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.

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

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Cited by in corpus (11)

• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Chasing the two-Higgs doublet model in the di-Higgs production
• Form factors with two operator insertions and the principle of maximal transcendentality
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Resummed inclusive cross-section in ADD model at N${}^3$LL+NNLO
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD
• Full NLO QCD predictions for Higgs-pair production in the 2-Higgs-Doublet Model
• Next to Soft Threshold Resummation for $VH$ Production
• Investigating Higgs self-interaction through di-Higgs plus jet production
• Pseudoscalar Higgs boson decay to three parton amplitudes at NNLO to higher orders in the dimensional regulator