夹挤 Sudakov
Pinching Sudakov
AI总结：
研究最大超对称 Yang-Mills 理论 Coulomb 分支近质壳 Sudakov 因子化，用区域方法识别夹挤奇点，并通过函数扭转与耦合方案变换修复两圈阶失效的朴素因子化。
摘要：
本文讨论近质壳极限下最大超对称 Yang-Mills 理论 Coulomb 分支上 Sudakov 形状因子的因子化。我们利用区域方法揭示了该可观测量的所有夹挤奇点，并分别用半无限区间和有限区间上 Wilson 线的矩阵元，确定了喷流函数和超软函数中的算符内容。然而，在两圈阶，因维数正规化参数中的次领头效应，分解为这些非相干动量分量的朴素因子化遭到破坏。为挽救这一局面，我们对相关函数进行适当扭转，并对 ’t Hooft 耦合同时作有限方案变换。扭转后的喷流函数与超软函数的红外物理由八边形反常维数控制，而未扭转超软函数的红外演化则由一个不同于普遍尖点反常维数的反常维数驱动。
英文摘要：
In this paper, we discuss the factorization of the Sudakov form factor on the Coulomb branch of maximally supersymmetric Yang-Mills theory in the near mass-shell limit. We unravel all pinch singularities of this observable making use of the Method of Regions. We find their operator content in terms of matrix elements of Wilson lines on semi-infinite and finite intervals for the jet and ultrasoft functions, respectively. However, naive factorization into these incoherent momentum components is broken at two-loop order by effects subleading in the parameter of dimensional regularization. To save the day, we perform an appropriate twisting of the functions involved as well as simultaneous finite scheme transformation of the 't Hooft coupling. Infrared physics of twisted jet and ultrasoft functions is governed by the octagon anomalous dimension, while the untwisted ultrasoft function possesses infrared evolution driven by an anomalous dimension different from the ubiquitous cusp.
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