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Introduction to Soft-Collinear Effective Theory

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arxiv 1410.1892 v3 pith:ARWPH6ES submitted 2014-10-07 hep-ph

Introduction to Soft-Collinear Effective Theory

classification hep-ph
keywords theoryeffectivefactorformintroductionresummationsoft-collinearthen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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These lectures provide an introduction to Soft-Collinear Effective Theory. After discussing the expansion of Feynman diagrams around the high-energy limit, the effective Lagrangian is constructed, first for a scalar theory, then for QCD. The underlying concepts are illustrated with the Sudakov form factor, i.e. the quark vector form factor at large momentum transfer. We then apply the formalism in two examples: We perform soft gluon resummation as well as transverse-momentum resummation for the Drell-Yan process using renormalization group evolution in SCET, and we derive the infrared structure of n-point gauge theory amplitudes by relating them to effective theory operators. We conclude with an overview of the different applications of the effective theory.

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