Heavy-to-light form factors to three loops

被引：1

作者：

Fael, Matteo ^{[1
]}

Huber, Tobias ^{[2
]}

Lange, Fabian ^{[3
,4
]}

Mueller, Jakob ^{[2
]}

Schoenwald, Kay ^{[3
]}

Steinhauser, Matthias ^{[5
]}

机构：

[1] CERN, Theoret Phys Dept, CH-1211 Geneva, Switzerland

[2] Univ Siegen, Ctr Particle Phys Siegen CPPS, Theoret Phys 1, Walter Flex Str 3, D-57068 Siegen, Germany

[3] Univ Zurich, Phys Inst, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[4] Paul Scherrer Inst, CH-5232 Villigen, Switzerland

[5] Karlsruhe Inst Technol KIT, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

来源：

PHYSICAL REVIEW D | 2024年 / 110卷 / 05期

基金：

欧洲研究理事会; 瑞士国家科学基金会;

关键词：

2-LOOP QCD CORRECTIONS; DIFFERENTIAL-EQUATIONS METHOD; COLLINEAR EFFECTIVE THEORY; MINIMAL SUBTRACTION; SPLITTING FUNCTIONS; INFRARED FACTORIZATION; MELLIN TRANSFORMS; NNLO CALCULATION; 3-LOOP RELATION; GAUGE-THEORIES;

D O I：

10.1103/PhysRevD.110.056011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute three-loop corrections of O(alpha 3s) to form factors with one massive and one massless quark coupling to an external vector, axialvector, scalar, pseudoscalar, or tensor current. We obtain analytic results for the color-planar contributions, for the contributions of light-quark loops, and the contributions with two heavy-quark loops. For the computation of the remaining master integrals we use the "expand and match" approach which leads to semianalytic results for the form factors. We implement our results in a Mathematica and a Fortran code which allows for fast and precise numerical evaluations in the physically relevant phase space. The form factors are used to compute the hard matching coefficients in Soft-Collinear Effective Theory for all currents. The tensor coefficients at lightlike momentum transfer are used to extract the hard function in B<overline> -* Xs gamma to three loops.

引用

页数：28

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