AI 中文总结
本文基于领头色双圈QCD振幅的精确计算,提出了用有理系数特殊函数表示振幅的策略,克服椭圆函数障碍,并通过微分方程和有限域技术求值,最终以五维网格插值计算了次次领头阶的ttbarW包含截面。
AI 中文摘要
在这篇贡献中,我基于领头色下双圈QCD振幅的首次精确计算,给出了在QCD次次领头阶下顶夸克-反顶夸克对与W玻色子联合产生的包含截面的计算结果。我讨论了一种策略,将振幅用一组具有有理系数的特殊函数来表示,从而克服了椭圆函数存在所带来的障碍。这些特殊函数通过微分方程方法求值,而有理系数则利用有限域技术计算。对于包含截面的计算,双虚修正通过插值五维网格来评估。
英文摘要
In this contribution I present a calculation of the inclusive cross-section for the associated production of a top-anti-top pair and a W boson at next-to-next-to-leading order in QCD, based on the first exact computation of the two-loop QCD amplitude at leading colour. I discuss a strategy to express the amplitude in terms of a set of special functions with rational coefficients, overcoming the obstacle posed by the presence of elliptic functions. The special functions are evaluated through the method of differential equations, while the rational coefficients are computed using finite field techniques. For the computation of the inclusive cross-section, the double-virtual correction is evaluated by interpolating a five-dimensional grid.
Comments10 pages, 4 tables. Proceedings of the 33rd International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2026), May 4-8, 2026, Bologna, Italy