46 citations · 53 across the 5 of their papers we have counts for
5 papers
Feynman integrals, geometries and differential equations
Sebastian Pögel, Xing Wang, Stefan Weinzierl
In this talk we discuss the construction of a basis of master integrals for the family of the -loop equal-mass banana integrals, such that the differential equation is in an $\v…
Genus Drop in Hyperelliptic Feynman Integrals
Robin Marzucca, Andrew J. McLeod, Ben Page +2
The maximal cut of the nonplanar crossed box diagram with all massive internal propagators was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space. Surprisi…
Yang-Mills All-Plus: Two Loops for the Price of One
David A. Kosower, Sebastian Pögel
We present work on two-loop amplitudes in pure Yang-Mills theory with all gluons of identical helicity. We show how to obtain their rational terms -- the hardest parts to compute -…
The three-loop equal-mass banana integral in -factorised form with meromorphic modular forms
Sebastian Pögel, Xing Wang, Stefan Weinzierl
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an -factorised form with entries constructed from (meromorphic) m…
A Unitarity Approach to Two-Loop All-Plus Rational Terms
David A. Kosower, Sebastian Pögel
We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using -dimensional unitarity. We use a conjecture of separability of the two loops, and then…