Feynman Rules for the Rational Part of the Standard Model One-loop Amplitudes in the 't Hooft-Veltman ${\gamma }_5$ Scheme

Abstract

We study Feynman rules for the rational part $R$ of the Standard Model amplitudes at one-loop level in the 't Hooft-Veltman ${\gamma }_5$ scheme. Comparing our results for quantum chromodynamics and electroweak 1-loop amplitudes with that obtained based on the Kreimer-Korner-Schilcher (KKS) ${\gamma }_5$ scheme, we find the latter result can be recovered when our ${\gamma }_5$ scheme becomes identical (by setting $g5s=1$ in our expressions) with the KKS scheme. As an independent check, we also calculate Feynman rules obtained in the KKS scheme, finding our results in complete agreement with formulae presented in the literature. Our results, which are studied in two different ${\gamma }_5$ schemes, may be useful for clarifying the ${\gamma }_5$ problem in dimensional regularization. They are helpful to eliminate or find ambiguities arising from different dimensional regularization schemes.

Version published in JHEP, presentation improved, 41 pages, 10 figures

References in corpus (24)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Assault on the NLO Wishlist: pp -> tt bb
• On the Rational Terms of the one-loop amplitudes
• Precise Predictions for W + 4 Jet Production at the Large Hadron Collider
• Next-to-Leading Order QCD Predictions for W+3-Jet Distributions at Hadron Colliders
• Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order
• NLO QCD corrections to WWbb production at hadron colliders
• Dominant QCD Backgrounds in Higgs Boson Analyses at the LHC: A Study of pp -> t anti-t + 2 jets at Next-To-Leading Order
• W+3 jet production at the Tevatron
• Next-to-leading order QCD predictions for W+W+jj production at the LHC
• Next-to-leading order QCD corrections to W+Z and W-Z production via vector-boson fusion
• Next-to-leading order QCD corrections to Z boson pair production via vector-boson fusion
• Next-to-leading order QCD corrections to W+W- production via vector-boson fusion
• Numerical Evaluation of Six-Photon Amplitudes
• Optimizing the Reduction of One-Loop Amplitudes
• NLO QCD corrections to the production of two bottom-antibottom pairs at the LHC
• Towards pp -> VVjj at NLO QCD: Bosonic contributions to triple vector boson production plus jet
• Precise predictions for W γγ+jet production at hadron colliders
• Feynman rules for the rational part of the Electroweak 1-loop amplitudes in the R_xi gauge and in the Unitary gauge
• Next-to-leading order QCD predictions for $Z^0{H}^0+\mathrm{jet}$ production at LHC
• R2SM: a package for the analytic computation of the R2 Rational terms in the Standard Model of the Electroweak interactions
• NLO QCD calculations with HELAC-NLO
• Formulae for a numerical computation of one-loop tensor integrals
• Dijet Invariant Mass Distribution in Top Quark Hadronic Decay with QCD Corrections

Cited by in corpus (22)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• OpenLoops 2
• A framework for Higgs characterisation
• RECOLA: REcursive Computation of One-Loop Amplitudes
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• Electroweak Radiative Corrections for Collider Physics
• Recursive generation of one-loop amplitudes in the Standard Model
• Weak corrections to Higgs hadroproduction in association with a top-quark pair
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Multi-leg One-loop Massive Amplitudes from Integrand Reduction via Laurent Expansion
• A four-dimensional approach to quantum field theories
• NLO QCD+EW predictions for HV and HV+jet production including parton-shower effects
• Dimension-six electroweak top-loop effects in Higgs production and decay
• NLO QCD Predictions for off-shell $t\bar{t}$ and $t\bar{t}H$ Production and Decay at a Linear Collider
• An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting ${\gamma }_5$
• Primary Feynman rules to calculate the epsilon-dimensional integrand of any 1-loop amplitude
• R2 vertices for the effective ggH theory
• Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSM
• A Procedure g5anchor to Anchor ${\gamma }_5$ in Feynman Diagrams for the Standard Model
• Dijet Invariant Mass Distribution in Top Quark Hadronic Decay with QCD Corrections
• Automated computation of scattering amplitudes
• UFO 2.0 -- The Universal Feynman Output format