AI 中文总结
本研究完成了强子对撞机上 $t\ar{t}W$ 产生过程领头色近似下双圈QCD振幅的首次精确计算，采用微分方程法与有限场技术处理复杂结构，为相关物理研究提供了关键理论结果。
AI 中文摘要
在本研究中，我首次精确计算了顶夸克-反顶夸克对与W玻色子伴随产生过程的领头色双圈QCD振幅。我探讨了应对该计算复杂性的策略，其涉及嵌套平方根、椭圆函数等复杂解析结构，以及高代数复杂度的表达式。最终结果以一组特殊函数和有理系数形式呈现，特殊函数通过微分方程法求解，有理系数则借助有限场技术计算。
英文摘要
In this contribution I present the first exact calculation of the leading-colour two-loop QCD amplitude for the associated production of a top-anti-top pair and a W boson. I discuss strategies to address the complexity of the computation, which involves complicated analytic structures, such as nested square roots, elliptic functions, and expressions with a high degree of algebraic complexity. The final result is expressed in terms of a set of special functions, which are evaluated using the method of differential equations, and rational coefficients, evaluated via finite field techniques.
Comments11 pages, 2 figures, 2 tables; contribution to the proceedings of the Loops and Legs in Quantum Field Theory conference (LL2026), April 12-17, 2026, Bayreuth, Germany
