Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders

Abstract We consider extensions of the soft-gluon effective coupling that generalize the Catani-Marchesini-Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the probability density of correlated soft emission in d dimensions...

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Main Authors: Stefano Catani, Daniel de Florian, Simone Devoto, Massimiliano Grazzini, Javier Mazzitelli
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)217
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author Stefano Catani
Daniel de Florian
Simone Devoto
Massimiliano Grazzini
Javier Mazzitelli
author_facet Stefano Catani
Daniel de Florian
Simone Devoto
Massimiliano Grazzini
Javier Mazzitelli
author_sort Stefano Catani
collection DOAJ
description Abstract We consider extensions of the soft-gluon effective coupling that generalize the Catani-Marchesini-Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the probability density of correlated soft emission in d dimensions we introduce a class of soft couplings relevant for resummed QCD calculations of hard-scattering observables. We show that at the conformal point, where the d-dimensional QCD β function vanishes, all these effective couplings are equal and they are also equal to the cusp anomalous dimension. We present explicit results in d dimensions for the soft-emission probability density and the soft couplings at the second-order in the QCD coupling α S. In d = 4 dimensions we obtain the explicit relation between the soft couplings at O $$ \mathcal{O} $$ ( α S 3 $$ {\alpha}_{\textrm{S}}^3 $$ ). Finally, we study the structure of the soft coupling in the large-n F limit and we present explicit expressions to all orders in perturbation theory. We also check that, at the conformal point, our large-n F results agree with the known result of the cusp anomalous dimension.
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spelling doaj.art-26d2e8fa2b7e4314adae539ec2799ba62024-04-21T11:05:16ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112410.1007/JHEP11(2023)217Soft-gluon effective coupling: perturbative results and the large-n F limit to all ordersStefano Catani0Daniel de Florian1Simone Devoto2Massimiliano Grazzini3Javier Mazzitelli4INFN, Sezione di Firenze and Dipartimento di Fisica e Astronomia, Università di FirenzeInternational Center for Advanced Studies (ICAS) and ICIFI, ECyT-UNSAMDipartimento di Fisica “Aldo Pontremoli”, University of Milano and INFN, Sezione di MilanoPhysik Institut, Universität ZürichPaul Scherrer InstitutAbstract We consider extensions of the soft-gluon effective coupling that generalize the Catani-Marchesini-Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the probability density of correlated soft emission in d dimensions we introduce a class of soft couplings relevant for resummed QCD calculations of hard-scattering observables. We show that at the conformal point, where the d-dimensional QCD β function vanishes, all these effective couplings are equal and they are also equal to the cusp anomalous dimension. We present explicit results in d dimensions for the soft-emission probability density and the soft couplings at the second-order in the QCD coupling α S. In d = 4 dimensions we obtain the explicit relation between the soft couplings at O $$ \mathcal{O} $$ ( α S 3 $$ {\alpha}_{\textrm{S}}^3 $$ ). Finally, we study the structure of the soft coupling in the large-n F limit and we present explicit expressions to all orders in perturbation theory. We also check that, at the conformal point, our large-n F results agree with the known result of the cusp anomalous dimension.https://doi.org/10.1007/JHEP11(2023)217ResummationHigher-Order Perturbative CalculationsThe Strong Coupling
spellingShingle Stefano Catani
Daniel de Florian
Simone Devoto
Massimiliano Grazzini
Javier Mazzitelli
Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
Journal of High Energy Physics
Resummation
Higher-Order Perturbative Calculations
The Strong Coupling
title Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
title_full Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
title_fullStr Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
title_full_unstemmed Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
title_short Soft-gluon effective coupling: perturbative results and the large-n F limit to all orders
title_sort soft gluon effective coupling perturbative results and the large n f limit to all orders
topic Resummation
Higher-Order Perturbative Calculations
The Strong Coupling
url https://doi.org/10.1007/JHEP11(2023)217
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AT danieldeflorian softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders
AT simonedevoto softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders
AT massimilianograzzini softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders
AT javiermazzitelli softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders