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Factorization for the light-jet mass and hemisphere soft function.

Becher, Thomas and Pecjak, Benjamin D. and Shao, Ding Yu (2016) 'Factorization for the light-jet mass and hemisphere soft function.', Journal of high energy physics., 2016 (12). p. 18.


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.

Item Type:Article
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Publisher 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.
Date accepted:16 November 2016
Date deposited:27 January 2017
Date of first online publication:05 December 2016
Date first made open access:27 January 2017

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