Calabi-Yau geometry of the N-loop sunset Feynman integrals

Particle Physics Theory seminar

Calabi-Yau geometry of the N-loop sunset Feynman integrals

  • Event time: 2:00pm
  • Event date: 25th September 2019
  • Speaker: (IPhT Saclay)
  • Location: Higgs Centre Seminar Room, Room 4305,

Event details

In this talk we will discuss the algebraic and transcendental features of the computation of multiloop sunset Feynman integrals.
We will explain how the “creative telescoping” algorithm allows to derive efficiently the inhomogeneous differential equations satisfied by any Feynman integrals. 
In the case of the sunset integral we will show how the results can be understood by understanding the geometry and the moduli of the Calabi-Yau varieties of the sunset graph. In particular how the specialization of physical parameters leads to rank jump in the differential equation.
We will describe the appearance of a motivic elliptic curve in two loop graphs and how this allows to easily derive as differential equation system  efficiently.
This is based on work done in collaboration with Charles Doran and Andrey Novoseltsev

About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..

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