Wilsonian RG; chiral perturbation theory; HQET / NRQCD / NRQED; SMEFT; gravity EFT; soft-collinear EFT; matching; power counting; baryon ChPT; non-relativistic EFT; multipole expansion; large-N.
Effective Field Theory
EFT foundations
Weinberg theorem: most general Lagrangian consistent with symmetries plus power-counting reproduces low-energy physics;…
Wilsonian renormalization group
Wilson 1971 Nobel: integrating out high-momentum shells generates flow in coupling space; relevant / marginal / irrelevant operators…
Dimensional analysis (EFT)
Operators of dimension d>4 suppressed by powers of (E / Lambda)^(d-4); naive-dimensional-analysis (NDA, Manohar-Georgi 1984) estimates…
Chiral perturbation theory
Weinberg / Gasser-Leutwyler: low-energy QCD with pions / kaons / etas as Goldstones of broken chiral symmetry; expansion in p^2 /…
Heavy-quark effective theory
Isgur-Wise 1989 / Georgi 1990: expansion in 1 / m_Q with heavy quark static plus residual momentum; spin-flavor symmetry SU(2 N_f) emerges;…
SMEFT (Standard Model EFT)
Buchmuller-Wyler / Grzadkowski 2010 Warsaw basis: 59 dim-6 baryon-conserving operators above SM Lagrangian; constrains BSM physics globally…
NRQCD / NRQED
Caswell-Lepage 1986 / Bodwin-Braaten-Lepage 1995: heavy-quarkonium expansion in v / c; J / psi and Upsilon production in p p collisions;…
Gravity EFT
Donoghue 1994: GR as EFT with Lambda_QG about M_Planck; quantum corrections (loops + curvature^2) calculable in low-energy regime; predicts…
Soft-collinear EFT (SCET)
Bauer-Fleming-Pirjol-Stewart 2001: collinear plus soft modes for high-energy jets; factorization of cross-sections for jet observables; B…
EFT matching
At threshold mu = m_Q, full-theory and EFT amplitudes equated to determine Wilson coefficients; perturbative matching at LO, NLO, NNLO;…
EFT power counting
Ratio of light-to-heavy scales (E / Lambda) defines expansion parameter; Weinberg counting / Manohar-Georgi NDA / Kaplan-Savage-Wise (KSW)…
Baryon chiral perturbation theory
Gasser-Sainio-Svarc 1988 + Jenkins-Manohar 1991 HBChPT: expansion around heavy-baryon limit avoids relativistic-baryon power-counting…
Weak effective theory (WET)
Below electroweak scale (~100 GeV), integrate out W/Z/Higgs/top to get WET: 4-fermion operators (e.g. C_VLL u-bar gamma_mu PL d nu-bar…
Lattice EFT (Symanzik improvement)
Symanzik 1981-83 effective theory of lattice-spacing-a discretization errors; expansion in a/Lambda; O(a) Wilson-clover improvement…
NLO running + anomalous dimensions
Wilson coefficients evolve under RG between scales: dC/d ln mu = gamma C + O(alpha^2); anomalous dimension matrix gamma computed at LO then…
Chiral anomaly + EFT (Wess-Zumino-Witten)
Bardeen 1969 chiral anomaly survives in low-energy ChPT as Wess-Zumino-Witten term: integer-coefficient gauge-invariant 5D term descending…
Heavy-light form factor (HQET application)
B -> D form factors in 1/m_b expansion: leading-order Isgur-Wise function xi(w); NLO 1/m_Q corrections + NLO QCD running; |V_cb| extraction…
EFT validity + breakdown
EFT predictions valid up to E ~ Lambda where new physics enters; truncation error ~(E/Lambda)^(d_max - 4); break-down signaled by…