NLO oriented event-shape distributions for massive quarks

Abstract In this article we compute the cross section for the process e + e − → Q Q ¯ + X $$ {e}^{+}{e}^{-}\to Q\overline{Q}+X $$ , with Q a heavy quark, differential in a given event shape e and the angle θ T between the thrust axis and the beam direction. These observables are usually referred to...

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Main Authors: Alejandro Bris, Nestor G. Gracia, Vicent Mateu
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2023)247
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author Alejandro Bris
Nestor G. Gracia
Vicent Mateu
author_facet Alejandro Bris
Nestor G. Gracia
Vicent Mateu
author_sort Alejandro Bris
collection DOAJ
description Abstract In this article we compute the cross section for the process e + e − → Q Q ¯ + X $$ {e}^{+}{e}^{-}\to Q\overline{Q}+X $$ , with Q a heavy quark, differential in a given event shape e and the angle θ T between the thrust axis and the beam direction. These observables are usually referred to as oriented event shapes, and it has been shown that the θ T dependence can be split in two structures, dubbed the unoriented and angular terms. Since the unoriented part is already known, we compute the differential and cumulative distributions in fixed-order for the angular part up to O $$ \mathcal{O} $$ (α s ). Our results show that, for the vector current, there is a non-zero O α s 0 $$ \mathcal{O}\left({\alpha}_s^0\right) $$ contribution, in contrast to the axial-vector current or for massless quarks. This entails that for the vector current one should expect singular terms at O $$ \mathcal{O} $$ (α s ) as well as infrared divergences in real- and virtual-radiation diagrams that should cancel when added up. On the phenomenological side, and taking into account that electroweak factors enhance the vector current, it implies that finite bottom-mass effects are an important correction since they are not damped by a power of the strong coupling and therefore cannot be neglected in precision studies. Finally, we show that the total angular distribution for the vector current has a Sommerfeld enhancement at threshold.
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spelling doaj.art-74a546fd556f4f2792f57080c4b8a08a2023-07-16T11:05:39ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214210.1007/JHEP02(2023)247NLO oriented event-shape distributions for massive quarksAlejandro Bris0Nestor G. Gracia1Vicent Mateu2Departamento de Física Teórica, Universidad Autónoma de MadridDepartamento de Física Fundamental e IUFFyM, Universidad de SalamancaDepartamento de Física Fundamental e IUFFyM, Universidad de SalamancaAbstract In this article we compute the cross section for the process e + e − → Q Q ¯ + X $$ {e}^{+}{e}^{-}\to Q\overline{Q}+X $$ , with Q a heavy quark, differential in a given event shape e and the angle θ T between the thrust axis and the beam direction. These observables are usually referred to as oriented event shapes, and it has been shown that the θ T dependence can be split in two structures, dubbed the unoriented and angular terms. Since the unoriented part is already known, we compute the differential and cumulative distributions in fixed-order for the angular part up to O $$ \mathcal{O} $$ (α s ). Our results show that, for the vector current, there is a non-zero O α s 0 $$ \mathcal{O}\left({\alpha}_s^0\right) $$ contribution, in contrast to the axial-vector current or for massless quarks. This entails that for the vector current one should expect singular terms at O $$ \mathcal{O} $$ (α s ) as well as infrared divergences in real- and virtual-radiation diagrams that should cancel when added up. On the phenomenological side, and taking into account that electroweak factors enhance the vector current, it implies that finite bottom-mass effects are an important correction since they are not damped by a power of the strong coupling and therefore cannot be neglected in precision studies. Finally, we show that the total angular distribution for the vector current has a Sommerfeld enhancement at threshold.https://doi.org/10.1007/JHEP02(2023)247Jets and Jet SubstructureQuark MassesTop Quark
spellingShingle Alejandro Bris
Nestor G. Gracia
Vicent Mateu
NLO oriented event-shape distributions for massive quarks
Journal of High Energy Physics
Jets and Jet Substructure
Quark Masses
Top Quark
title NLO oriented event-shape distributions for massive quarks
title_full NLO oriented event-shape distributions for massive quarks
title_fullStr NLO oriented event-shape distributions for massive quarks
title_full_unstemmed NLO oriented event-shape distributions for massive quarks
title_short NLO oriented event-shape distributions for massive quarks
title_sort nlo oriented event shape distributions for massive quarks
topic Jets and Jet Substructure
Quark Masses
Top Quark
url https://doi.org/10.1007/JHEP02(2023)247
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