Machine learning discovers a tube-seeding strategy for IBP reduction of Feynman integrals that scales linearly with numerator power, demonstrated on rank-20 2-loop 5-point integrals.
Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.
citation-role summary
background 1
baseline 1
citation-polarity summary
verdicts
UNVERDICTED 5representative citing papers
On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.
Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.
First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
The paper decomposes two-loop Yang-Mills gluon amplitudes into color structures via trace and structure-constant bases and organizes relations between the resulting partial amplitudes.
citing papers explorer
-
Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding
Machine learning discovers a tube-seeding strategy for IBP reduction of Feynman integrals that scales linearly with numerator power, demonstrated on rank-20 2-loop 5-point integrals.
-
Quantum anomalies from three-point on-shell bootstrap
On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.
-
Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.
-
A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons
First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
-
Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory
The paper decomposes two-loop Yang-Mills gluon amplitudes into color structures via trace and structure-constant bases and organizes relations between the resulting partial amplitudes.