Effective Field Theory

Calendar

LEC #	TOPICS	SUBTOPICS
Part I: Effective Field Theory (EFT)
1	Introduction to Effective Field Theory (EFT)	EFT of Hydrogen, top-down and bottom-up, renormalizable EFT
2	Dimensional Power Counting	Marginal & (ir)relevant operators, Standard Model as and EFT, start field redefinitions
3	Field Redefinitions	Finish field redefinitions, discuss loops, regularization and the impact on power counting
4	Matching and Decoupling	Alphas(mu) and integrating out massive particles in MSbar, Electroweak Hamiltonian Hw
5	Classic Operator Renormalization Group Equations (RGE)	Renormalization group equations for Hw, running & scale variations, LL, NLL, …, matching and scheme dependence
6	Chiral Lagrangians	Linear sigma model & field redefinitions, non-linear Lagrangian & symmetry breaking, Spurion analysis, start loops
7	Chiral Loops	Loops in ChPT in dimensional regularization, naive dimensional analysis, momentum power counting theorem, SU3, start Heavy Quark Effective theory
8	Heavy Quark Effective Theory (HQET)	QCD to HQET, velocity labels, power counting, heavy quark symmetry, spectroscopy, covariant superfields, start loops
9	HQET Matching & Power Corrections	Detailed matching calculation, velocity dependent anomalous dimension and Wilson coefficients, power corrections and reparameterization invariance
10	HQET Examples	Heavy hadron masses, exclusive semileptonic decays, inclusive decays and OPE, pole mass versus short distance masses, start renormalons
11	Renormalons	Bubble sum for heavy quark mass, removing renormalon ambiguities with scale R, R-RGE, all orders formula for Lambda_QCD
12	More Renormalons	Solution of R-RGE, sum rule for renormalons, renormalons in OPEs, connecting Wilsonian and Continuum EFT
13	EFT with Fine Tuning	2-nucleon nonrelativisitic EFT, bubble sums & effective range expansion, fine tuning from RGE flow between fixed pts, power corrections
14	EFT with Fine Tuning Part 2	Conformal invariance, SU(4) symmetry, calculations with the deuteron bound state, start SCET
Part II: Soft-Collinear Effective Theory (SCET)
15	Soft-Collinear Effective Theory (SCET) Introduction	Degrees of freedom, light cone coordinates, SCETI & SCETII, jets and energetic hadrons, collinear propagators
16	SCET Collinear Wilson Lines	W from integrating out offshell propagators, SCET Lagrangian
17	SCET Multipole Expansion	Multipole expansion with label and residual momenta, label operators, Wilson line identities
18	SCET Beyond Tree Level	Gauge symmetry, reparameterization invariance
19	SCET Beyond Tree Level 2	Extension to multiple collinear directions, ultrasoft-collinear factorization via field redefinitions
20	SCET Wilson Coefficients	Hard-collinear factorization, quark and gluon building blocks for operators, loops and IR divergences, 0-bin
21	SCET Sudakov Logarithms	LL RGE for Sudakov summation, cusp anomalous dimension, convolutions in RGE, start DIS factorization
22	SCET for DIS	Finish DIS factorization, 1-loop renormalization of PDFs, convolutions in other processes
23	SCET for Dijets	e+e- to dijets, factorize cross section with measurements, jet function, hemisphere soft function, peak/tail/fixed order regions, all orders RGE
24	SCETII	Soft-collinear factorization, SCETI to SCETII matching, power counting theorems, γ*γ -> π0 example
25	SCETII Rapidity RGE	B->Dπ example, rapidity divergences, massive sudakov form factor, rapidity RGE
26	SCET for LHC	Higgs pT distribution, Inclusive Drell-Yan, Threshold Drell-Yan, and Beam Thrust Drell-Yan