Journal of High Energy Physics

, 2018:66 | Cite as

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

Open Access
Regular Article - Theoretical Physics


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.


Perturbative QCD Precision QED 


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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Supplementary material

13130_2018_7597_MOESM1_ESM.m (58 kb)
ESM 1 (M 58 kb)
13130_2018_7597_MOESM2_ESM.m (1001 kb)
ESM 2 (M 1001 kb)


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.School of Physics & Electronic EngineeringGuangzhou UniversityGuangzhouChina

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