236 citations · 910 across the 14 of their papers we have counts for
15 papers · 1 filter
Traintracks All the Way Down
Andrew J. McLeod, Matt von Hippel
We study the class of planar Feynman integrals that can be constructed by sequentially intersecting traintrack diagrams without forming a closed traintrack loop. After describing h…
An Infinite Family of Elliptic Ladder Integrals
Andrew McLeod, Roger Morales, Matt von Hippel +2
We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show that they can be expressed in terms of the same class of elliptic multiple…
A Symbol and Coaction for Higher-Loop Sunrise Integrals
Andreas Forum, Matt von Hippel
We construct a symbol and coaction for -loop sunrise integrals, both for the equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coact…
Landau Singularities and Higher-Order Roots
Jacob L. Bourjaily, Cristian Vergu, Matt von Hippel
Landau's work on the singularities of Feynman diagrams suggests that they can only be of three types: either poles, logarithmic divergences, or the roots of quadratic polynomials.…
NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
Michèle Levi, Andrew J. McLeod, Matthew von Hippel
We compute the NLO gravitational quadratic-in-spin interactions at in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objec…
NLO gravitational spin-orbit coupling at order
Michèle Levi, Andrew J. McLeod, Matthew von Hippel
In this paper we derive for the first time the NLO gravitational spin-orbit coupling at order in the post-Newtonian (PN) approximation within the effective field theory (…
Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory
Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu +3
It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twi…
Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu +3
It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yaus of arbitrarily large dimensi…
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…
The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms
Jacob L. Bourjaily, Andrew J. McLeod, Marcus Spradlin +2
We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first deriv…
Multi-Loop Positivity of the Planar SYM Six-Point Amplitude
Lance J. Dixon, Matt von Hippel, Andrew J. McLeod +1
We study the six-point NMHV ratio function in planar SYM theory in the context of positive geometry. The Amplituhedron construction of the integrand for the amplitudes…
Resumming the POPE at One Loop
Ho Tat Lam, Matt von Hippel
The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar super Yang-Mills in terms of a series of flux tube excitations for finite coupli…
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
Simon Caron-Huot, Lance J. Dixon, Andrew McLeod +1
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these…
The four-loop six-gluon NMHV ratio function
Lance J. Dixon, Matt von Hippel, Andrew J. McLeod
We use the hexagon function bootstrap to compute the ratio function which characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in planar $\mathcal{N} =…
Bootstrapping an NMHV amplitude through three loops
Lance J. Dixon, Matt von Hippel
We extend the hexagon function bootstrap to the next-to-maximally-helicity-violating (NMHV) configuration for six-point scattering in planar super-Yang-Mills theory at…