activity
19972025
most citedAlgorithm FIRE -- Feynman Integral REduction

472 citations · 4.1k across the 68 of their papers we have counts for

collaborators

69 papers

hep-th2025

Two decades of algorithmic Feynman integral reduction

Alexander Smirnov, Vladimir Smirnov

We present a historiographical review of algorithms and computer codes developed for solving integration-by-parts relations for Feynman integrals. This procedure is one of the key…

hep-ph2023

Master Integrals for Four-Loop Massless Form Factors

Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3

We present analytical results for all master integrals for massless three-point functions, with one off-shell leg, at four loops. Our solutions were obtained using differential equ…

hep-th2023★ 2 cited

Conservative binary dynamics at order in electrodynamics

Zvi Bern, Enrico Herrmann, Radu Roiban +4

We compute the potential-photon contributions to the classical relativistic scattering angle of two charged non-spinning bodies in electrodynamics through fifth order in the coupli…

hep-ph2022★ 1 cited

The vertex at four loops and hard matching coefficients in SCET for various currents

Amlan Chakraborty, Tobias Huber, Roman N. Lee +5

We compute the four-loop corrections to the Higgs-bottom vertex within massless QCD and present analytic results for all color structures. The infrared poles of the renormalized fo…

hep-ph2022★ 52 cited

Quark and gluon form factors in four-loop QCD

Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3

We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks…

hep-ph2022★ 1 cited

Two-loop non-planar hexa-box integrals with one massive leg

Adam Kardos, Costas G. Papadopoulos, Alexander V. Smirnov +2

Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain…