High Energy Theory Seminar

Amplitudes, Regulators and the Elliptic Dilogarithm: Physics and Arithmetic of the Sunset Diagram in two Dimensions

General arguments indicate that Feynman integrals can be thought as
period
integrals. In this talk we will focus on the case of the two-loop sunset
graph with internal masses.
We will show that this integral is given by a period of a variation of
a mixed Hodge structure, and can be expressed  as an elliptic
dilogarithm.  We will discuss the relation to the regulator of a class
in the motivic cohomology of the universal elliptic family.

This is based on the work [arXiv:1309.5865] done in collaboration with
Spencer Bloch

Date & Time

October 18, 2013 | 1:30pm – 3:00pm

Location

Bloomberg Lecture Hall

Speakers

Pierre Vanhove

Affiliation

Institut des Hautes Etudes Scientifiques, France

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