Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories

Abstract

In this thesis we present an introduction to Soft-Collinear Effective Theory, which can be used to prove (or disprove) factorization theorems to all orders in the strong coupling constant for some B decays into light and energetic particles. Specifically, the factorizable amplitudes for inclusive B->X_u l nu and exclusive B->gamma l nu are calculated in renormalization-group improved perturbation theory to first non-trivial order. Form factors encoding the exclusive decay amplitudes for B->P l nu and B->V l nu (P=light pseudoscalar meson, V=light vector meson) are studied and proved to be dominated by the non-factorizable Feynman mechanism.

Ph.D. Thesis; 201 pages, 29 Figures, uses cornell.cls and hanging.sty (included)

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Cited by in corpus (2)

• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist