Münster 2017 – scientific programme

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T: Fachverband Teilchenphysik

T 17: Quantenfeldtheorie (perturbativ)

T 17.3: Talk

Monday, March 27, 2017, 17:15–17:30, VSH 11

Finding canonical bases of master integrals with epsilon — •Mario Prausa — RWTH Aachen, Aachen, Germany

The calculation of master integrals is a crucial point in any multiloop calculation. In 2013, Henn proposed a special basis for a certain class of master integrals, which are expressible in terms of iterated integrals (e.g. generalized polylogarithms). In this basis the master integrals obey a differential equation, where the right hand side is proportional to є in d=4−2є space-time dimensions. An algorithmic approach to find such a basis was found by Lee. We present an efficient implementation of Lee’s algorithm based on the Fermat computer algebra system as computational backend.