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The energy distribution of subjets and the jet shape

Authors :: Zhong-Bo Kang
Wouter J. Waalewijn
Felix Ringer
Theoretical Particle Physics (ITFA, IoP, FNWI)
Source :: Journal of High Energy Physics, Vol 2017, Iss 7, Pp 1-39 (2017), Kang, Z-B; Ringer, F; & Waalewijn, WJ. (2017). The energy distribution of subjets and the jet shape. Journal of High Energy Physics, 2017(7). doi: 10.1007/JHEP07(2017)064. Lawrence Berkeley National Laboratory: Lawrence Berkeley National Laboratory. Retrieved from: http://www.escholarship.org/uc/item/2kz3f433, Journal of High Energy Physics, vol 2017, iss 7, Journal of High Energy Physics, Journal of High Energy Physics, 2017(7):64. Springer Verlag
Publication Year :: 2017
Publisher :: SpringerOpen, 2017.
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.<br />39 pages, 7 figures, v2: journal version