Equivalence of soft and zero-bin subtractions at two loops

Journal Article (Journal Article)

Calculations of collinear correlation functions in perturbative QCD and soft-collinear effective theory require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from soft modes. At leading order in λ, where λ is the soft-collinear effective theory expansion parameter, the zero-bin subtractions have been argued to be equivalent to convolution with soft Wilson lines. We give a proof of the factorization of naive collinear Wilson lines that is crucial for the derivation of the equivalence. We then check the equivalence by computing the non-Abelian two-loop mixed collinear-soft contribution to the jet function in the quark form factor. These results demonstrate the equivalence, which can be used to give a nonperturbative definition of the zero-bin subtraction at lowest order in λ. © 2007 The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Idilbi, A; Mehen, T

Published Date

  • November 13, 2007

Published In

Volume / Issue

  • 76 / 9

Electronic International Standard Serial Number (EISSN)

  • 1550-2368

International Standard Serial Number (ISSN)

  • 1550-7998

Digital Object Identifier (DOI)

  • 10.1103/PhysRevD.76.094015

Citation Source

  • Scopus