Banfi2022_Article_Higher-orderNon-globalLogarith.pdf (647.27 kB)
Higher-order non-global logarithms from jet calculus
journal contribution
posted on 2023-06-10, 03:02 authored by Andrea BanfiAndrea Banfi, Frédéric A Dreyer, Pier Francesco MonniNon-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.
History
Publication status
- Published
File Version
- Published version
Journal
Journal of High Energy PhysicsISSN
1029-8479Publisher
SpringerExternal DOI
Issue
3Volume
2022Page range
1-33Article number
a135Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2022-04-01First Open Access (FOA) Date
2022-04-01First Compliant Deposit (FCD) Date
2022-03-31Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC