Two-loop master integrals for heavy-to-light form factors of two different massive fermions

被引：9

作者：

Chen, Long-Bin ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Phys & Elect Engn, 230 GuangZhou Univ City Outer Ring Rd, Guangzhou 510006, Guangdong, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 02期

基金：

中国国家自然科学基金;

关键词：

Perturbative QCD; Precision QED; NUMERICAL EVALUATION; QCD CORRECTIONS; QUARK DECAYS; EQUATIONS; IMPLEMENTATION; DIAGRAMS;

D O I：

10.1007/JHEP02(2018)066

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the full set of the two-loop master integrals for heavy-to-light form factors of two different massive fermions for arbitrary momentum transfer in NNLO QCD or QED corrections. These integrals allow to determine the two-loop QCD or QED corrections to the amplitudes for heavy-to-light form factors of two massive fermions in a full analytical way, without any approximations. The analytical results of the master integrals are derived using the method of differential equations, along with a proper choosing of canonical basis for the master integrals. All the results of master integrals are expressed in terms of Goncharov polylogarithms.

引用

页数：20

共 50 条

[21] Evaluating massive planar two-loop tensor vertex integrals
Groote, S.
Knodel, M. M.
EUROPEAN PHYSICAL JOURNAL C, 2006, 46 (01): : 157 - 178
[22] Loop corrections to heavy-to-light form factors and evanescent operators in SCET
Becher, T
Hill, RJ
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (10):
[23] Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
Anastasiou, Charalampos
Beerli, Stefan
Bucherer, Stefan
Daleo, Alejandro
Kunszt, Zoltan
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01):
[24] Heavy-to-light form factors on the light cone
Lu, Cai-Dian
Wang, Wei
Wei, Zheng-Tao
PHYSICAL REVIEW D, 2007, 76 (01):
[25] Analytic two-loop master integrals for tW production at hadron colliders: Ⅰ
陈龙斌
王健
Chinese Physics C, 2021, 45 (12) : 57 - 65
[26] Master integrals for two-loop QCD corrections to quark quasi PDFs
Long-Bin Chen
Wei Wang
Ruilin Zhu
Journal of High Energy Physics, 2020
[27] Analytic two-loop master integrals for tW production at hadron colliders: Ⅰ
陈龙斌
王健
Chinese Physics C, 2021, (12) : 57 - 65
[28] The tensor reduction and master integrals of the two-loop massless crossed box
Oleari, C
ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH, 2001, 583 : 196 - 198
[29] Analytic results for two-loop planar master integrals for Bhabha scattering
Duhr, Claude
Smirnov, Vladimir A.
Tancredi, Lorenzo
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (09)
[30] Analytic results for two-loop master integrals for Bhabha scattering I
Henn J.M.
Smirnov V.A.
Journal of High Energy Physics, 2013 (11)

← 1 2 3 4 5 →