Soft-Collinear Factorization and Zero-Bin Subtractions
Abstract
We study the Sudakov form factor for a spontaneously broken gauge theory using a (new) Delta -regulator. To be well-defined, the effective theory requires zero-bin subtractions for the collinear sectors. The zero-bin subtractions depend on the gauge boson mass M and are not scaleless. They have both finite and 1/epsilon contributions, and are needed to give the correct anomalous dimension and low-scale matching contributions. We also demonstrate the necessity of zero-bin subtractions for soft-collinear factorization. We find that after zero-bin subtractions the form factor is the sum of the collinear contributions 'minus' a soft mass-mode contribution, in agreement with a previous result of Idilbi and Mehen in QCD. This appears to conflict with the method-of-regions approach, where one gets the sum of contributions from different regions.
Cite
@article{arxiv.0901.1332,
title = {Soft-Collinear Factorization and Zero-Bin Subtractions},
author = {Jui-yu Chiu and Andreas Fuhrer and Andre H. Hoang and Randall Kelley and Aneesh V. Manohar},
journal= {arXiv preprint arXiv:0901.1332},
year = {2010}
}
Comments
9 pages, 5 figures. V2:ref added