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Sep 27 – 30, 2016
DESY Hamburg
Europe/Berlin timezone

High-energy scattering in N=4 super Yang-Mills and single-valued polylogs

Sep 29, 2016, 2:50 PM
Seminar room 1 (DESY Hamburg)

Seminar room 1

DESY Hamburg

Notkestrasse 85, 22607 Hamburg
String & Mathematical Physics Parallel Session: Strings & Mathematical Physics


Martin Sprenger (ETH Zürich)


In this talk, I will describe the connection between the high-energy limit of the six-gluon scattering amplitude in N=4 super Yang-Mills theory and a certain class of single-valued polylogarithmic functions. While the evaluation of the six-gluon amplitude to high loop orders in general kinematics is a very difficult problem, the amplitude in the multi-Regge regime is governed by a dispersion-like integral which is fully known even at finite coupling. However, this dispersion-like integral is formulated in Fourier-Mellin space. Obtaining expressions in momentum space thus requires carrying out said integral which is tedious beyond the lowest loop orders. I will show how an understanding of the mathematical structure of the single-valued polylogs to which the integral evaluates gives rise to an efficient and algorithmic evaluation of the amplitude and briefly mention extensions to higher-point amplitudes.

Primary author

Martin Sprenger (ETH Zürich)

Presentation materials