Aachen 2019 – scientific programme

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T: Fachverband Teilchenphysik

T 46: Theorie: QCD

T 46.4: Talk

Tuesday, March 26, 2019, 16:45–17:00, ST 8

Dimensional Recurrence and Analyticity in C++ — •Mario Prausa — Albert-Ludwigs-Universität, Freiburg, Germany

Dimensional Recurrence and Analyticity (DRA) is a powerful tool to calculate single-scale multi-loop Feynman integrals to very high precision. Using Tarasov’s dimensional shifts and integration-by-parts identities it is straightforward to derive Dimensional Recurrence Relations (DRRs) for a set of master Feynman integrals. The DRRs relate Feynman integrals in d space-time dimensions to the same Feynman integrals in d+2 dimensions. In the DRA method these relations are solved using input from the pole structure of the Feynman integrals.

DRA is exceptionally well-suited to be implemented in an object-oriented framework. In this talk I will present an upcoming fully automated C++ implementation and demonstrate its usability with a non-trivial example.