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arXiv · 0901.1332

Soft-Collinear Factorization and Zero-Bin Subtractions

Jui-yu Chiu·Andreas Fuhrer·Andre H. Hoang·Randall Kelley·Aneesh V. Manohar
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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.

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Jui-yu Chiu, Andreas Fuhrer, Andre H. Hoang, Randall Kelley, Aneesh V. Manohar. 2009-01-21. Soft-Collinear Factorization and Zero-Bin Subtractions. https://doi.org/10.1103/physrevd.79.053007

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