Lightcone Expansion Beyond Leading Power

Sebastian Jaskiewicz
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Abstract

We discuss recent developments in descriptions of processes using power expansion around the lightcone within Soft-Collinear Effective Theory. First, we present an overview of the systematically improvable framework that enables factorization of high-energy scattering processes beyond leading power in the expansion in ratios of energy scales. As an illustration of the relevant concepts, we describe the recently derived factorization theorem for the off-diagonal channel of the Drell-Yan production process at threshold. This example exposes endpoint divergences appearing in convolution integrals in factorization formulas. Lastly, we discuss the solution to these complications developed in the context of ''gluon thrust'' in $e^+e^-$ collisions.
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Lightcone 扩展到领先动力之外
我们讨论了在软共线有效理论中使用围绕光锥的幂级数扩展来描述过程的最新进展。首先,我们概述了可系统改进的框架,该框架使高能散射过程的因子化超越了能量尺度比扩展中的前导幂。作为对相关概念的说明,我们描述了最近推导出的阈值德雷尔-杨生产过程非对角通道的因式分解定理。这个例子揭示了因式分解公式中卷积积分出现的端点发散。最后,我们讨论了在$e^+e^-$对撞中 "胶子推力 "背景下开发的这些复杂问题的解决方案。
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Geometrical Methods for the Analytic Evaluation of Multiple Mellin–Barnes Integrals Lightcone Expansion Beyond Leading Power Quantum Algorithms in Particle Physics
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