arXiv 2510.017742025-10-02hep-ph

强子对撞机上$t\ar{t}γ$产生的两圈QCD振幅

Two-loop QCD amplitudes for $t\bar{t}γ$ production at hadron colliders

Guoxing Wang, Li Lin Yang

备注：: 34 pages, 7 figures and 6 tables

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AI总结：

本研究针对强子对撞机上$t\ar{t}γ$产生过程，推导了含完整顶夸克质量依赖的两圈振幅红外奇点，给出高能助推极限下的有限余项近似，验证了方法的正确性，为该过程的次次领头阶理论预言奠定了基础。

摘要：

光子与顶夸克-反顶夸克对（$t\ar{t}γ$）的协同产生对测量顶夸克电荷、探测顶夸克-光子相互作用具有重要意义，需要更精确的理论预言。本文聚焦强子对撞机上$t\ar{t}γ$产生的两圈振幅计算。完全依赖顶夸克质量的红外奇点由普适反常量纲结合展开至维数正规化参数$ε$高阶的带质量一圈振幅推导得到。有限余项在高能助推极限下利用质量因子化公式进行近似。为验证方法，我们将计算到$\u003cmath\u003e\u003cmrow\u003e\u003cmathvariant\u003eO\u003c/mathvariant\u003e\u003emo stretchy="false" form="prefix" (\u003c/mo\u003e\u003cmsup\u003e\u003cmi\u003eε\u003c/mi\u003e\u003cmi\u003e2\u003c/mi\u003e\u003c/msup\u003e\u003cmo stretchy="false" form="postfix" )\u003c/mo\u003e\u003c/mrow\u003e\u003c/math\u003e的近似一圈振幅以及两圈红外极点与精确结果进行了对比。本文结果是迈向$t\ar{t}γ$产生次次领头阶预言的重要一步。

英文摘要：

The associated production of a photon and a top-antitop quark pair ($t\bar{t}γ$) is important for measuring the top-quark charge and probing the top-photon interaction, and it requires improved theoretical predictions. We focus on the calculation of two-loop amplitudes for $t\bar{t}γ$ production at hadron colliders. The infrared singularities with full top-quark mass dependence are derived from universal anomalous dimensions combined with one-loop massive amplitudes expanded to higher orders in the dimensional regulator $ε$. The finite remainders are approximated in the high-energy boosted limit using the mass-factorization formula. To validate our approach, we compare approximate one-loop amplitudes up to $\mathcal{O}\left(ε^2\right)$, as well as the two-loop infrared poles, against our exact results. The results in this paper serve as an important step toward next-to-next-to-leading order predictions for $t\bar{t}γ$ production.

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