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arXiv 1909.08993hep-ph
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胶子融合中双赝标产生的双圈QCD振幅

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

Arunima Bhattacharya, Maguni Mahakhud, Prakash Mathews, V. Ravindran

摘要:

计算了无质量量子色动力学(QCD)中四点振幅$g+g \rightarrow A+A$的辐射修正,直到微扰论中的$a_s^4$阶.我们采用有效场论,直接描述了在大顶夸克质量极限下赝标量与胶子和夸克的耦合。由于伪标量希格斯玻色子的CP奇性质,计算涉及到在维度正则化中仔细处理手征量。紫外有限结果与量子色动力学振幅的普遍红外结构一致。这些振幅的红外有限部分构成了大型强子对撞机上对伪标量对观测量的次至次阶修正的重要组成部分。

英文摘要:

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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