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Three loop QCD corrections to heavy quark form factors

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arxiv 1905.03728 v1 pith:VJRWD7HF submitted 2019-05-09 hep-ph hep-thmath-phmath.MP

classification hep-phhep-thmath-phmath.MP
keywords factorsformintegralsorderquarksystemsalgorithmalphabet
verification ladder T0 review T1 audit T2 compute T3 formal
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Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated integrals over an alphabet the structure of which is implied by the coefficient matrix of the given system. We apply this method to calculate the master integrals in the color-planar and complete light quark contributions to the three-loop massive form factors.

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