Banfi, Andrea, Dreyer, Frédéric A and Monni, Pier Francesco (2022) Higher-order non-global logarithms from jet calculus. Journal of High Energy Physics, 2022 (3). a135 1-33. ISSN 1029-8479

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Abstract

Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two decades ago. In this article we present a solution to the long-standing problem of their resummation beyond this order, and carry out the first complete next-to-leading logarithmic calculation for non-global observables. This is achieved by solving numerically the recently derived set of non-linear differential equations which describe the evolution of soft radiation in the planar, large-Nc limit. As a case study we address the calculation of the transverse energy distribution in the interjet rapidity region in e+e− → dijet production. The calculation is performed by means of an algorithm that we formulate in the language of jet-calculus generating functionals, which also makes the resummation technique applicable to more general non-global problems, such as those that arise in hadronic collisions. We find that NLL corrections are substantial and their inclusion leads to a significant reduction of the perturbative scale uncertainties for these observables. The computer code used in the calculations is made publicly available.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor:	Mx Elements Account
Depositing User:	Mx Elements Account
Date Deposited:	01 Apr 2022 09:58
Last Modified:	01 Apr 2022 10:00
URI:	http://sro.sussex.ac.uk/id/eprint/105120

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