Abstract
We compute the radiative corrections to the four-point amplitude \(g+g \rightarrow A+A\) 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.
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Bhattacharya, A., Mahakhud, M., Mathews, P., Ravindran, V. (2022). Two-Loop QCD Amplitudes for Di-pseudo Scalar Production in Gluon Fusion. In: Mohanty, B., Swain, S.K., Singh, R., Kashyap, V.K.S. (eds) Proceedings of the XXIV DAE-BRNS High Energy Physics Symposium, Jatni, India. Springer Proceedings in Physics, vol 277. Springer, Singapore. https://doi.org/10.1007/978-981-19-2354-8_9
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DOI: https://doi.org/10.1007/978-981-19-2354-8_9
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