Analytic results for planar three-loop integrals for massive form factors

DOI10.1007/JHEP12(2016)144zbMATH Open1390.81179arXiv1611.06523OpenAlexW2553221949MaRDI QIDQ1636713

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Publication date: 12 June 2018

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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.

Full work available at URL: https://arxiv.org/abs/1611.06523

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