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

Published: 15 June 2017| Version 1 | DOI: 10.17632/j59sy5n729.1


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 ϵ in d=4−2ϵ 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 back end.



Computational Physics, Differential Equation