Landau Singularities from Whitney Stratifications

Particle Physics Theory seminar

Landau Singularities from Whitney Stratifications

Event details

Title: 

Landau Singularities from Whitney Stratifications

Abstract: 

At the heart of both cross-section calculations at the Large Hadron Collider and gravitational wave physics lie the evaluation of Feynman integrals. These integrals are multivalued meromorphic functions of the kinematic variables they depend on, and understanding their analytic structure has been an ongoing quest for theoretical physicists for over 60 years. In this talk I will demonstrate how the complete set of singularities of these integrals may be explicitly obtained from the Whitney stratification of an algebraic map and provide a software implementation. This stratification contains a lot of information and does not only describe the singularities of a given integral but also those of integrals obtained from kinematic limits.

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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