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Title Equivalence of Soft and Zero-Bin Subtractions
Authors ahmad idilbi,Thomas Mehen
JLAB number JLAB-THY-07-676
LANL number arXiv:0707.1101
Other number DOE/OR/23177-0084
Document Type(s) (Journal Article) 
Supported by U.S. Naval Research: No
Supported by Jefferson Lab LDRD Funding: No

Compiled for Physical Review D
Volume 76
Page(s) 094015
Publication Abstract: Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) 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 $\lambda$, where $\lambda$ is the SCET 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 provide strong support for the equivalence, which can be used to give a nonperturbative definition of the zero-bin subtraction at lowest order in $\lambda$.
Experiment Numbers: other
Document: pdf
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