SCET, QCD and Wilson Lines

Abstract

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.

19 pages, 15 figures

References in corpus (6)

• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Jet Shapes and Jet Algorithms in SCET
• Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
• SCET, Light-Cone Gauge and the T-Wilson Lines
• Phase Space and Jet Definitions in SCET
• On different ways to quantize Soft-Collinear Effective Theory

Cited by in corpus (11)

• Hard-Soft-Collinear Factorization to All Orders
• Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory
• An Explanation of the WW Excess at the LHC by Jet-Veto Resummation
• An on-shell approach to factorization
• Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
• Renormalization of Dijet Operators at Order $1/Q^2$ in Soft-Collinear Effective Theory
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Power Counting and Modes in SCET
• Soft collinear effective theory for gravity
• Removing phase-space restrictions in factorized cross sections
• The Evolution of Soft Collinear Effective Theory