NNLO beam functions for angularity distributions

Fuente: arXiv
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Hauptverfasser: Bell, Guido, Brune, Kevin, Das, Goutam, Wald, Marcel
Format: Preprint
Veröffentlicht: 2024
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author Bell, Guido
Brune, Kevin
Das, Goutam
Wald, Marcel
author_facet Bell, Guido
Brune, Kevin
Das, Goutam
Wald, Marcel
contents 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 Preprint
id arxiv_https___arxiv_org_abs_2409_13348
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle NNLO beam functions for angularity distributions
Bell, Guido
Brune, Kevin
Das, Goutam
Wald, Marcel
High Energy Physics - Phenomenology
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.
title NNLO beam functions for angularity distributions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2409.13348