We compute the radiative corrections to the four-point amplitude g + g → A + A in massless Quantum Chromodynamics (QCD) up to order α s 4 $$ {\alpha}_s^4 $$ 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.

中文翻译：

---

胶子聚变中双伪标量产生的两个环 QCD 振幅

我们计算无质量量子色动力学 (QCD) 中四点振幅 g + g → A + A 的辐射校正，直到扰动理论中的 α s 4 $$ {\alpha}_s^4 $$ 阶。我们使用了有效场论，该理论描述了在大顶夸克质量极限下赝标量与胶子和夸克的直接耦合。由于伪标量希格斯玻色子的 CP 奇性质，计算涉及在维度正则化中仔细处理手性量。紫外有限结果表明与 QCD 振幅的通用红外结构一致。这些振幅的红外有限部分构成了对涉及大型强子对撞机上一对伪标量的可观测量的任何次前次校正的重要组成部分。