70 citations · 322 across the 18 of their papers we have counts for
21 papers
Direct-to-Symbol Integration from Landau Analysis
Craig Larkin, Andrew J. McLeod, Andrzej Pokraka +1
We propose a Landau-analysis-inspired strategy for directly computing the symbol of integrals that evaluate to multiple polylogarithms in twisted cohomology. The central idea is to…
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…
Magic Relations and Critical Varieties of Feynman Integrals
Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1
Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…
Toward the Analytic Bootstrap of Energy Correlators
Jianyu Gong, Andrzej Pokraka, Kai Yan +1
In this paper, we present a framework for the analytic bootstrap of three-point energy correlators, a crucial observable in super Yang-Mills theory and quantum chro…
A double copy from twisted (co)homology at genus g
Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez
We study a family of generalized hypergeometric integrals defined on punctured Riemann surfaces of genus g. These integrals are closely related to g-loop string amplitudes in chira…
Kinematic flow from the flow of cuts
Ross Glew, Andrzej Pokraka
The wavefunction coefficients of conformally coupled scalars in power-law FRW cosmologies satisfy differential equations governed by a set of simple combinatorial rules known as th…
Symbol Alphabets in QCD and Flag Cluster Algebras
Andrzej Pokraka, Marcus Spradlin, Anastasia Volovich +1
The full 245-letter symbol alphabet for all planar massless two-loop six-point Feynman integrals was recently determined in arXiv:2412.19884 and arXiv:2501.01847. In a parallel mat…
Hidden Zeros of the Cosmological Wavefunction
Shounak De, Shruti Paranjape, Andrzej Pokraka +2
Motivated by the recent discovery of hidden zeros in particle and string amplitudes, we characterize zeros of individual graph contributions to the cosmological wavefunction of a s…
A physical basis for cosmological correlators from cuts
Shounak De, Andrzej Pokraka
Significant progress has been made in our understanding of the analytic structure of FRW wavefunction coefficients, facilitated by the development of efficient algorithms to derive…
Surfaceology for Colored Yukawa Theory
Shounak De, Andrzej Pokraka, Marcos Skowronek +2
Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from…
Five-dimensional spinor helicity for all masses and spins
Andrzej Pokraka, Smita Rajan, Lecheng Ren +2
We develop a spinor helicity formalism for five-dimensional scattering amplitudes of any mass and spin configuration. While five-dimensional spinor helicity variables have been pre…
The soaring kite: a tale of two punctured tori
Mathieu Giroux, Andrzej Pokraka, Franziska Porkert +1
We consider the 5-mass kite family of self-energy Feynman integrals and present a systematic approach for constructing an epsilon-form basis, along with its differential equation p…
A double copy from twisted (co)homology at genus one
Rishabh Bhardwaj, Andrzej Pokraka, Lecheng Ren +1
We study the twisted (co)homology of a family of genus-one integrals -- the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes…
Looping the loops: a tale of elliptic dual Feynman integrals
Mathieu Giroux, Andrzej Pokraka, Franziska Porkert +1
In this talk, we review a loop-by-loop approach used to generate differential equations for multi-scale (dual) Feynman integrals. We illustrate the method on a well-established exa…
Two-point sum-rules in three-dimensional Yang-Mills theory
Simon Caron-Huot, Andrzej Pokraka, Zahra Zahraee
We compute the stress-tensor two-point function in three-dimensional Yang-Mills theory to three-loops in perturbation theory. Using its calculable shape at high momenta, we test th…
Cosmology meets cohomology
Shounak De, Andrzej Pokraka
The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the…
Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
Mathieu Giroux, Andrzej Pokraka
We present a loop-by-loop method for computing the differential equations of Feynman integrals using the recently developed dual form formalism. We give explicit prescriptions for…
Duals of Feynman Integrals, 2: Generalized Unitarity
Simon Caron-Huot, Andrzej Pokraka
The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between thes…
Duals of Feynman Integrals, I: Differential Equations
Simon Caron-Huot, Andrzej Pokraka
We elucidate the vector space (twisted relative cohomology) that is Poincaré dual to the vector space of Feynman integrals (twisted cohomology) in general spacetime dimension. The…
Light-ray operators, detectors and gravitational event shapes
Riccardo Gonzo, Andrzej Pokraka
Light-ray operators naturally arise from integrating Einstein equations at null infinity along the light-cone time. We associate light-ray operators to physical detectors on the ce…
From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
Sebastian Mizera, Andrzej Pokraka
We study a surprising phenomenon in which Feynman integrals in space-time dimensions as can be fully characterized by their behavior in the o…