Double non-global logarithms in-n-out of jets

A bstract We derive the leading non-global logarithms (NGLs) of ratios of jet masses m 1,2 and a jet energy veto Λ due to soft gluons splitting into regions in and out of jets. Such NGLs appear in any exclusive jet cross section with multiple jet measurements or with a veto imposed on additional jet...

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Bibliographic Details
Published in:The journal of high energy physics 2012-01, Vol.2012 (1), Article 149
Main Authors: Hornig, Andrew, Lee, Christopher, Walsh, Jonathan R., Zuberi, Saba
Format: Article
Language:English
Subjects:
Algorithms
Classical and Quantum Gravitation
Cross-sections
Dependence
Elementary Particles
Gluons
High energy physics
Jets
Logarithms
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:A bstract We derive the leading non-global logarithms (NGLs) of ratios of jet masses m 1,2 and a jet energy veto Λ due to soft gluons splitting into regions in and out of jets. Such NGLs appear in any exclusive jet cross section with multiple jet measurements or with a veto imposed on additional jets. Here, we consider back-to-back jets of radius R produced in e + e − collisions, found with a cone or recombination algorithm. The leading NGLs are of the form or . Their coefficients depend both on the algorithm and on R . We consider cone, k T , anti-k T , and Cambridge-Aachen algorithms. In addition to determining the full algorithmic and R dependence of the leading NGLs, we derive new relations among their coefficients. We also derive to all orders in α s a factorized form for the soft function S ( k L , k R , Λ) in the cross section σ ( m 1 , m 2 , Λ) in which dependence on each of the global logs of μ / k L , μ / k R and μ /Λ determined by the renormalization group are separated from one another and from the non-global logs. The same kind of soft function, its associated non-global structure, and the algorithmic dependence we derive here will also arise in exclusive jet cross sections at hadron colliders, and must be understood and brought under control to achieve precise theoretical predictions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2012)149