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arXiv 1704.08262hep-ph
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广义喷流算法的软函数和强子对撞机上的观测量

Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders

Daniele Bertolini, Daniel Kolodrubetz, Duff Neill, Piotr Pietrulewicz, Iain W. Stewart, Frank J. Tackmann, Wouter J. Waalewijn

摘要:

我们介绍了一种方法来计算一个循环的软函数专用$N$喷流过程在强子对撞机,允许不同的定义的算法,确定喷射区域和测量在这些地区。特别是,我们推广了[Jouttenus 2011]的$N$ -jettiness半球分解,其方式是将对射流边界的依赖性与在射流和光束区域内测量的可观测量分开。结果给出了几个可因式分解的射流定义,包括反$k_T$,XCone,和其他几何分割。我们显式计算的软函数的角度测量,包括喷流质量和喷流加宽,在$pp \to L + 1$喷流,并探讨不同的喷流否决权和算法的差异。这包括在适用时对快度发散的一致处理。我们还计算这些软功能的小射流半径$R$的扩展的解析结果。我们发现,小$R$的结果,包括校正高达$\mathcal{O}(R^2)$,准确地捕捉到完整的行为在一个大范围的$R$。

英文摘要:

We introduce a method to compute one-loop soft functions for exclusive $N$-jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In particular, we generalize the $N$-jettiness hemisphere decomposition of [Jouttenus 2011] in a manner that separates the dependence on the jet boundary from the observables measured inside the jet and beam regions. Results are given for several factorizable jet definitions, including anti-$k_T$, XCone, and other geometric partitionings. We calculate explicitly the soft functions for angularity measurements, including jet mass and jet broadening, in $pp \to L + 1$ jet and explore the differences for various jet vetoes and algorithms. This includes a consistent treatment of rapidity divergences when applicable. We also compute analytic results for these soft functions in an expansion for a small jet radius $R$. We find that the small-$R$ results, including corrections up to $\mathcal{O}(R^2)$, accurately capture the full behavior over a large range of $R$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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