Epsilon factorized differential equations for Feynman integrals in elliptic sectors

by Hjalte Frellesvig (Niels Bohr Institute)

Friday 25 Feb 2022, 11:00 → 12:00 Europe/Berlin

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The introduction of epsilon factorized differential equations for Feynman Integrals in dimensional regularization, gave a massive boost to their computation in polylogaritmic cases. In this presentation I will demonstrate a method to obtain such a form for elliptic Feynman integrals. This method works by choosing an integral basis with the property that the period matrix obtained by integrating the basis over a complete set of integration cycles is diagonal. This method is a generalization of a similar method known to work for polylogarithmic Feynman integrals. I will demonstrate the method explicitly for a number of Feynman integral families with an elliptic highest sector. The presentation will largely be based on the recent preprint arXiv:2110.07968