Analytic regularization in Soft-Collinear Effective Theory

被引：117

作者：

Becher, Thomas ^{[1
]}

Bell, Guido ^{[1
]}

机构：

[1] Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, CH-3012 Bern, Switzerland

来源：

PHYSICS LETTERS B | 2012年 / 713卷 / 01期

基金：

瑞士国家科学基金会;

关键词：

LIGHT FORM-FACTORS; NNLO CALCULATION; PHOTON ENERGY; 2-LOOP RESULT; FACTORIZATION; CUT;

D O I：

10.1016/j.physletb.2012.05.016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this problem is to introduce additional analytic regulators. We point out that in massless theories the unregularized singularities only appear in real-emission diagrams and that the additional regulators can be introduced in such a way that gauge invariance and the factorized eikonal structure of soft and collinear emissions is maintained. This simplifies factorization proofs and implies, at least in the massless case, that the structure of Soft-Collinear Effective Theory remains completely unchanged by the presence of the additional regulators. Our formalism also provides a simple operator definition of transverse parton distribution functions. (C) 2012 Published by Elsevier B.V.

引用

页码：41 / 46

页数：6

共 27 条

[1] Soft-collinear factorization in effective field theory [J].

Bauer, CW ;

Pirjol, D ;

Stewart, FW .

PHYSICAL REVIEW D, 2002, 65 (05) :17

[2]

Bauer CW, 2001, PHYS REV D, V63, DOI 10.1103/PhysRevD.63.114020

[3] Toward a NNLO calculation of the (B)over-bar → Xsγ decay rate with a cut on photon energy:: I.: Two-loop result for the soft function [J].

Becher, T ;

Neubert, M .

PHYSICS LETTERS B, 2006, 633 (06) :739-747

[4] Toward a NNLO calculation of the (B)over-bar → Xsγ decay rate with a cut on photon energy:: II.: Two-loop result for the jet function [J].

Becher, Thomas ;

Neubert, Matthias .

PHYSICS LETTERS B, 2006, 637 (4-5) :251-259

[5] Factorization and resummation for jet broadening [J].

Becher, Thomas ;

Bell, Guido ;

Neubert, Matthias .

PHYSICS LETTERS B, 2011, 704 (04) :276-283

[6] Drell-Yan production at small qT, transverse parton distributions and the collinear anomaly [J].

Becher, Thomas ;

Neubert, Matthias .

EUROPEAN PHYSICAL JOURNAL C, 2011, 71 (06)

[7] The gluon jet function at two-loop order [J].

Becher, Thomas ;

Bell, Guido .

PHYSICS LETTERS B, 2011, 695 (1-4) :252-258

[8] Two-loop renormalization of Wilson loop for Drell-Yan production [J].

Belitsky, AV .

PHYSICS LETTERS B, 1998, 442 (1-4) :307-314

[9] Heavy-to-light form factors for non-relativistic bound states [J].

Bell, G. ;

Feldmann, Th. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2007, 164 :189-192

[10] Factorization of heavy-to-light form factors in soft-collinear effective theory [J].

Beneke, M ;

Feldmann, T .

NUCLEAR PHYSICS B, 2004, 685 :249-296

← 1 2 3 →