5 papers · 1 filter
Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning
Matt von Hippel, Matthias Wilhelm
Integration-by-parts reductions of Feynman integrals pose a frequent bottle-neck in state-of-the-art calculations in theoretical particle and gravitational-wave physics, and rely o…
The Cosmic Galois Group and Extended Steinmann Relations for Planar SYM Amplitudes
Simon Caron-Huot, Lance J. Dixon, Falko Dulat +3
We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar super-Yang-Mills theory through six and sev…
Six-Gluon Amplitudes in Planar Super-Yang-Mills Theory at Six and Seven Loops
Simon Caron-Huot, Lance J. Dixon, Falko Dulat +3
We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six lo…
The Double Pentaladder Integral to All Orders
Simon Caron-Huot, Lance J. Dixon, Matt von Hippel +2
We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. Such integrals appear in six-point amplitudes in planar N=4 super…
Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms
Jacob L. Bourjaily, Yang-Hui He, Andrew J. McLeod +2
We describe a family of finite, four-dimensional, -loop Feynman integrals that involve weight- hyperlogarithms integrated over -dimensional elliptically fibered va…