Soft-collinear factorization and zero-bin subtractions
Abstract
We study the Sudakov form factor for a spontaneously broken gauge theory using a (new) Δ-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/γ 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.
- Publication:
-
Physical Review D
- Pub Date:
- March 2009
- DOI:
- 10.1103/PhysRevD.79.053007
- arXiv:
- arXiv:0901.1332
- Bibcode:
- 2009PhRvD..79e3007C
- Keywords:
-
- 12.15.Lk;
- 12.38.Bx;
- 12.38.Cy;
- 12.39.St;
- Electroweak radiative corrections;
- Perturbative calculations;
- Summation of perturbation theory;
- Factorization;
- High Energy Physics - Phenomenology
- E-Print:
- 9 pages, 5 figures. V2:ref added