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Factorization for the light-jet mass and hemisphere soft function

Becher, Thomas; Pecjak, Benjamin D.; Shao, Ding Yu

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Authors

Thomas Becher

Ding Yu Shao



Abstract

Many collider observables suffer from non-global logarithms not captured by standard resummation techniques. Classic examples are the light-jet mass event shape in the limit of small mass and the related hemisphere soft function. We derive factorization formulas for both of these and explicitly demonstrate that they capture all logarithms present at NNLO. These formulas achieve full scale separation and provide the basis for all-order resummations. A characteristic feature of non-global observables is that the soft radiation is driven by multi-Wilson-line operators, and the ones arising here map onto those relevant for the case of narrow-cone jet cross sections. Numerically, the contributions of non-global logarithms to resummed hemisphere-mass event shapes are sizeable.

Citation

Becher, T., Pecjak, B. D., & Shao, D. Y. (2016). Factorization for the light-jet mass and hemisphere soft function. Journal of High Energy Physics, 2016(12), Article 18. https://doi.org/10.1007/jhep12%282016%29018

Journal Article Type Article
Acceptance Date Nov 16, 2016
Online Publication Date Dec 5, 2016
Publication Date Dec 5, 2016
Deposit Date Jan 18, 2017
Publicly Available Date Jan 27, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 12
Article Number 18
DOI https://doi.org/10.1007/jhep12%282016%29018
Public URL https://durham-repository.worktribe.com/output/1388427

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.






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