From motives to differential equations for loop integrals

6533b7d1fe1ef96bd125d918

RESEARCH PRODUCT

From motives to differential equations for loop integrals

Raphael Zayadeh Stefan Weinzierl Stefan Müller-stach

subject

High Energy Physics - Theory For loop High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Differential equation Mathematical analysis FOS: Physical sciences Mathematics

description

In this talk we discuss how ideas from the theory of mixed Hodge structures can be used to find differential equations for Feynman integrals. In particular we discuss the two-loop sunrise graph in two dimensions and show that these methods lead to a differential equation which is simpler than the ones obtained from integration-by-parts.

year	journal	country	edition	language
2013-02-22

https://dx.doi.org/10.48550/arxiv.1209.3714

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