJGMsMdEmtqUtgcgz+T4c/k/aru0g27mplOuVRTpFcAJOwTlwQBXUwTVogBYg4B48gifwbD1YL9ar9TYvLViLniOwBOv9Cx/rntk=</latexit>

passocTlnpT<latexit sha1_base64="wCLtAvZA61ZhYjci2kMnEHE4mF0=">AAAB/nicdVDLSgMxFL3js9ZX1aWbYBFcDTNF0GVBFy4r2Ad0hpJJM21okhmSjFiGgt/gVtfuxK2/4tI/MdNWsD4OhBzOuZd774lSzrTxvHdnaXlldW29tFHe3Nre2a3s7bd0kilCmyThiepEWFPOJG0aZjjtpIpiEXHajkYXhd++pUqzRN6YcUpDgQeSxYxgY6VOEIk8uGOTXqXquTWvAPpNfHf6e1WYo9GrfAT9hGSCSkM41rrre6kJc6wMI5xOykGmaYrJCA9o11KJBdVhPt13go6t0kdxouyTBk3V7x05FlqPRWQrBTZD/dMrxL+8bmbi8zBnMs0MlWQ2KM44Mgkqjkd9pigxfGwJJorZXREZYoWJsREtTIlEkcnX4eh/0qq5vuf616fV+uU8nRIcwhGcgA9nUIcraEATCHB4gEd4cu6dZ+fFeZ2VLjnzngNYgPP2CTamlsg=</latexit><latexit sha1_base64="KUayCcJs9cLEi5U+AIKt2MH492A=">AAACEnicdVDLSgMxFM3UV31X3ekmWARXQ2Yo1u4KblxW6AvaccikaRuazAxJRijDgB/hN7jVtTtx6w+49E/MtBWs6IHA4Zz7yD1BzJnSCH1YhZXVtfWN4ubW9s7u3n7p4LCtokQS2iIRj2Q3wIpyFtKWZprTbiwpFgGnnWBylfudOyoVi8KmnsbUE3gUsiEjWBvJLx33A5HGt2lfCoiVikjmz3gzy/xSGdnIvahVqxDZrltDDspJzXVdBzo2mqEMFmj4pc/+ICKJoKEm3AzrOSjWXoqlZoTTbKufKBpjMsEj2jM0xIIqL53dkMEzowzgMJLmhRrO1J8dKRZKTUVgKgXWY/Xby8W/vF6ih5deysI40TQk80XDhEMdwTwQOGCSEs2nhmAimfkrJGMsMdEmtqUtgcgz+T4c/k/aru0g27mplOuVRTpFcAJOwTlwQBXUwTVogBYg4B48gifwbD1YL9ar9TYvLViLniOwBOv9Cx/rntk=</latexit>

23

Results from phenomenological studies

Soft particle enhancementwith Hydro Res.

2
1

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="U0LSYrJK1GVuFgtRakENcfLCVZo=">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</latexit>

pT : 5-7 GeV
AuAu, 200 GeV

Coupled LBT Hydro Model Recoil+Hydro
W. Chen, et al., PLB 777, 86 (2018)

PHENIX

1 dN assoc
D (⇠) =
Nd⇠<latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp

Fragmentation function (γ-triggered)2with Hydro Res.

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="c2lMEaN0w8PGcTyk1I6yt+KFcI8=">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</latexit>

pT : 7-9 GeV
AuAu, 200 GeV<latexit sha1_base64="oUoWUmFVIdvwxhibFlchl7YfL1o=">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</latexit>

PHENIX1⇠=<latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp02<latexit sha1_base64="pA1zVuMYbABmvVPEjDkbTUi9f4c=">AAACMnicdVDLSgMxFM34rPVVdekmWAQ3lpkiKIJQdOOyQl/QGYdMmmlDk8yQZMQyzL/4EX6DW93qrrj1I8y0FayPA+Eezn3lniBmVGnbfrUWFpeWV1YLa8X1jc2t7dLObktFicSkiSMWyU6AFGFUkKammpFOLAniASPtYHiV59t3RCoaiYYexcTjqC9oSDHSRvJL5+49hRfw2GXCDSXCaeynruSwkd1OIlIqwlk2J/cR5yjL/FLZrlTtHPA3cSqTaJfBDHW/NHZ7EU44ERozM7jr2LH2UiQ1xYxkRTdRJEZ4iPqka6hAnCgvndyYwUOj9GAYSfOEhhP1e0eKuFIjHphKjvRA/czl4l+5bqLDMy+lIk40EXi6KEwY1BHMDYM9KgnWbGQIwpKav0I8QMYqbWyd2xLw3JOvw+H/pFWtOHbFuTkp1y5n7hTAPjgAR8ABp6AGrkEdNAEGD+AJPIMX69F6s8bW+7R0wZr17IE5WB+fVuer+w==</latexit>

with Hydro Res.

+ Remnant Recoilwith Remnant Recoil<latexit sha1_base64="nw9KKoBB9P73Ak1SxuW8GTCS3O4=">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</latexit>

pT : 12-20 GeV
AuAu, 200 GeV

γ-triggered eventSTAR<latexit sha1_base64="zv3ItRGyX6ilWm827Rxz8DE5Iu8=">AAACEnicdVDLSgMxFM3UV62vqjvdBIvgasgMYu2u4MZlhb6gHYdMmrahycyQZIQyDPgRfoNbXbsTt/6AS//ETFvBih4IOZxzb27uCWLOlEbowyqsrK6tbxQ3S1vbO7t75f2DtooSSWiLRDyS3QAryllIW5ppTruxpFgEnHaCyVXud+6oVCwKm3oaU0/gUciGjGBtJL981A9EGvtpXwrYzG5nN1YqIlnmlyvIRu5FrVqFyHbdGnJQTmqu6zrQsdEMFbBAwy9/9gcRSQQNNeHmkZ6DYu2lWGpGOM1K/UTRGJMJHtGeoSEWVHnpbIcMnhplAIeRNCfUcKb+7EixUGoqAlMpsB6r314u/uX1Ej289FIWxommIZkPGiYc6gjmgcABk5RoPjUEE8nMXyEZY4mJNrEtTQlEnsn34vB/0nZtB9nOzXmlXl+kUwTH4AScAQdUQR1cgwZoAQLuwSN4As/Wg/VivVpv89KCteg5BEuw3r8AIX+e5Q==</latexit>

1<latexit sha1_base64="Bx1a5hcdNhI+NGg5ZoCTD/XdLRY=">AAACD3icdVDLSsNAFJ3UV62vqAsXbgaL4CokRdBlwY3LCn1BE8NkOmmHzkzCzEQoIR/hN7jVtTtx6ye49E+ctBWsjwPDHM65l3vviVJGlXbdd6uysrq2vlHdrG1t7+zu2fsHXZVkEpMOTlgi+xFShFFBOppqRvqpJIhHjPSiyVXp9+6IVDQRbT1NScDRSNCYYqSNFNpHfsTzNMx9yWG7uM39EeIcFUVo112n4ZaAv4nnzH63DhZohfaHP0xwxonQmCGlBp6b6iBHUlPMSFHzM0VShCdoRAaGCsSJCvLZAQU8NcoQxok0T2g4U7935IgrNeWRqeRIj9VPrxT/8gaZji+DnIo000Tg+aA4Y1AnsEwDDqkkWLOpIQhLanaFeIwkwtpktjQl4mUmX4fD/0m34Xiu492c15vNRTpVcAxOwBnwwAVogmvQAh2AQQEewCN4su6tZ+vFep2XVqxFzyFYgvX2CYu1nXk=</latexit><latexit sha1_base64="C9Jd+/82YJfDVmuhds6sQFWsNq8=">AAACKnicdVDLSsNAFJ3UV62vqEs3U4vgKiZF0JW06MJlBWsLTQyT6bQdOpOEmYlQQv7Dj/Ab3OraXXEl+CFO2grW6oFhDufcy733BDGjUtn22CgsLa+srhXXSxubW9s75u7enYwSgUkTRywS7QBJwmhImooqRtqxIIgHjLSC4WXutx6IkDQKb9UoJh5H/ZD2KEZKS75ZdQOeXt2nbh9xjjI/dQWHbhnW61l2suCV4zjLfLNiW1U7B1wkjjX57QqYoeGbH243wgknocIMSdlx7Fh5KRKKYkaykptIEiM8RH3S0TREnEgvndyWwSOtdGEvEvqFCk7Unx0p4lKOeKArOVID+dvLxb+8TqJ6515KwzhRJMTTQb2EQRXBPCjYpYJgxUaaICyo3hXiARIIKx3n3JSA55l8Hw7/J3dVy7Et5+a0UruYpVMEB+AQHAMHnIEauAYN0AQYPIJn8AJejSfjzRgb79PSgjHr2QdzMD6/AAZUqCM=</latexit>

DAA /Dpp

00

0.5
High- passoc
T

1

⇠

1.5

2

passoc
T

pT

~~~~~

Low- passoc
T
Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019<latexit sha1_base64="KUayCcJs9cLEi5U+AIKt2MH492A=">AAACEnicdVDLSgMxFM3UV31X3ekmWARXQ2Yo1u4KblxW6AvaccikaRuazAxJRijDgB/hN7jVtTtx6w+49E/MtBWs6IHA4Zz7yD1BzJnSCH1YhZXVtfWN4ubW9s7u3n7p4LCtokQS2iIRj2Q3wIpyFtKWZprTbiwpFgGnnWBylfudOyoVi8KmnsbUE3gUsiEjWBvJLx33A5HGt2lfCoiVikjmz3gzy/xSGdnIvahVqxDZrltDDspJzXVdBzo2mqEMFmj4pc/+ICKJoKEm3AzrOSjWXoqlZoTTbKufKBpjMsEj2jM0xIIqL53dkMEzowzgMJLmhRrO1J8dKRZKTUVgKgXWY/Xby8W/vF6ih5deysI40TQk80XDhEMdwTwQOGCSEs2nhmAimfkrJGMsMdEmtqUtgcgz+T4c/k/aru0g27mplOuVRTpFcAJOwTlwQBXUwTVogBYg4B48gifwbD1YL9ar9TYvLViLniOwBOv9Cx/rntk=</latexit>

passocTlnpT<latexit sha1_base64="wCLtAvZA61ZhYjci2kMnEHE4mF0=">AAAB/nicdVDLSgMxFL3js9ZX1aWbYBFcDTNF0GVBFy4r2Ad0hpJJM21okhmSjFiGgt/gVtfuxK2/4tI/MdNWsD4OhBzOuZd774lSzrTxvHdnaXlldW29tFHe3Nre2a3s7bd0kilCmyThiepEWFPOJG0aZjjtpIpiEXHajkYXhd++pUqzRN6YcUpDgQeSxYxgY6VOEIk8uGOTXqXquTWvAPpNfHf6e1WYo9GrfAT9hGSCSkM41rrre6kJc6wMI5xOykGmaYrJCA9o11KJBdVhPt13go6t0kdxouyTBk3V7x05FlqPRWQrBTZD/dMrxL+8bmbi8zBnMs0MlWQ2KM44Mgkqjkd9pigxfGwJJorZXREZYoWJsREtTIlEkcnX4eh/0qq5vuf616fV+uU8nRIcwhGcgA9nUIcraEATCHB4gEd4cu6dZ+fFeZ2VLjnzngNYgPP2CTamlsg=</latexit><latexit sha1_base64="KUayCcJs9cLEi5U+AIKt2MH492A=">AAACEnicdVDLSgMxFM3UV31X3ekmWARXQ2Yo1u4KblxW6AvaccikaRuazAxJRijDgB/hN7jVtTtx6w+49E/MtBWs6IHA4Zz7yD1BzJnSCH1YhZXVtfWN4ubW9s7u3n7p4LCtokQS2iIRj2Q3wIpyFtKWZprTbiwpFgGnnWBylfudOyoVi8KmnsbUE3gUsiEjWBvJLx33A5HGt2lfCoiVikjmz3gzy/xSGdnIvahVqxDZrltDDspJzXVdBzo2mqEMFmj4pc/+ICKJoKEm3AzrOSjWXoqlZoTTbKufKBpjMsEj2jM0xIIqL53dkMEzowzgMJLmhRrO1J8dKRZKTUVgKgXWY/Xby8W/vF6ih5deysI40TQk80XDhEMdwTwQOGCSEs2nhmAimfkrJGMsMdEmtqUtgcgz+T4c/k/aru0g27mplOuVRTpFcAJOwTlwQBXUwTVogBYg4B48gifwbD1YL9ar9TYvLViLniOwBOv9Cx/rntk=</latexit>

23

Future perspectives and most recent developments

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Future perspectives and most recent developments

Future perspectives
Recoils vs hydro response
Almost the same effect on observables- More systematic comparison with a consistent setup-

Solid evidence for (sizable) medium responsevs large-angle medium-induced radiation- New jet substructure observables to show clear signal
e.g. Hadro-chemistry in jet-baryon/meson ratio(Anti-)strange baryon ratio

vacuum fragmentation

small

small

thermalized medium

large

large

Baryon/Meson ratio or(Anti-)Strange baryon ratio
vacuum frag. limit
in jetsmall?

therm. med. limit

med. res. contribution

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

large
25

Future perspectives and most recent developments

Future perspectives
Model development for more quantitative study-

Extraction of medium properties by comparison with data

Formulation for in-medium thermalization-

Interpretation of the medium properties

Medium response free observables-

Details of medium-modified shower structure

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201926

Summary

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 2019

Summary
Medium response to jet propagation
Medium’s reaction to interactions with jet- Included in jets observed in heavy ion collisions--

Contains a lot of information (thermalization, viscosity, etc.)-

Necessary for comprehensive understanding of the jet quenching

Models for medium response- Weakly-coupled description →! recoil- Strongly-coupled description !→ hydro response
Eﬀects on jet observables-

Soft particles in wide angle regions around jets

Yasuki Tachibana,『熱場の量子論とその応用』, YITP, September 4th, 201928