强子对撞机上重夸克对产生的NNLO软函数
NNLO soft functions for heavy-quark pair production at hadron colliders
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中文总结 AI 辅助
该研究推广SoftSERVE框架，完成强子对撞机顶夸克对产生NNLO软函数的自动计算，给出0-jettiness软函数二维网格结果，详述重整化流程并分析三极色关联奇异性。
中文摘要 AI 辅助
我们将SoftSERVE框架推广，用于自动计算背靠背运动学中涉及末态重夸克的软函数，精度达到强耦合展开下的 next-to-next-to-leading order（NNLO，次次领头阶）。我们的算法对有质量贡献和混合无质量-有质量贡献采用合适的相空间参数化，可实现高效数值计算。针对满足非阿贝尔指数化的SCET$_\text{I}$观测量，我们以二维网格形式给出强子顶夸克对产生中0-jettiness软函数的显式结果，详细描述了重整化流程，并讨论了阈值极限下三极色关联的奇异性行为。
英文摘要
We generalise the SoftSERVE framework for the automated computation of soft functions involving final-state heavy quarks in back-to-back kinematics up to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our algorithm employs suitable phase-space parameterisations for both massive and mixed massless-massive contributions, allowing for an efficient numerical evaluation. Focusing on SCET$_\mathrm{I}$ observables that satisfy non-Abelian exponentiation, we present explicit results for the 0-jettiness soft function in hadronic top-quark pair production in the form of two-dimensional grids. We describe the renormalisation procedure in detail and discuss the singular behaviour of the tripole colour correlations in the threshold limit.
