发表机构
CERN; Instituto de Física Corpuscular, Universitat de València – Consejo Superior de Investigaciones Científicas; Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano; Institute for Theoretical Physics, Universität Tübingen（欧洲核子研究中心; 瓦伦西亚大学-西班牙高等科研理事会粒子物理研究所; 米兰大学物理系和意大利国家核物理学院米兰分部; 蒂宾根大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文解析计算了有限横动量下矢量玻色子产生的NLO QCD螺旋度截面，实现于DYTurbo程序，较数值方法加速超五个数量级，并利用大语言模型作为自主智能体辅助计算。
AI 中文摘要
我们给出了电弱矢量玻色子（$W^\pm$, $Z/\gamma^*$）在有限横动量下产生的次领头阶（NLO）QCD截面的完整解析计算，并将其分解为决定Collins-Soper框架中轻子对角度分布角系数$A_0$-$A_7$的完整螺旋度截面集合。该计算包括非极化截面以及中性流和带电流Drell-Yan产生的全部八个螺旋度投影，轴向夸克三角形贡献在$m_t\to\infty$极限下以及具有完整顶夸克质量依赖的情况，以及所有系数函数的闭式表达式。结果已在DYTurbo程序中实现，并相对于源自MCFM的数值实现，在约$10^{-4}$量级的精度上进行了验证，同时通过解析的$q_T\to0$极限进行了验证。解析实现相对于数值代码实现了超过五个数量级的加速，为LHC上的精密电弱测量提供了快速且数值稳定的预测。该计算大量使用大型语言模型（Anthropic Claude）作为自主智能体完成；我们记录了该方法以及相关的计算和令牌预算。
英文摘要
We present a complete analytic calculation of the next-to-leading-order (NLO) QCD cross sections for the production of an electroweak vector boson ($W^\pm$, $Z/γ^*$) at finite transverse momentum, decomposed into the full set of helicity cross sections that determine the angular coefficients $A_0$-$A_7$ of the lepton-pair angular distribution in the Collins-Soper frame. The calculation includes the unpolarised cross section and all eight helicity projections for both neutral- and charged-current Drell-Yan production, the axial quark-triangle contributions in the $m_t\to\infty$ limit and with full top-quark-mass dependence, and closed-form expressions for all coefficient functions. The results are implemented in the DYTurbo program and validated at the level of a few times $10^{-4}$ against its numerical implementation derived from MCFM, as well as through the analytic $q_T\to0$ limit. The analytic implementation achieves a speed-up of more than five orders of magnitude with respect to the numerical code, enabling fast and numerically stable predictions for precision electroweak measurements at the LHC. The calculation was carried out with extensive use of large language models (Anthropic Claude) as autonomous agents; we document the methodology and the associated computational and token budgets.
Comments43 pages, 10 figures
