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arxiv: 1107.5823 · v1 · pith:UYFIMSCJnew · submitted 2011-07-28 · ✦ hep-ph

SCET, QCD and Wilson Lines

classification ✦ hep-ph
keywords effectivescetcollinearlagrangiantheorydecouplingfieldsinteractions
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Soft Collinear Effective Theory (SCET) is an effective field theory which describes the interactions of low invariant mass jets which are highly boosted with respect to one another. In the standard formulation of SCET, the effective Lagrangian for collinear fields is expanded in inverse powers of the energy. At leading order this leads to manifest decoupling of soft and collinear degrees of freedom; however, subleading terms in the effective Lagrangian violate this manifest decoupling. In this paper we point out that the collinear expansion in the SCET Lagrangian is unnecessary, and that the SCET Lagrangian may instead be written as multiple decoupled copies of QCD. The interactions between the sectors in full QCD are reproduced in the effective theory by an external current consisting of QCD fields coupled to Wilson lines. We illustrate this picture with two examples: dijet production and B->X_s + gamma.

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Cited by 1 Pith paper

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  1. Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory

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    SCET factorization and one-loop matching for polarized DIS g1(x), g2(x) as x approaches 1, including anomalous dimensions and twist-three operator relations.