236 citations · 2.2k across the 40 of their papers we have counts for
40 papers
A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology
Andrew J. McLeod, Andrzej Pokraka, Lecheng Ren
We construct a graphical coaction for Friedmann-Robertson-Walker (FRW) integrals at all loop orders in conformally-coupled scalar theories with non-conformal polynomial interaction…
A Graphical Coaction for FRW Wavefunction Coefficients
Andrew McLeod, Andrzej Pokraka, Lecheng Ren
We show that the wavefunction of the universe in theories of conformally coupled scalars in power-law Friedmann-Robertson-Walker (FRW) cosmologies satisfies a graphical coaction, b…
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…
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…
Antipodal Self-Duality for a Four-Particle Form Factor
Lance J. Dixon, Ömer Gürdoğan, Yu-Ting Liu +2
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar super-Yang-Mil…
Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces
Holmfridur S. Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz +1
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints follow from a geometric formulation…
Solving Scattering in N=4 Super-Yang-Mills Theory
Nima Arkani-Hamed, Lance J. Dixon, Andrew J. McLeod +3
As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particu…
Bootstrapping a Stress-Tensor Form Factor through Eight Loops
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod +1
We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar supersymmetric Yang-Mills theory at six, seven, and eight loops, using boun…
Functions Beyond Multiple Polylogarithms for Precision Collider Physics
Jacob L. Bourjaily, Johannes Broedel, Ekta Chaubey +14
Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. Yet, while the simplest Feynman diagrams can be evaluated in…
Folding Amplitudes into Form Factors: An Antipodal Duality
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod +1
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar super-Yang-Mills theory is dual to the six-gluon MHV amplitu…
Implications of the Landau Equations for Iterated Integrals
Holmfridur S. Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz +1
We introduce a method for deriving constraints on the symbol of Feynman integrals from the form of their asymptotic expansions in the neighborhood of Landau loci. In particular, we…
The Two-Loop Remainder Function for Eight and Nine Particles
John Golden, Andrew J. McLeod
Two-loop MHV amplitudes in planar supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure. We leverage this struct…
Direct Integration for Multi-leg Amplitudes: Tips, Tricks, and When They Fail
Jacob L. Bourjaily, Yang-Hui He, Andrew J. McLeod +5
Direct hyperlogarithmic integration offers a strong alternative to differential equation methods for Feynman integration, particularly for multi-particle diagrams. We review a vari…
A Three-Point Form Factor Through Five Loops
Lance J. Dixon, Andrew J. McLeod, Matthias Wilhelm
We bootstrap the three-point form factor of the chiral part of the stress-tensor supermultiplet in planar super-Yang-Mills theory, obtaining new results at three, f…
Steinmann Relations and the Wavefunction of the Universe
Paolo Benincasa, Andrew J. McLeod, Cristian Vergu
The physical principles of causality and unitarity put strong constraints on the analytic structure of the flat-space S-matrix. In particular, these principles give rise to the Ste…
Sequential Discontinuities of Feynman Integrals and the Monodromy Group
Jacob L. Bourjaily, Holmfridur Hannesdottir, Andrew J. McLeod +2
We generalize the relation between discontinuities of scattering amplitudes and cut diagrams to cover sequential discontinuities (discontinuities of discontinuities) in arbitrary m…
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Simon Caron-Huot, Lance J. Dixon, James M. Drummond +6
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar super Yang-Mills theory, by exploiting their analytic structure. We foc…
A Novel Algorithm for Nested Summation and Hypergeometric Expansions
Andrew J. McLeod, Henrik Munch, Georgios Papathanasiou +1
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Such sums appear, for instance, in the expansion of Gauss hypergeometric functions…
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 (…
All-Mass -gon Integrals in Dimensions
Jacob L. Bourjaily, Einan Gardi, Andrew J. McLeod +1
We explore the correspondence between one-loop Feynman integrals and (hyperbolic) simplicial geometry to describe the "all-mass" case: integrals with generic external and internal…
All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer +2
We give a closed-form, prescriptive representation of all-multiplicity two-loop MHV amplitude integrands in fully-color-dressed (non-planar) maximally supersymmetric Yang-Mills the…
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…