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Demonstration of the Equivalence of Soft and Zero-Bin Subtractions · Around

2007

Demonstration of the Equivalence of Soft and Zero-Bin Subtractions

Idilbi, Ahmad, Mehen, Thomas

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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.

Built on

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