English

Three-loop planar master integrals for heavy-to-light form factors

High Energy Physics - Phenomenology 2018-10-24 v1

Abstract

We calculate analytically the three-loop planar master integrals relevant for heavy-to-light form factors using the method of differential equations. After choosing a proper canonical basis, the boundary conditions are easy to be determined, and the solution of differential equations is greatly simplified. The results for seventy-one master integrals at general kinematics are all expressed in terms of harmonic polylogarithms.

Keywords

Cite

@article{arxiv.1810.04328,
  title  = {Three-loop planar master integrals for heavy-to-light form factors},
  author = {Long-Bin Chen and Jian Wang},
  journal= {arXiv preprint arXiv:1810.04328},
  year   = {2018}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-23T04:34:19.500Z