Next-to-leading non-global logarithms in QCD
Next-to-leading non-global logarithms in QCD
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DOI：
10.1007/jhep10(2021)006
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发表时间：
2021-10-01
影响因子：
5.4
通讯作者：
Monni, Pier Francesco
中科院分区：
文献类型：
--
作者：
Banfi, Andrea;Dreyer, Frederic A.;Monni, Pier Francesco
非全局的非线性是由于对撞机观测量在相空间有限角域中对软辐射的敏感性引起的。他们的recremation下到领先的对数（NLL）顺序一直是一个长期存在的问题，其解决方案是相关的范围内的各种各样的对撞机过程和可观的精密全阶计算。在这篇文章中，我们认为观测值只对软辐射敏感，其特征在于没有Sudakov双双折射，我们推导出一组积分-微分方程，描述了NLL软修正在平面，大N-C限制的recrmation。由此产生的一组演化方程是在维正则化，我们还提供了一个配方，显然是有限的四个时空维度。后者是适合于数值积分，并可以推广到治疗其他红外安全的观测敏感的软广角辐射。我们利用所发展的形式对e（+）e（-）碰撞中两个锥形喷流间喷流区的横向能量和能量分布进行了全色的定阶计算，计算结果为O（alpha（2）（s））。我们发现，展开的图解截面正确地再现了完整的QCD结果的对数结构。
Non-global logarithms arise from the sensitivity of collider observables to soft radiation in limited angular regions of phase space. Their resummation to next-to-leading logarithmic (NLL) order has been a long standing problem and its solution is relevant in the context of precision all-order calculations in a wide variety of collider processes and observables. In this article, we consider observables sensitive only to soft radiation, characterised by the absence of Sudakov double logarithms, and we derive a set of integro-differential equations that describes the resummation of NLL soft corrections in the planar, large-N-c limit. The resulting set of evolution equations is derived in dimensional regularisation and we additionally provide a formulation that is manifestly finite in four space-time dimensions. The latter is suitable for a numerical integration and can be generalised to treat other infrared-safe observables sensitive solely to soft wide-angle radiation. We use the developed formalism to carry out a fixed-order calculation to O(alpha(2)(s)) in full colour for both the transverse energy and energy distribution in the interjet region between two cone jets in e(+)e(-) collisions. We find that the expansion of the resummed cross section correctly reproduces the logarithmic structure of the full QCD result.