433 citations · 3.2k across the 66 of their papers we have counts for
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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…
Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
Jacob L. Bourjaily, Matthias Volk, Matt von Hippel
We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The…
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…
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…
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer +2
We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering ampli…