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HEP-TH Wednesday Seminars

Stefan Weinzierl (U. Mainz) - New algorithms for Feynman integral reduction and epsilon-factorised differential equations

by Stefan Weinzierl (U. Mainz)

Europe/Stockholm
92110 (Ångströmlaboratoriet)

92110

Ångströmlaboratoriet

Description

Precision calculations in quantum field theory rely very often on perturbation theory and thus on the computation of Feynman integrals. Two of the basic algorithms are integration-by-parts and the method of differential equations. In this talk I show how the efficiency of these algorithms can be improved by taking geometric information of the Feynman integrals into account. The method does not require any prior knowledge of the geometry and merely amounts to counting poles and residues.