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, SCET_{I} & SCET_{II}, 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 | SCET_{II} | Soft-collinear factorization, SCET_{I} to SCET_{II} matching, power counting theorems, γ*γ -> π^{0} example |
25 | SCET_{II} 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 |
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