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...
Main Authors: | , , , , |
---|---|
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 |
_version_ | 1797199743120572416 |
---|---|
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. |
first_indexed | 2024-03-09T06:02:02Z |
format | Article |
id | doaj.art-26d2e8fa2b7e4314adae539ec2799ba6 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T07:20:36Z |
publishDate | 2023-11-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT stefanocatani softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders AT danieldeflorian softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders AT simonedevoto softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders AT massimilianograzzini softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders AT javiermazzitelli softgluoneffectivecouplingperturbativeresultsandthelargenflimittoallorders |