NNLO subtraction for any massless final state: a complete analytic expression

Abstract We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing a fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation of all explicit infrared poles appearing in the double-virtual contr...

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Main Authors: Gloria Bertolotti, Lorenzo Magnea, Giovanni Pelliccioli, Alessandro Ratti, Chiara Signorile-Signorile, Paolo Torrielli, Sandro Uccirati
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2023)140
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author Gloria Bertolotti
Lorenzo Magnea
Giovanni Pelliccioli
Alessandro Ratti
Chiara Signorile-Signorile
Paolo Torrielli
Sandro Uccirati
author_facet Gloria Bertolotti
Lorenzo Magnea
Giovanni Pelliccioli
Alessandro Ratti
Chiara Signorile-Signorile
Paolo Torrielli
Sandro Uccirati
author_sort Gloria Bertolotti
collection DOAJ
description Abstract We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing a fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation of all explicit infrared poles appearing in the double-virtual contribution, in the real-virtual correction and in the integrated local infrared counterterms is explicitly verified, and all finite contributions arising from integrated local counterterms are analytically evaluated in terms of ordinary polylogarithms up to weight three. The resulting subtraction formula can readily be implemented in any numerical framework containing the relevant matrix elements up to NNLO.
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spelling doaj.art-95df26ce897443ef823eaa13ff4335c32023-10-29T12:07:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023719710.1007/JHEP07(2023)140NNLO subtraction for any massless final state: a complete analytic expressionGloria Bertolotti0Lorenzo Magnea1Giovanni Pelliccioli2Alessandro Ratti3Chiara Signorile-Signorile4Paolo Torrielli5Sandro Uccirati6Dipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoDipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoMax-Planck-Institut für PhysikMax-Planck-Institut für PhysikInstitut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT)Dipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoDipartimento di Fisica, Università di Torino and INFN, Sezione di TorinoAbstract We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing a fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation of all explicit infrared poles appearing in the double-virtual contribution, in the real-virtual correction and in the integrated local infrared counterterms is explicitly verified, and all finite contributions arising from integrated local counterterms are analytically evaluated in terms of ordinary polylogarithms up to weight three. The resulting subtraction formula can readily be implemented in any numerical framework containing the relevant matrix elements up to NNLO.https://doi.org/10.1007/JHEP07(2023)140Higher-Order Perturbative CalculationsFactorizationRenormalization GroupSpecific QCD Phenomenology
spellingShingle Gloria Bertolotti
Lorenzo Magnea
Giovanni Pelliccioli
Alessandro Ratti
Chiara Signorile-Signorile
Paolo Torrielli
Sandro Uccirati
NNLO subtraction for any massless final state: a complete analytic expression
Journal of High Energy Physics
Higher-Order Perturbative Calculations
Factorization
Renormalization Group
Specific QCD Phenomenology
title NNLO subtraction for any massless final state: a complete analytic expression
title_full NNLO subtraction for any massless final state: a complete analytic expression
title_fullStr NNLO subtraction for any massless final state: a complete analytic expression
title_full_unstemmed NNLO subtraction for any massless final state: a complete analytic expression
title_short NNLO subtraction for any massless final state: a complete analytic expression
title_sort nnlo subtraction for any massless final state a complete analytic expression
topic Higher-Order Perturbative Calculations
Factorization
Renormalization Group
Specific QCD Phenomenology
url https://doi.org/10.1007/JHEP07(2023)140
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