Soft-Collinear Factorization and Zero-Bin Subtractions

Details Soft-Collinear Factorization and Zero-Bin Subtractions Soft-Collinear Factorization and Zero-Bin Subtractions

2009-01-09

arxiv.org/abs/0901.1332v2

Phys.Rev.D79:053007,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 5 figures. V2:ref added

Scientific paper

10.1103/PhysRevD.79.053007

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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