English

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

High Energy Physics - Phenomenology 2018-04-04 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1801.01033,
  title  = {Two-Loop master integrals for heavy-to-light form factors of two different massive fermions},
  author = {Long-Bin Chen},
  journal= {arXiv preprint arXiv:1801.01033},
  year   = {2018}
}

Comments

20 pages,1 figures. Typos are corrected, to appear in JHEP