epsilon: A tool to find a canonical basis of master integrals

Abstract

In 2013, Henn proposed a special basis for a certain class of master integrals, which are expressible in terms of iterated integrals. In this basis, the master integrals obey a differential equation, where the right hand side is proportional to $\epsilon$ in $d=4-2\epsilon$ space-time dimensions. An algorithmic approach to find such a basis was found by Lee. We present the tool epsilon, an efficient implementation of Lee's algorithm based on the Fermat computer algebra system as computational backend.

34 pages; changed reference to fuchsia

References in corpus (3)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Reducing differential equations for multiloop master integrals
• Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form

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