236 citations · 2.2k across the 40 of their papers we have counts for
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Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
John Golden, Andrew J. McLeod
We review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar supersymmetric Yang-Mills theory. In…
A (Bounded) Bestiary of Feynman Integral Calabi-Yau Geometries
Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel +1
We define the rigidity of a Feynman integral to be the smallest dimension over which it is non-polylogarithmic. We argue that massless Feynman integrals in four dimensions have a r…
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…
Rationalizing Loop Integration
Jacob L. Bourjaily, Andrew J. McLeod, Matt von Hippel +1
We show that direct Feynman-parametric loop integration is possible for a large class of planar multi-loop integrals. Much of this follows from the existence of manifestly dual-con…
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…