Precision tests of the validity of the Standard Model and the search for new fundamental physical phenomena beyond the Standard Model rely both on accurate measurements from a vast new generation of experimental programs, and on the corresponding theoretical efforts. On the theoretical side, a major challenge stems from the need to accurately control hadronic contributions to the relevant physical processes.
This topic aims at providing the basic tools for lattice QCD calculations of such hadronic effects at the "Precision Frontier".
Basic knowledge of Essentials, Algorithms, Fermion discretizations, Data Analysis, Hadron Essentials and Hadron Spectroscopy.
Effective Field Theories (EFTs) [B]
Standard Model (SM): electroweak (EW) and strong interactions, flavour structure [B]
Quark flavour-changing processes:
Weak decays [tree-level, loop-level], effective hamiltonians, Operator Product Expansion (OPE) [B]
Flavour physics phenomenology & rˆole of lattice QCD [B]
Determination of SM parameters: quark masses, CKM matrix elements, . . . [B]
Leptonic ans semileptonic decays, . . . [B]
Indirect searches of New Physics: Flavour Changing Neutral Currents (FCNC), rare decays, . . . [A] mixing and CP-violation, ε′/ε [K → ππ decay amplitudes] [A]
Quark flavour-preserving processes:
magnetic moments: introduction to the g − 2 of the electron, muon, . . . [B]
hadronic vacuum polarization (HVP):
dispersion relations: analyticity, unitarity, space-like and time-like HVP [B]
lattice: muon g − 2, running of αQED, sin2(θW ), connection to perturbative QCD [B]
Lattice computation of the HVP
Euclidean time windows [B], QED+IB corrections to the HVP [A], spectral methods to probe the R-ratio [A]
Hadronic light-by-light (HLbL): dispersive, lattice and connections [A]
Heavy quarks on the lattice [B]
Effective Field Theories (EFTs):
Heavy quarks: HQET [B], NRQCD [A], applications of decoupling, . . . [A]
Light quarks: ChPT and its applications to finite volume effects [B], lattice ChPT (Staggered, Wilson, . . . ) [A], excited-state contamination [A]
Symanzik EFT [B], including asymptotic lattice spacing dependence producing logarithmic corrections [A]
Renormalization, mixing and running: perturbative and non-perturbative [B]
Excited-state contamination: variational approach [B], GEVP [B], distillation [A], . . .
Electromagnetic and strong isospin breaking corrections, including scale setting [A]
Hadronic decays and scattering: K → ππ, K∗, time-like pion form factor, . . . Lu ̈scher formalism [B] and its extensions [A]
Inclusive decays & reconstruction of spectral densities from lattice correlators [A]
Applications of analyticity and unitarity to the description of the momentum dependence of form factors [A]
Noise reduction techniques: (low/all) mode-averaging techniques [B], improved estimators (frequency splitting, . . . ) [A], multi-level algorithm [A]
Data analysis:
error analysis: topology freezing, autocorrelations, Gamma-method, automatic differentiation [B],
resampling techniques [B], bayesian inference [A]
correlated data, goodness-of-fit and p-value [B], information criteria [A]
model averaging [A]
“[B]” refers to a Basic/Beginners level, while “[A]” stands to an Advanced level.
Gauge Theory of Weak Decays The Standard Model and the Expedition to New Physics Summits
Andrzej J. Buras
Publisher: Cambridge University Press
Online publication date: June 2020
Online ISBN: 9781139524100
Effective Field Theory in Particle Physics and Cosmology, Lecture Notes of the Les Houches Summer School: Volume 108, July 2017
Online ISBN: 9780191889370
Print ISBN: 9780198855743 Publisher: Oxford University Press
The Anomalous Magnetic Moment of the Muon
Friedrich Jegerlehner
Springer Tracts in Modern Physics 274, 2017
Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009
Online ISBN: 9780191731792
Print ISBN: 9780199691609 Publisher: Oxford University Press
Data Analysis Techniques – Alberto Ramos
Introduction to Multilevel Algorithms – Martin Lüscher
Including QED in QCD: challenges and way ahead – Agostino Patella
Challenging Nucleon matrix elements – Rajan Gupta
MPA Summer School 2021: Fundamental Interactions in Particle, Hadron and Nuclear Physics – 2021
The muon g − 2 – Jens Erler
Lattice Practices (2021, 2017, 2014, 2012, 2008, . . . ):
https://indico.cyi.ac.cy/event/1/
https://indico.desy.de/event/16832/
https://indico.desy.de/event/9420/
https://indico.desy.de/event/6167/
https://indico.desy.de/event/1113/
Data analysis – R. Sommer and S. Lottini
Data analysis – C. Hoelbling
Simulation algorithms – M. Dalla Brida
HMC algorithms – M. Schaefer
Scale setting – M. Bruno
Solvers – A. Frommer and B. Leder
Disconnected Diagrams – G. Bali
Quantum field theory in a Euclidean and finite volume – Maxwell Hansen
Renormalisation and improvement – Martha Constantinou
Computational methods – Peter Boyle
International Physics School on Muon Dipole Moments and Hadronic Effects in memoriam Simon Eidelman – 2021:
Introduction to QCD+QED in finite volume – Agostino Patella
Introduction to Scale Setting in QCD – Tomasz Korzec
High precision scale setting in lattice QCD – Lukas Varnhorst
Estimating finite volume effects in QCD+QED simulations by using relativistic EFTs – Nazario Tantalo
Chiral Perturbation Theory – Oliver Bär
QCD in a Finite Volume – Sasa Prelovsek
Renormalisation & Improvement – Stefan Sint
Summer School on ”Frontiers in Lattice QCD” at Peking University – 2019:
Nucleon matrix elements and intensity frontier- Rajan Gupta
Computational lattice QCD – Gregorio Herdoíza
Muon g − 2 from lattice QCD – Luchang Jin
QCD+QED – Guido Martinelli
Lattice effective field theory – Ulf-G. Meißner
Lattice flavour physics – Christopher T. Sachrajda
Multi-channel/particle scattering – Stephen R. Sharpe
Nonperturbative renormalization – Rainer Sommer
EFT in Particle Physics and Cosmology, Les Houches – 2017:
Renormalisation and RGEs – M. Neubert
EFT: basic concepts and electroweak applications – A. Manohar
EFT for quark flavour – L. Silvestrini
χPT and electroweak symmetry breaking – A. Pich
Soft Collinear Effective Theory – T. Becher
Heavy Quark Effective Theory & NRQCD – T. Mannel
EFT on the lattice, applied to HQET – R. Sommer
EFT for the direct detection of dark matter – J. Hisano
Lattice QCD – Christopher Sachrajda
Effective Theories – Antonio Pich
Anastassios Vladikas & Gregorio Herdoíza
Les Houches Summer School: Modern perspectives in lattice QCD: Quantum field theory and high performance computing – 2009:
Flavor physics and lattice quantum chromodynamics – Laurent Lellouch
Three Topics in Renormalization and Improvement – Anastassios Vladikas
Introduction to Non-perturbative Heavy Quark Effective Theory – Rainer Sommer
Renormalization and lattice artifacts – Peter Weisz
Computational Strategies in Lattice QCD – Martin Luscher
Applications of chiral perturbation theory to lattice QCD – Maarten Golterman
Simulations with the hybrid Monte Carlo algorithm: Implementation and data analysis – Stefan Schaefer
New Horizons in Lattice Field theory – 2013:
https://iip.ufrn.br/eventsdetail?inf===QT6lUP
https://www.ifsc.usp.br/~lattice/lqcdschool-iip/programme/courses/
Introduction to Lattice Gauge Theory and Chiral Symmetry – Mike Creutz QCD
Thermodynamics – Owe Philipsen
Standard Model and Beyond – Rogerio Rosenfeld
Nonperturbative Renormalization – Rainer Sommer
Effective Field Theories for Lattice QCD – Steve Sharpe
Flavour Physics – Chris Sachrajda
Tutorials
Hadron structure
The enigma of the muon g − 2
Flavor Physics for BSM searches
Introduction to effective field theory – Eric Braaten
Numerical algorithms in lattice field theory – Szabolcs Borsanyi
Chiral perturbation theory (continuum and lattice) – Johan Bijnens
Heavy quarks, NR EFT – Joan Soto
Applications of EFT and lattice to muon g − 2 – Aida El Khadra
QCD+QED – Marina Marinkovich
Flavor physics, EFT and lattice – Ruth Van de Water
Multiparticle scattering – Stephen Sharpe