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arXiv · 1810.04328

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

Long-Bin Chen·Jian Wang
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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.

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Long-Bin Chen, Jian Wang. 2018-10-10. Three-loop planar master integrals for heavy-to-light form factors. https://doi.org/10.1016/j.physletb.2018.10.035

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