VI. RNC ACTIVITIESRIKEN Accel. Prog. Rep. 54 (2021)

Subnuclear System Research Division
RIKEN BNL Research Center
Computing Group
1. Abstract

The computing group founded in 2011 as a part of the RIKEN BNL Research Center established at Brookhaven National Laboratory in New York, USA, and dedicated to conduct researches and developments for large-scale physics computations important forparticle and nuclear physics. The group was forked from the RBRC Theory Group.
The main mission of the group is to provide important numerical information that is indispensable for theoretical interpretationof experimental data from the first principle theories of particle and nuclear physics. Their primary area of research is lattice quantum
chromodynamics (QCD), which describes the sub-atomic structures of hadrons, which allow us the ab-initio investigation for stronglyinteracting quantum field theories beyond perturbative analysis.
The RBRC group and its collaborators have emphasized the necessity and importance of precision calculations, which will precisely check the current understandings of nature, and will have a potential to find a physics beyond the current standard model offundamental physics. We have therefore adopted techniques that aim to control and reduce any systematic errors. This approach has
yielded many reliable results.
The areas of the major activities are R&D for high performance computers, developments for computing algorithms, and researches of particle, nuclear, and lattice theories. Since the inception of RBRC, many breakthroughs and pioneering works has carriedout in computational forefronts. These are the use of the domain-wall fermions, which preserve chiral symmetry, a key symmetry forunderstanding nature of particle nuclear physics, the three generations of QCD devoted supercomputers, pioneering works for QCD
calculation for Cabibbo-Kobayashi-Maskawa theory, QCD + QED simulation for isospin breaking, novel algorithm for error reduction
in general lattice calculation. Now the chiral quark simulation is performed at the physical up, down quark mass, the precision formany basic quantities reached to accuracy of sub-percent, and the group is aiming for further important and challenging calculations,such as the full and complete calculation of CP violating K → ππ decay and ε′ /ε, or hadronic contributions to muon’s anomalous
magnetic moment g − 2. Another focus area is the nucleon’s shape, structures, and the motion of quarks and gluon inside nucleon
called parton distribution, which provide theoretical guidance to physics for sPHENIX and future Electron Ion Collider (EIC), Hyper
Kamiokande, DUNE, or the origin of the current matter rich universe (rather than anti-matter). Towards finite density QCD, they also
explore Quantum Computing to overcome the sign problem. The Machine Learning (ML) and Artificial Intelligence (AI) are the new
topics some of members are enthusiastically studying lately.

2. Major Research Subjects(1) Search for new law of physics through tests for Standard Model of particle and nuclear physics, especially in the frameworkof the Cabibbo-Kobayashi-Maskawa (CKM), hadronic contributions to the muon’s anomalous magnetic moment (g − 2) for
FNAL and J-PARC’s experiments, as well as B physics at Belle II and LHCb.
(2) Nuclear Physics and dynamics of QCD or related theories, including study for the structures of nucleons related to physics
for Electron Ion Collider (EIC or eRHIC), Hyper Kamiokande, T2K, DUNE.
(3) Theoretical and algorithmic development for lattice field theories, QCD machine (co-)design and code optimization.

3. Summary of Research Activity

In 2011, QCD with Chiral Quarks (QCDCQ), a third-generation lattice QCD computer that is a pre-commercial version of IBM’s
Blue Gene/Q, was installed as an in-house computing resource at the RBRC. The computer was developed by collaboration among
RBRC, Columbia University, the University of Edinburgh, and IBM. Two racks of QCDCQ having a peak computing power of 2 × 200
TFLOPS are in operation at the RBRC. In addition to the RBRC machine, one rack of QCDCQ is owned by BNL for wider use forscientific computing. In 2013, 1/2 rack of Blue Gene/Q is also installed by US-wide lattice QCD collaboration, USQCD. The group
has also used the IBM Blue Gene supercomputers located at Argonne National Laboratory and BNL (NY Blue), and Hokusai and
RICC, the super computers at RIKEN (Japan), Fermi National Accelerator Laboratory, the Jeﬀerson Lab, and others. From 2016, thegroup started to use the institutional cluster both GPU and Intel Knight Landing (KNL) clusters installed at BNL and University ofTokyo extensively.
Such computing power enables the group to perform precise calculations using up, down, and strange quark flavors with proper
handling of the important symmetry, called chiral symmetry, that quarks have. The group and its collaborators carried out the first
calculation for the direct breaking of CP (Charge Parity) symmetry in the hadronic K meson decay (K → ππ) amplitudes, ε′ /ε, which
provide a new information to CKM paradigm and its beyond. They also provide the hadronic contribution in muon’s anomalous magnetic moment (g − 2)µ . These calculation for ε′ /ε, hadronic light-by-light of (g − 2), are long waited calculation in theoretical physics
delivered for the first time by the group. The K → ππ result in terms of ε′ /ε currently has a large error, and deviates from experimental
results by 2.1σ. To collect more information to decide whether this deviation is from the unknown new physics or not, the group continues to improve the calculation in various way to reduce their error. Hadronic light-by-light contribution to (g − 2)µ is improved bymore than two order of magnitudes compared to our previous results. As of 2019 summer, their calculation is among the most precise
determination for the g − 2 hadronic vacuum polarization (HVP), and only one calculation in the world for the hadronic light-by-light(HLbL) contribution at physical point. These (g − 2)µ calculations provide the first principle theoretical prediction for on-going newexperiment at FNAL and also for the planned experiment at J-PARC. Other projects including flavor physics in the framework of the- 329 -

VI. RNC ACTIVITIESRIKEN Accel. Prog. Rep. 54 (2021)

aHVP,LO. 1010µ

Magnetic field
ETM-18/19
Mainz/CLS-19
FHM-19PACS-19
RBC/UKQCD-18
BMW-17Mainz/CLS-17
HPQCD-16
ETM-13muon

Hadronic Vacuum Polarization (HVP)(a) V(c) ST

(b) S

(f) F

(d) T

KNT-19DHMZ-19
BDJ-19Jegerlehner-18(e) TdRBC/UKQCD-18
LQCD
Pheno.

(h) D3T(g) D3

No New Physics

Pheno+LQCD(i) D1(j) D1T(k) D1d(l) D1d,T(m) D2(n) D2d

600

650

700

750

Figure 42: Photonic-correction diagrams to order O(↵) with external vector operators. Adapted from Ref. [403].

LO
10 . The filled
Fig. 1. Feynman diagrams for Lattice QCD computationsof Muon’s
anoma- of recent
Fig.results
2. Current
VacuumPolarization(HVP)
con-that are included i
Figure44: Compilation
for aHVP,in unitsofofthe
10 Hadronic
dark blue
circles are lattice
resultsµ summaryworld
average”.
Theaverage,which
isobtainedfroma conservative
averagingprocedurein Sec.
3.5.1,
isAboveindicatedlous magnetic moment (g − 2)µ to take into account for the eﬀects of.
theby a light blue ban
tribution for Muon’s
anomalous
magnetic
moment(g−2)µ
LO
indicates the “no new physics” scenario, where aHVP,
are large enough to bring the SM prediction of aµ int
quark’s electric charges. Each diagram, in which thelight-green
black dotsband
connectupper horizontal line shows µvariousresults
Lattice
QCD determinations of HVP
with experiment. The unfilled dark blue circles are lattice results that are older or superseded by more recent calculations. The red squing the quark propagators (solid curves) are the electric
while
the redresultsinfrom
hadronic
decay
electronpositron
resultscurrent
obtainedemmitfrom the data-driven
methods
reviewed
Sec. 2.
See Table
8 forofmore
information
on scattering
the results included in the pting or absorbing photons (wave curves), representsfrom
a partof [443].
the isospin(R-ratio), the green bands is the experimental results of (g − 2)µ showing
Ref.
Figure 43: SIB-correction diagrams to order O(∆m). The diamonds denote the insertion of a scalar operator. Adapted from Ref. [403].
breaking eﬀects to hadronic vacuum polarization contribution to (g−2)µa 3–4σ discrepancies.
setof diagrams(topplot).coming from the expansion to O(↵) in the QED coupling is shown in Fig. 42. These diagrams can29

be divided into three di↵erent classes: QED corrections to the quark-connected contributions are given by diagrams V,
S , and S T ; diagrams F, D3, and D3T represent corrections to the quark-disconnected contributions; while diagrams T ,D1, D1T , D2 and T d , D1d , D1d,T , D2d account for QED IB e↵ects coming from dynamical sea quarks for the quarkconnected and quark-disconnected contributions (the latter denoted by a subscript d), respectively. Diagrams S T , D1T ,
D3T , D1d,T of Fig. 42, denoted by subscripts T , correspond to the insertions of the tadpole operator. The latter is afeature of lattice discretization and plays a crucial role in order to preserve gauge invariance to O(↵) in the expansionof the quark action. In the calculation performed in Ref. [11] tadpole contributions are absent since insertions of local
vector currents are used. Regularization-specific IB e↵ects associated with the tuning of the quark critical masses in
the presence of QED interactions [389, 393] arise when the lattice fermionic action does not preserve chiral symmetry,
as in the case of Wilson and twisted-mass fermions (see, e.g., Refs. [12, 375]). This requires in addition the evaluationof diagrams with insertions of pseudoscalar densities (i.e., replacing the insertions of a scalar operator in Fig. 43 bypseudoscalar currents). IB corrections due to the expansion in the quark masses are given by the diagrams in Fig. 43.
The ETM [12, 375] and RBC/UKQCD [11] calculations are performed within the so-called electroquenchedapproximation, i.e., by treating sea quarks as neutral particles with respect to electromagnetism. Thus, diagrams where

are not included in the averages.
LO(ud), shown in the u
The lattice results for the dominant light-quark connected contribution aHVP,
µ
HVP,
LO
CKM theory for kaons and B mesons that include
new45,
calculation
b-baryonΛb →p; theelectromagnetic.properties
There is a 2.4 tension
paneltheof Fig.
exhibit a ofsimilarspreaddecay,
in central
valuesas those
for aµof hadrons; the proton’s and neutron’s form factors
and structure
functionincludingelectric
proton[15],decay;
nucleonthe resultswith lowest(ETM-18/19[17, 377])
anddipolehighestmoments;(Mainz/CLS-19
PACS-19[13]) central val
form factors, which are related to the proton spin
problemorneutrino-nucleon
interaction;
Neutron-antineutron
oscillations;
inclusive
BMW-17 [10], RBC/UKQCD-18 [11], FHM-19 [14], and Aubin et al.-19 [16] lie in between. In HPQCD
hadronic decay of τ leptons; nonperturbative studies
for beyond
standard
model suchcomposite
Higgs
or darkmodelsfromthe light-quark
connected
contribution
is notdefined in
the samewaymatteras in thisreview,
as it is evaluateLthe physicalchargedpion mass.
As electromagnetica result it cannot properties;
be directly QCD
comparedto lattice results for aHVP,
strong strongly interacting gauge theories; a few-bodynuclearphysics
and their
thermodynamicsµ
HVP, LO
The use of lattice conserved vector currents at the source and at the sink requires the evaluation of additional diagrams [432].
in finite temperature/density systems such as those
producedin heavy-ion
at the Relativistic
Heavy
Collider;Quantum
is sensitive
to the long-dista
is therefore
omittedfrom Fig.collisions
45. As discussed
in Sec. 3.2,
aµ Ion (ud)77
Euclideantime) behaviorof thevector-current
correlator, which is the region where the correlator su↵ers f
Information, Quantum Computing; and applicationsof Machine
Learning(ML)
in field theories.
It is thepossiblethat thetension ofis related
to thedi↵erent strategies
employed
The RBRC group and its collaborators haveproblem.
emphasizednecessity
andaboveimportance
precision
calculations,which will
provideto control and m
Furthercomparisonsof otherintermediate
quantities with di↵estringent checks for the current understandingsimportantof nature,region.
and willhaveinvestigations,a potential to including
find physics
beyond thecurrent
standard modelof sensitivity
to thethat
shortandtolong-distancewould be useful.
factapproachthat the tension betweeof fundamental physics. We have therefore adopted
techniques
aim
control and contributions,
reduce any systematic
errors.The
This
is larger
individual
errorssub-percent
may be an indicationthat some systematic e↵ects are underestim
has yielded many reliable results, many of basicresults
quantities
arethannowthecomputed
withinaccuracies.
expectthat
thissituationwill
improveinfuturehigh-precision
studies,which willThese
enablemore refined analy
The group also delivers several algorithmic breakthroughs, which speed up generic lattice gauge theory computation.
novel
underlying systematic errors.
technique divides the whole calculation into frequent approximated calculations, and infrequent expensive
and accurate
calculation
LO
LO
The strange- and charm-quark connected contributions aHVP,(s) and aHVP,(c) are shown in the uµµusing lattice symmetries called All Mode Averaging (AMA), or a compression for memory needs by exploiting
the local-coherence
and lower-left panels of Fig. 45 respectively. These quantities are already calculated at close to target
of QCD dynamics. Together with another formalism,
zMobius fermion,
which approximatechiral lattice quark action eﬃciently, theLO
LO
The results for aHVP,(s) and for aHVP,(c) from Refs. [10, 11, 17, 358, 377] are nicely consistent. Hoµµtypical calculation is now improved by a couple of orders of magnitudes,
and more than an order of magnitude less memory needs HVP, LO
HVP, LO(s) is in 1 tension with the other lattice results while for a(c) it is
PACS-19 [13] result for aµcompared to the traditional methods. RBRC groupand its collaborators also provide very eﬃcient and generic code optimized to the µ
2 tension with the rest. The strange- and charm-quark connected contributions, while insensitive to FVE
29state-of-arts CPU or GPU, and also improve how to eﬃciently generate QCD ensemble.

81

Members
Group Leader
Taku IZUBUCHI
Special Postdoctoral Researchers
Akio TOMIYARBRC Researchers- 330 -

in the “latticend, while theto agreement
uares indicate
plot. Adapted

upper-rightn between
lues, while
D-16 [376],
ed there atLO(ud) andance (large
from a StN
model thiserent levels
en di↵erent
mated. We
yses of theupper-right
precision.
owever, thes in almost
Es and StN

VI. RNC ACTIVITIESRIKEN Accel. Prog. Rep. 54 (2021)

Sergey SYRITSYNLuchang JIN

Visiting Scientists
Thomas BLUM (Univ. of Connecticut)
Chulwoo JUNG (BNL)
Shigemi OHTA (KEK)
Tomomi ISHIKAWA (Shanghai Jiao-Tong Univ.)
Christoph LEHNER (BNL)

Meifeng LIN (BNL)
Robert MAWHINNEY (Columbia Univ.)
Hiroshi OKI (Nara Women’s Univ.)
Christopher KELLY (Columbia Univ.)

List of Publications & Presentations
Publications[Original Papers]
M. Abramczyk, T. Blum, T. Izubuchi, C. Jung, M. Lin, A. Lytle, S. Ohta, E. Shintani, “Nucleon mass and isovector couplings in 2 + 1flavor dynamical domain-wall lattice QCD near physical mass,” Phys. Rev. D 101, no.3, 034510 (2020).
T. Izubuchi, L. Jin, C. Kallidonis, N. Karthik, S. Mukherjee, P. Petreczky, C. Shugert, S. Syritsyn, “Valence parton distribution functionof pion from fine lattice,” Phys. Rev. D 100, 034516 (2019).
N. H. Christ, X. Feng, L. C. Jin, C. T. Sachrajda, “Finite-volume eﬀects in long-distance processes with massless leptonic propagators,”
Phys. Rev. D 103, 014507 (2021).
Y. Li, S. C. Xia, X. Feng, L. C. Jin, C. Liu, “Field sparsening for the construction of the correlation functions in lattice QCD,” Phys. Rev.
D 103, 014514 (2021).
C. Y. Seng, X. Feng, M. Gorchtein, L. C. Jin, U. G. Meißner, “New method for calculating electromagnetic eﬀects in semileptonic
beta-decays of mesons,” J. High Energy Phys. 10, 179 (2020).
X. Gao, L. Jin, C. Kallidonis, N. Karthik, S. Mukherjee, P. Petreczky, C. Shugert, S. Syritsyn, Y. Zhao, “Valence parton distribution of thepion from lattice QCD: Approaching the continuum limit,” Phys. Rev. D 102, 094513 (2020).
HI +HI

X. Feng, L. C. Jin, Z. Y. Wang, Z. Zhang, “Finite-volume formalism in the 2 −−−−−→ 2 transition: An application to the lattice QCD
calculation of double beta decays,” Phys. Rev. D 103, 034508 (2021).
R. Abdul Khalek et al., “Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report,”
arXiv:2103.05419 [physics.ins-det].
X. Gao, N. Karthik, S. Mukherjee, P. Petreczky, S. Syritsyn, Y. Zhao, “Pion form factor and charge radius from Lattice QCD at physicalpoint,” arXiv:2102.06047 [hep-lat].
X. Gao, N. Karthik, S. Mukherjee, P. Petreczky, S. Syritsyn, Y. Zhao, “Towards studying the structural diﬀerences between the pion andits radial excitation,” Phys. Rev. D 103, 094510 (2021).
G. Silvi, S. Paul, C. Alexandrou, S. Krieg, L. Leskovec, et al., “P-wave nucleon-pion scattering amplitude in the ∆(1232) channel fromlattice QCD,” Phys. Rev. D 103, 094508 (2021).
M. Yu. Barabanov, M. A. Bedolla, W. K. Brooks, G. D. Cates, C. Chen, et al., “Diquark correlations in hadron physics: Origin, impact
and evidence,” Prog. Part. Nucl. Phys. 116, 103835 (2021).
M. Engelhardt, J. R. Green, N. Hasan, S. Krieg, S. Meinel, J. Negele, A. Pochinsky, S .Syritsyn, “From Ji to Jaﬀe-Manohar orbital angularmomentum in lattice QCD using a direct derivative method,” Phys. Rev. D 102, 074505 (2020).
G. Rendon, L. Leskovec, S. Meinel, J. Negele, S. Paul, et al., “I = 1/2 S -wave and P-wave Kπ scattering and the κ and K ∗ resonancesfrom lattice QCD,” Phys. Rev. D 102, 114520 (2020).
Z. Fan, X. Gao, R. Li, H. -W. Lin, N. Karthik, et al., “Isovector parton distribution functions of the proton on a superfine lattice,” Phys.
Rev. D 102, 074504 (2020).
H. T. Ding, S. T. Li, Swagato Mukherjee, A. Tomiya, X. D. Wang, Y. Zhang, “Correlated Dirac eigenvalues and axial anomaly in chiralsymmetric QCD,” Phys. Rev. Lett. 126, 082001 (2021).
M. Kawaguchi, S. Matsuzaki, A. Tomiya, “Nonperturbative flavor breaking in topological susceptibility at hot QCD criticality,” Phys.
Lett. B 813, 136044 (2021).
H. -T. Ding, C. Schmidt, A. Tomiya, X. -D. Wang, “Chiral phase structure of three flavor QCD in a background magnetic field,” Phys.
Rev. D 102, 054505 (2020).
B. Chakraborty, M. Honda, T. Izubuchi, Y. Kikuchi and A. Tomiya, “Digital quantum simulation of the Schwinger model with topologicalterm via adiabatic state preparation,” arXiv:2001.00485 [hep-lat].

[Review Articles]
T. Aoyama, N. Asmussen, M. Benayoun, J. Bijnens, T. Blum, M. Bruno, I. Caprini, C. M. Carloni Calame, M. Cè and G. Colangelo, etal., “The anomalous magnetic moment of the muon in the Standard Model,” Phys. Rept. 887, 1–166 (2020).

[Books]Akio Tomiya, “An introduction to machine learning in physics” (in Japanese), Kodansha, March 2021.
K. Hashimoto, A. Tanaka, A. Tomiya, “Deep learning and physics,” Springer, February 2021.

[Proceedings]- 331 -

VI. RNC ACTIVITIESRIKEN Accel. Prog. Rep. 54 (2021)

T. Izubuchi, H. Ohki and S. Syritsyn, “Computing Nucleon Electric Dipole Moment from lattice QCD,” PoS LATTICE2019, 290 (2020).
M. Bruno, T. Izubuchi, C. Lehner and A. S. Meyer, “Exclusive Channel Study of the Muon HVP,” PoS LATTICE2019, 239 (2019)
M. Kawaguchi, S. Matsuzaki, A. Tomiya, “Analysis on nonperturbative flavor violation at chiral crossovercriticality in QCD,”
arXiv:2005.07003 [hep-ph].
A. Tomiya, Y. Nagai, “Gauge covariant neural network for 4 dimensional non-abelian gaugetheory,” arXiv:2103.11965 [hep-lat].
M. Kawaguchi, S. Matsuzaki, A. Tomiya, “A new critical endpoint in thermomagnetic QCD,” arXiv:2102.05294 [hep-ph].
Y. Nagai, A. Tanaka, A. Tomiya, “Self-learning Monte-Carlo for non-abelian gauge theory withdynamical fermions,” arXiv:2010.11900[hep-lat].
H. -T. Ding, S. -T. Li, A. Tomiya, X. -D. Wang, Y. Zhang, “Chiral properties of (2 + 1)-flavor QCD in strong magnetic fields at zerotemperature,” arXiv:2008.00493 [hep-lat].
H. -T. Ding, S. -T. Li, S. Mukherjee, A. Tomiya, X. -D. Wang, “Meson masses in external magnetic fields with HISQ fermions,”
arXiv:2001.05322 [hep-lat].

Presentations[International Conferences/Workshops]
L. Jin (invited), “Lattice calculations in muon g − 2,” The Hadron Mass and Structure Forum, online, April 2021.
L. Jin (invited), “Muon g−2: hadronic light-by-light contribution and lattice QCD,” The Muon g−2 Discussion Forum, Peking University,
online, April 2021.
L. Jin (invited), “Pion electric polarizability,” the χQCD Collaboration Meeting, online, January 2021.
L. Jin (invited), “Lattice calculation of the hadronic light-by-light contribution to the muon magnetic moment,” The Hadron Physics
Online Forum, online, August 2020.
S. Syritsyn (invited), “Nucleon Form Factors at High Momentum Transfer from Lattice QCD,” Nuclear & Particle Theory Seminar,
MIT/CTP, March 9, 2020.
A. Tomiya (oral), “Self-learning Monte-Carlo for non-abelian gauge theory withdynamical fermions,” APS April Meeting 2020, Virtual,
April 18–21, 2020
A. Tomiya (invited), “Self-learning Monte-Carlo for non-abelian gauge theory with dynamical fermions,” Workshop on Non-Equilibrium
Systems and Machine Learning, Virtual, March 30, 2020.
A. Tomiya (oral), “Quantum computing for QCD phase diagram? Finite chemicalpotential and temperature?” Kickoﬀ Meeting of C2QACenter, Virtual (BNL), October 30, 2020.
A. Tomiya (invited), “Machine learning and theoretical physics,” Progress of Particle Physics 2020, Virtual (YITP), September 4, 2020.
A. Tomiya (oral), “Thermal field theory with pure states,” Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020), Virtual(KEK), August 6, 2020 (JST).
A. Tomiya (invited), “Applications of machine learning to computational physics,” A. I. for Nuclear Physics, Virginia (Jeﬀerson Laboratory), U.S.A., March 3, 2020.

[Domestic Conferences/Workshops]
富谷昭夫 (口頭発表), “Gauge covariant neural network for 4 dimensional non-abelian gaugetheory,” 「ゲージ共変なニューラルネットと 4 次元非可換ゲージ理論への応用 (Gauge covariant neural network for 4 dimensional non-abelian gauge theory)」, Deep Learning
and Physics, オンライン開催, 2020 年 4 月 8 日 (JST).
富谷昭夫 (口頭発表), 「動的フェルミオンを含む非可換ゲージ理論のための自己学習モンテカルロ法」, 日本物学会第 76 回年次大会, オンライン開催, 2021 年 3 月 12–15 日 (JST).
富谷昭夫 (招待講演), チュートリアル講演「理論物理学における機械学習の応用」, 第 5 回 統計・機械学習若手シンポジウム, オンライン開催, 2020 年 12 月 3–5 日 (JST).
富谷昭夫 (口頭発表), 「ニューラルネットを使った 2 次元イジング模型の相検出」, Deep Learning and Physics 2020, オンライン開催 (大阪大学), 2020 年 11 月 26 日 (JST).

[Seminars]
L. Jin (invited), “Lattice calculations in muon g − 2,” The Theory Seminar at the Department of Physics and Astronomy, University ofCalifornia, Davis, online, May 2021.
L. Jin (invited), “Lattice calculations in muon g − 2,” The Lunch Seminar at the Institute of Theoretical Physics, Chinese Academy of
Sciences, online, April 2021.
L. Jin (invited), “First-principles calculation of electroweak box diagrams from lattice QCD,” The Physics Seminar in Hunan University,
online, December 2020.
L. Jin (invited), “First-principles calculation of electroweak box diagrams from lattice QCD,” The Theory Seminar at the Institute ofModern Physics, Chinese Academy of Sciences, online, July 2020.
L. Jin (invited), “First-principles calculation of electroweak box diagrams from lattice QCD,” The BNL Nuclear Theory Seminar, online,
May 2020.
L. Jin (invited), “Lattice calculation of the hadronic light-by-light contribution to the muon magnetic moment,” The QCD Seminar, online,
May 2020.
S. Syritsyn (invited), “From quarks and gluons to nucleons and nuclei,” Seminar at IACS (Inst. Adv. Comp. Sci), Stony Brook, Oct 8,- 332 -

VI. RNC ACTIVITIESRIKEN Accel. Prog. Rep. 54 (2021)

2020.
A. Tomiya (oral), “Gauge covariant neural network for 4 dimensional non-abelian gaugetheory,” MIT, online, April 29, 2020.
A. Tomiya (oral), “Applications of machine learning on theoretical physics,” Ochanomizu University, online, May 19, 2020.
A. Tomiya (oral), “Gauge covariant neural network for 4 dimensional non-abelian gaugetheory,” RIKEN Center for Computational Science (R-CCS), online, April 28, 2020.
A. Tomiya (oral), “Applications of machine learning for theoretical physics,” J-PARC, online, March 18, 2020.
A. Tomiya (oral), “Self-learning Monte-Carlo for non-abelian gauge theory withdynamical fermions,” Yukawa Institute for Theoretical
Physics (YITP), Kyoto Univeristy, online, December 7, 2020.
A. Tomiya (oral), “Applications of machine learning on theoretical physics,” Shimane University, online, October 29, 2020
A. Tomiya (oral), “Lattice gauge theory with quantum computers,” RIKEN Center for Computational Science (R-CCS), online, June 3,2020.
A. Tomiya (oral), “Lattice gauge theory with quantum computers,” Osaka University, online, May 12, 2020.

Awards
富谷昭夫, 理研基礎科学特別研究員 成果発表会ポスター賞, 2021 年 1 月.

Press Releases
Brookhaven National Laboratory (April 7, 2021), “Background on Brookhaven Lab’s Involvement in the Muon g-2 Experiment,” https://www.bnl.gov/newsroom/news.php?a=218814 .
CERN Courier (April 14, 2021), “An anomalous moment for the muon,” https://cerncourier.com/a/an-anomalous-moment-fo
r-the-muon/ .
UConn Today (May 20, 2021), “UConn Physicists Focus on a Law-Breaking Particle,” https://today.uconn.edu/2021/05/uconnphysicists-focus-on-a-law-breaking-particle/ .

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