Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion

Abstract

We compute the radiative corrections to the four-point amplitude $g+g\to A+A$ in massless Quantum Chromodynamics (QCD) up to order $a_s^4$ in perturbation theory. We used the effective field theory that describes the coupling of pseudo-scalars to gluons and quarks directly, in the large top quark mass limit. Due to the CP odd nature of the pseudo-scalar Higgs boson, the computation involves careful treatment of chiral quantities in dimensional regularisation. The ultraviolet finite results are shown to be consistent with the universal infrared structure of QCD amplitudes. The infrared finite part of these amplitudes constitutes the important component of any next to next to leading order corrections to observables involving pair of pseudo-scalars at the Large Hadron Collider.

arXiv comment18 pages, references updated, 2 figures added, 1-loop ancillary files included, 2-loop ancillary files are oversized for arXiv, available on request

References in corpus (47)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Differential Equations for Two-Loop Four-Point Functions
• New features of FORM
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• The renormalization of the axial anomaly in dimensional regularization
• Algorithm FIRE -- Feynman Integral REduction
• Infrared singularities of scattering amplitudes in perturbative QCD
• Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections
• Reduze - Feynman Integral Reduction in C++
• Multi-loop Amplitudes and Resummation
• Pair Production of Neutral Higgs Particles in Gluon--Gluon Collisions
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Calculation of the quark and gluon form factors to three loops in QCD
• Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD
• Reduze 2 - Distributed Feynman Integral Reduction
• Quark and gluon form factors to three loops
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• Higgs pair production at the LHC with NLO and parton-shower effects
• Full top quark mass dependence in Higgs boson pair production at NLO
• Higher-Order threshold effects to inclusive processes in QCD
• Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO
• Light MSSM Higgs boson mass to three-loop accuracy
• Higgs boson mass in supersymmetry to three loops
• On the Higgs boson pair production at the LHC
• Two-loop virtual corrections to Higgs pair production
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• Production of a pseudo-scalar Higgs boson at hadron colliders at next-to-next-to leading order
• Pseudoscalar Higgs boson production at hadron colliders in NNLO QCD
• On Sudakov and Soft resummations in QCD
• Higgs boson pair production: top quark mass effects at NLO and NNLO
• Drell-Yan Production at Threshold to Third Order in QCD
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Higgs boson pair production via gluon fusion at N${}^3$LO in QCD
• Effective QCD Interactions of CP-odd Higgs Bosons at Three Loops
• On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model
• Higgs Boson pair production merged to one jet
• Pseudo-scalar Form Factors at Three Loops in QCD
• Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD
• Two-Loop Master Integrals for $q\bar{q}\to VV$: the Planar Topologies
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Higgs Pair Production: Improved Description by Matrix Element Matching
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• Higgs pair production from bottom quark annihilation to NNLO in QCD

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