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High Energy Physics - Phenomenology

arXiv:1606.07411 (hep-ph)
[Submitted on 23 Jun 2016 (v1), last revised 20 Dec 2016 (this version, v4)]

Title:Fragmentation of a Jet with Small Radius

Authors:Lin Dai, Chul Kim, Adam K. Leibovich
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Abstract:In this paper we consider the fragmentation of a parton into a jet with small jet radius $R$. Perturbatively, logarithms of $R$ can appear, which for narrow jets can lead to large corrections. Using soft-collinear effective theory, we introduce the fragmentation function to a jet (FFJ), which describes the fragmentation of a parton into a jet. We discuss how these objects are related to the standard jet functions. Calculating the FFJ to next-to-leading order, we show that these objects satisfy the standard Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations, with a natural scale that depends upon $R$. By using the standard renormalization group evolution, we can therefore resum logarithms of $R$. We further use the soft-collinear effective theory to prove a factorization theorem where the FFJs naturally appear, for the fragmentation of a hadron within a jet with small $R$. Finally, we also show how this formalism can be used to resum the ratio of jet radii for a subjet to be emitted from within a fat jet.
Comments: 25 pages, 7 figures; matches published version, Fig. 5 fixed
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1606.07411 [hep-ph]
  (or arXiv:1606.07411v4 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1606.07411
Journal reference: Phys. Rev. D 94, 114023 (2016)
Related DOI: https://doi.org/10.1103/PhysRevD.94.114023

Submission history

From: Chul Kim [view email]
[v1] Thu, 23 Jun 2016 19:11:09 UTC (493 KB)
[v2] Thu, 30 Jun 2016 13:10:46 UTC (493 KB)
[v3] Mon, 31 Oct 2016 01:28:28 UTC (494 KB)
[v4] Tue, 20 Dec 2016 01:27:39 UTC (488 KB)
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