NNLO beam functions for angularity distributions

Abstract The popular class of angularity event shapes provides a wealth of information on the hadronic final-state distribution in collider events. While initially proposed for e + e − collisions, angularities have more recently attracted considerable interest as a jet substructure observable at had...

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Main Authors: Guido Bell, Kevin Brune, Goutam Das, Marcel Wald
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2025)088
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author Guido Bell
Kevin Brune
Goutam Das
Marcel Wald
author_facet Guido Bell
Kevin Brune
Goutam Das
Marcel Wald
author_sort Guido Bell
collection DOAJ
description Abstract The popular class of angularity event shapes provides a wealth of information on the hadronic final-state distribution in collider events. While initially proposed for e + e − collisions, angularities have more recently attracted considerable interest as a jet substructure observable at hadron colliders. Moreover, angularities can be measured as a global event shape in deep inelastic electron-nucleon scattering (DIS), and the respective factorisation theorem contains a beam function that parametrises the collinear initial-state radiation. In the present work, we compute the quark and gluon beam functions for seven different angularities to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an automated framework that was previously developed for SCET-2 observables, and which we transfer in the current work to the generic SCET-1 case. Our results are relevant for resumming DIS angularity distributions at NNLL′ accuracy.
format Article
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issn 1029-8479
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spelling doaj-art-d615151e49c341edbe39597c10e8de4d2025-08-20T02:16:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025311910.1007/JHEP03(2025)088NNLO beam functions for angularity distributionsGuido Bell0Kevin Brune1Goutam Das2Marcel Wald3Theoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenTheoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityTheoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenAbstract The popular class of angularity event shapes provides a wealth of information on the hadronic final-state distribution in collider events. While initially proposed for e + e − collisions, angularities have more recently attracted considerable interest as a jet substructure observable at hadron colliders. Moreover, angularities can be measured as a global event shape in deep inelastic electron-nucleon scattering (DIS), and the respective factorisation theorem contains a beam function that parametrises the collinear initial-state radiation. In the present work, we compute the quark and gluon beam functions for seven different angularities to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an automated framework that was previously developed for SCET-2 observables, and which we transfer in the current work to the generic SCET-1 case. Our results are relevant for resumming DIS angularity distributions at NNLL′ accuracy.https://doi.org/10.1007/JHEP03(2025)088Effective Field Theories of QCDHigher-Order Perturbative CalculationsResummation
spellingShingle Guido Bell
Kevin Brune
Goutam Das
Marcel Wald
NNLO beam functions for angularity distributions
Journal of High Energy Physics
Effective Field Theories of QCD
Higher-Order Perturbative Calculations
Resummation
title NNLO beam functions for angularity distributions
title_full NNLO beam functions for angularity distributions
title_fullStr NNLO beam functions for angularity distributions
title_full_unstemmed NNLO beam functions for angularity distributions
title_short NNLO beam functions for angularity distributions
title_sort nnlo beam functions for angularity distributions
topic Effective Field Theories of QCD
Higher-Order Perturbative Calculations
Resummation
url https://doi.org/10.1007/JHEP03(2025)088
work_keys_str_mv AT guidobell nnlobeamfunctionsforangularitydistributions
AT kevinbrune nnlobeamfunctionsforangularitydistributions
AT goutamdas nnlobeamfunctionsforangularitydistributions
AT marcelwald nnlobeamfunctionsforangularitydistributions