11–15 Dec 2023
CERN
Europe/Zurich timezone

Symbol Alphabets from the Landau Singular Locus

12 Dec 2023, 10:45
30m
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

110
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Speaker

Christoph Dlapa (DESY Hamburg)

Description

I present work which provides evidence through two loops that rational letters of polylogarithmic Feynman integrals are captured by the Landau equations, when the latter are recast as a polynomial of the kinematic variables of the integral, known as the principal A-determinant. Focusing on one loop, I further discuss how all square-root letters may also be obtained, by re-factorizing the principal A-determinant with the help of Jacobi identities. The letters are verified by explicitly constructing canonical differential equations
for the one-loop integrals in both odd and even dimensions of loop momenta.

Primary author

Christoph Dlapa (DESY Hamburg)

Presentation materials