First computation of Mueller Tang processes using a full NLL BFKL approach

Abstract We present the full next-to-leading order (NLO) prediction for the jet-gap-jet cross section at the LHC within the BFKL approach. We implement, for the first time, the NLO impact factors in the calculation of the cross section. We provide results for differential cross sections as a functio...

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Main Authors: Dimitri Colferai, Federico Deganutti, Timothy G. Raben, Christophe Royon
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2023)091
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author Dimitri Colferai
Federico Deganutti
Timothy G. Raben
Christophe Royon
author_facet Dimitri Colferai
Federico Deganutti
Timothy G. Raben
Christophe Royon
author_sort Dimitri Colferai
collection DOAJ
description Abstract We present the full next-to-leading order (NLO) prediction for the jet-gap-jet cross section at the LHC within the BFKL approach. We implement, for the first time, the NLO impact factors in the calculation of the cross section. We provide results for differential cross sections as a function of the difference in rapidity and azimuthal angle betwen the two jets and the second leading jet transverse momentum. The NLO corrections of the impact factors induce an overall reduction of the cross section with respect to the corresponding predictions with only LO impact factors. We note that NLO impact factors feature a logarithmic dependence of the cross section on the total center of mass energy which formally violates BFKL factorization. We show that such term is one order of magnitude smaller than the total contribution, and thus can be safely included in the current prediction without a need of further resummation of such logarithmic terms. Fixing the renormalization scale μ R according to the principle of minimal sensitivity, suggests μ R about 4 times the sum of the transverse jet energies and provides smaller theroretical uncertainties with respect to the leading order case.
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spelling doaj.art-254b4ef24fea4f5c9807624fbc5b196f2023-09-24T11:06:03ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023614810.1007/JHEP06(2023)091First computation of Mueller Tang processes using a full NLL BFKL approachDimitri Colferai0Federico Deganutti1Timothy G. Raben2Christophe Royon3Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeDepartment of Physics and Astronomy, University of KansasDepartment of Physics and Astronomy, University of KansasDepartment of Physics and Astronomy, University of KansasAbstract We present the full next-to-leading order (NLO) prediction for the jet-gap-jet cross section at the LHC within the BFKL approach. We implement, for the first time, the NLO impact factors in the calculation of the cross section. We provide results for differential cross sections as a function of the difference in rapidity and azimuthal angle betwen the two jets and the second leading jet transverse momentum. The NLO corrections of the impact factors induce an overall reduction of the cross section with respect to the corresponding predictions with only LO impact factors. We note that NLO impact factors feature a logarithmic dependence of the cross section on the total center of mass energy which formally violates BFKL factorization. We show that such term is one order of magnitude smaller than the total contribution, and thus can be safely included in the current prediction without a need of further resummation of such logarithmic terms. Fixing the renormalization scale μ R according to the principle of minimal sensitivity, suggests μ R about 4 times the sum of the transverse jet energies and provides smaller theroretical uncertainties with respect to the leading order case.https://doi.org/10.1007/JHEP06(2023)091Deep Inelastic Scattering or Small-x PhysicsJets and Jet Substructure
spellingShingle Dimitri Colferai
Federico Deganutti
Timothy G. Raben
Christophe Royon
First computation of Mueller Tang processes using a full NLL BFKL approach
Journal of High Energy Physics
Deep Inelastic Scattering or Small-x Physics
Jets and Jet Substructure
title First computation of Mueller Tang processes using a full NLL BFKL approach
title_full First computation of Mueller Tang processes using a full NLL BFKL approach
title_fullStr First computation of Mueller Tang processes using a full NLL BFKL approach
title_full_unstemmed First computation of Mueller Tang processes using a full NLL BFKL approach
title_short First computation of Mueller Tang processes using a full NLL BFKL approach
title_sort first computation of mueller tang processes using a full nll bfkl approach
topic Deep Inelastic Scattering or Small-x Physics
Jets and Jet Substructure
url https://doi.org/10.1007/JHEP06(2023)091
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AT timothygraben firstcomputationofmuellertangprocessesusingafullnllbfklapproach
AT christopheroyon firstcomputationofmuellertangprocessesusingafullnllbfklapproach