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

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2018-02, Vol.2018 (2), p.1-20, Article 66
Main Author: Chen, Long-Bin
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Differential equations
Elementary Particles
Fermions
Form factors
High energy physics
Integrals
Momentum transfer
Perturbative QCD
Physics
Physics and Astronomy
Precision QED
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Superconductors
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2018)066