Internal Reduction method for computing Feynman Integrals

Abstract

A new approach to compute Feynman Integrals is presented. It relies on an integral representation of a given Feynman Integral in terms of simpler ones. Using this approach, we present, for the first time, results for a certain family of non-planar five-point two-loop Master Integrals with one external off-shell particle, relevant for instance for $H+2$ jets production at the LHC, in both Euclidean and physical kinematical regions.

arXiv comment18 pages, 4 figures, 1 table

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• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• Reducing full one-loop amplitudes to scalar integrals at the integrand level
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Cited by in corpus (16)

• Collider Physics at the Precision Frontier
• Pentagon Functions for Scattering of Five Massless Particles
• Two-Loop Integrals for Planar Five-Point One-Mass Processes
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• Two-loop leading-color helicity amplitudes for three-photon production at the LHC
• Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Computational challenges for multi-loop collider phenomenology
• Resummation methods for Master Integrals
• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
• Two-loop non-planar hexa-box integrals with one massive leg
• Recent progress for five-particle two-loop scattering amplitudes with an off-shell leg