Dynamical scalegenesis
via multiple seesaws
Shinya Matsuzaki
Department of Physics &Institute for Advanced Research, Nagoya U.
Based onPhys.RevD.95 (2017)
H.Ishida, S.M, S.Okawa, Y.Omuraand also
Phys.RevD.94(2016); 1610.07137,
H.Ishida, S.M, Y.Yamaguchi@ PPP201707/31 - 08/04/2017

0. Introduction☆ Discovery of Higgs boson in 2012--- last piece of particles predicted in SM--- very successful SM pheno. so far☆ It’s NOT the end of the story!…
--- still lots of stuff left needed to account fore.g. neutrino masses (mixing),
dark matter, baryon asymmetry, etc

☆ In particular,
unsatisfactory stuff on theoretical ground:--- origin of mass is given “by hand”--- why mH^2 <0 (dynamical origin?) and O(100 GeV)^2?
(related to gauge hierarchy problem)--- No answer in SM☆ Typical ideas to access the origin of mass(or gauge hierarchy problem)i) eliminate Higgs, replace fully by strong dynamics
e.g. Technicolor-like scenarioii) protect Higgs by some symmetrye.g. SUSY, composite Higgs, scale symmetry

☆ Typical ideas to access the origin of mass(or gauge hierarchy problem)
Well… it’s on breaki) eliminate Higgs, replace fully by strong dynamics
e.g. Technicolor-like scenarioii) protect Higgs by some symmetrye.g. SUSY, composite Higgs, scale symmetry--- Today, let’s take scale symmetry!
(classical scale-inv.)

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationi) Coleman-Weinberg mechanism(Radiative sym. Breaking)But, no way only within SM(vacuum instability due to large top loop)--- Call for Beyond SM

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationi) Coleman-Weinberg mechanism(Radiative sym. Breaking)
Extensions w/ Higgs portal term(a) κ = O(1), and >0; Φ loop effect included-- assume Φ-symmetric phase: <Φ>=0-- requires Φ mass > O(EW) or large # of Φ to stabilize EW vacuum:

K.Endo, et al (2016); K.Hashino, et al(2016)

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationi) Coleman-Weinberg mechanism(Radiative sym. Breaking)
Extensions w/ Higgs portal term(b) κ << O(1), and <0; Φ effect decoupled, but-- if Φ is U(1)’ (e.g. U(1)_B-L) charged,
then CW mechanism works for the U(1)’ sector-- nonzero Φ-VEV generates Higgs mass term <0,triggers EWSB
S.Iso, et al (2009,2013); N.Okada, et al(2012,2016);

I.Oda (2013); V.V.Khoze, et al(2013); M.Hashimoto, etal (2014); J.Guo, et al(2015)

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationii) Strong gauge dynamics (hidden/dark QCD)
(nonperturbative sym. Breaking)
Extensions w/ Higgs portal term

* κ <<O(1), and <0* Φ = a scalar with strong coupling to hidden/dark QCD--- below the dynamical scale, dark QCD generates scalar condensation:

F.Wilczek (2008); T.Hur, et al(2011);
M.Holthausen, et al (2013); J.Kubo, et al(2014)

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationiii) Strong gauge dynamics (vectorlike-SM gauging)= vectorlike confinement (hypercolor: HC)--- “bosonic seesaw mechanism”

N.Haba et al (2009,2016,2017); O.Antipin, et al (2015);
H.Ishida, S.M., Y.Yamaguchi (2016);
H.Ishida, S.M., S.Okawa, Y.Omura (2017)

Extensions w/ Yukawa term & HC fermions (F_{L/R})

N.Haba et al (2016,2017);
H.Ishida, S.M., Y.Yamaguchi (2016)

☆ Then, how to generate “scales”, realize EWSB?
 dimensional transmutationiii) Strong gauge dynamics (vectorlike-SM gauging)= vectorlike confinement (hypercolor: HC)--- “bosonic seesaw mechanism”

N.Haba et al (2009,2016,2017); O.Antipin, et al (2015);
H.Ishida, S.M., Y.Yamaguchi (2016);
H.Ishida, S.M., S.Okawa, Y.Omura (2017)

Extensions w/ Yukawa term & HC fermions (F_{L/R})

N.Haba et al (2016,2017);
H.Ishida, S.M., Y.Yamaguchi (2016)

Slide of this part borrowed from
Y.Yamaguchi

N.Haba et al (2009,2016,2017); O.Antipin, et al (2015);
H.Ishida, S.M., Y.Yamaguchi (2016);
H.Ishida, S.M., S.Okawa, Y.Omura (2017)

☆Constraint on scenarios of scalegenesis~ asymptotic safety condition ~-- scale/trace anomaly (quadratic, quartic divergence)
should be generated at quantum level-- which may, however, be cancelled
by gravitational effects at Planck scale
M. Shaposhnikov, et al (2010); C. Wetterich, et al (2016);
A. J. Helmboldt, et al (2016)--- Hence, to keep the classical scale-inv.
theory has to be safe up to Planck scale(i.e. free from Landau poles)

☆ This talk introduces a bosonic seesaw model, shows that* single HC dynamics explains
all masses for existing particles-- SM particles including 125 GeV Higgs,-- active (RH) neutrinos,-- dark matter candidate (composite or elementary),
by EWSB and U(1)_{B-L} breaking
More interesting than otherscale-inv. models* rich pheno. at TeV is predicted:-- HC hadrons (pions, scalar mesons, baryons,…)-- B-L Higgs, gauge boson-- a “new” production process for DM in thermal history,
DM detection exp. , etc.

Contents
0. Introduction
1. Bosonic seesaw model w/ multiple seesaws-- dynamical scalegeneration
2. Summary

1. Bosonic seesaw model w/ multiple seesaws
Phys.RevD.95 (2017)-- dynamical scalegeneration H.Ishida, S.M, S.Okawa, Y.Omura* SM gauges x U(1)B-L
x SU(3)HC x CSI
quarksleptons
elementary EW Higgs
RHMν (3 generations)
elementary B-L Higgs
HC fermions (x4)SU(2) doublet
SU(2) singlet
SU(2) singlet

* Criterion for modeling HC sector:

Making “mirror” Higgses by HC strong dynamics

H ~ (1,2,1/2,0)

φ~ (1,1,0,-2)

to be seesaw partners via HC-fermion Yukawa terms:

* Dynamical mass generation: sequence of seesaws-- approximate “chiral”
SU(4) x SU(4) sym. in HC sector(explicitly broken by gauges andHC-fermion Yukawa ints.)-- spontaneously broken at-- as well as CSI, simultaneously

up to HC-fermion axial U(1) (anomaly)(say, O(TeV) – O(10TeV))* Dynamical mass generation: sequence of seesaws-- theory below HC scale,described by HC hadrons-- (ref. QCD) low-lying spectra
include:- HC pions x 15 (pNG bosons){+ HC eta’}- HC scalar mesons x 16
- HC spin ½ baryons x 20 (incl. DM),
{and vector (axialvector) mesons}* Dynamical mass generation: sequence of seesaws
Among HC hadrons, focus on “mirror” composite Higgses

via HC-fermion Yukawa terms:

trigger two seesaws:
realize EWSB & U(1)B-L breaking w/-- physical Higgs masses

* Dynamical mass generation: sequence of seesaws
Furthermore, via RH Majorana ν-Yukawa terms:

trigger neutrino seesaw (Type I):-- active and heavy RHM neutrino masses

DM candidates

(I)

(II)

DM candidate = SM-gauge singlet, lightest HC baryons (TeV- O(10) TeV)
* This charge choice is consistent w/ asymptotic safety

Other baryons decay to DMs + weak bosons(*) + HC pions (*)

DM production in early universe* B-L singlet DM,for simplicity-- lightest HC baryons (B=case I)-- generated @ T = HC baron mass scale O(1) – O(10) TeV:
DM=nonrelativistic; might have never been thermalized(* HC pions can be as heavy as HC baryons;
HC pions might have never been in thermal EQ as well.)-- dominant source for DM production= bosonic seesaw portal process

mixingH.Ishida, S.M, Y.Yamaguchi (2016)

BSMBSM-- non-thermal production like “freeze-in” scenario (FIMP, E-WIMP)DM production in early universe* B-L singlet DM,for simplicity-- lightest HC baryons (B=)-- @ T = HC baron mass scale O(1) – O(10) TeV:
DM=nonrelativistic; might never be thermalized(* HC pions can be as heavy as HC baryons;
HC pions might never be in thermal EQ.)-- dominant source for DM production= bosonic seesaw portal process

mixingH.Ishida, S.M, Y.Yamaguchi (2016)

BSMBSM-- non-thermal production like “freeze-in” scenario (FIMP, E-WIMP)@ DM detection experiments
Ref: q’ = 0DMDM

Ref: q’ = 1

DMZ’γ, ZN

N’mag.moment int.
w/ g-factor: g ~ 1(I)

DMN

(II)
N’

B-L gauge int.:g_{B-L}^2/m_Z’^2= 1/vφ^2

preference to be clarified
in future exps.

Current bounds on SI cross sections(LUX2016&XENON1T)

(I)
(II)

3. Summary* Bosonic seesaw models:-- interesting scenario giving
dynamical explanation for origin of mass,solving gauge hierarchy problem-- can provide rich pheno. for TeV scale physics
HC composite spectra: incl natural DM candidate* We discussed a dynamical scalegenesis:-- all particle masses generated by a single HC* Future direction --- HC hadron collider signatures at LHC--- effect on flavor physics-- GW detectability of HC phase transition, etc.
 under consideration