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arXiv · 1705.05375

The Energy Distribution of Subjets and the Jet Shape

Zhong-Bo Kang·Felix Ringer·Wouter J. Waalewijn
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Abstract

We present a framework that describes the energy distribution of subjets of radius $r$ within a jet of radius $R$. We consider both an inclusive sample of subjets as well as subjets centered around a predetermined axis, from which the jet shape can be obtained. For $r \ll R$ we factorize the physics at angular scales $r$ and $R$ to resum the logarithms of $r/R$. For central subjets, we consider both the standard jet axis and the winner-take-all axis, which involve double and single logarithms of $r/R$, respectively. All relevant one-loop matching coefficients are given, and an inconsistency in some previous results for cone jets is resolved. Our results for the standard jet shape differ from previous calculations at next-to-leading logarithmic order, because we account for the recoil of the standard jet axis due to soft radiation. Numerical results are presented for an inclusive subjet sample for $pp \to {\rm jet}+X$ at next-to-leading order plus leading logarithmic order.

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Zhong-Bo Kang, Felix Ringer, Wouter J. Waalewijn. 2017-07-11. The Energy Distribution of Subjets and the Jet Shape. https://doi.org/10.1007/jhep07(2017)064

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