Abstract
We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general q 2 are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold q 2 = 4m 2 are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.
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Henn, J.M., Smirnov, A.V. & Smirnov, V.A. Analytic results for planar three-loop integrals for massive form factors. J. High Energ. Phys. 2016, 144 (2016). https://doi.org/10.1007/JHEP12(2016)144
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DOI: https://doi.org/10.1007/JHEP12(2016)144