Endpoint relations for baryons

Abstract Following our earlier work we establish kinematic endpoint relations for baryon decays using the Wigner-Eckart theorem and apply them to 1 2 → 1 2 $$ \frac{1}{2}\to \frac{1}{2} $$ and 1 2 → 3 2 $$ \frac{1}{2}\to \frac{3}{2} $$ baryon transitions. We provide angular distributions at the kine...

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Autores principales: Gudrun Hiller, Roman Zwicky
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Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/57d6465d0f594830a271b18ea2098c4a
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spelling oai:doaj.org-article:57d6465d0f594830a271b18ea2098c4a2021-11-14T12:41:03ZEndpoint relations for baryons10.1007/JHEP11(2021)0731029-8479https://doaj.org/article/57d6465d0f594830a271b18ea2098c4a2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)073https://doaj.org/toc/1029-8479Abstract Following our earlier work we establish kinematic endpoint relations for baryon decays using the Wigner-Eckart theorem and apply them to 1 2 → 1 2 $$ \frac{1}{2}\to \frac{1}{2} $$ and 1 2 → 3 2 $$ \frac{1}{2}\to \frac{3}{2} $$ baryon transitions. We provide angular distributions at the kinematic endpoint which hold for the generic d = 6 model-independent effective Hamiltonian and comment on the behaviour in the vicinity of the endpoint. Moreover, we verify the endpoint relations, using an explicit form factor parametrisation, and clarify constraints on helicity-based form factors to evidence endpoint relations. Our results provide guidance for phenomenological parameterisations, consistency checks for theory computations and experiment. Results are applicable to ongoing and future new physics searches at LHCb, BES III and Belle II with rare semileptonic-, dineutrino-and charged-modes, which include Λ b → Λ(*) ℓℓ, Λ b → Λ(*) νν, Ω b → Ωℓℓ, Λ c → pℓℓ, Σ → pℓℓ and Λ b → Λ c ∗ $$ {\Lambda}_c^{\left(\ast \right)} $$ ℓν.Gudrun HillerRoman ZwickySpringerOpenarticleHeavy Quark PhysicsCP violationNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-25 (2021)
institution DOAJ
collection DOAJ
language EN
topic Heavy Quark Physics
CP violation
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Heavy Quark Physics
CP violation
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Gudrun Hiller
Roman Zwicky
Endpoint relations for baryons
description Abstract Following our earlier work we establish kinematic endpoint relations for baryon decays using the Wigner-Eckart theorem and apply them to 1 2 → 1 2 $$ \frac{1}{2}\to \frac{1}{2} $$ and 1 2 → 3 2 $$ \frac{1}{2}\to \frac{3}{2} $$ baryon transitions. We provide angular distributions at the kinematic endpoint which hold for the generic d = 6 model-independent effective Hamiltonian and comment on the behaviour in the vicinity of the endpoint. Moreover, we verify the endpoint relations, using an explicit form factor parametrisation, and clarify constraints on helicity-based form factors to evidence endpoint relations. Our results provide guidance for phenomenological parameterisations, consistency checks for theory computations and experiment. Results are applicable to ongoing and future new physics searches at LHCb, BES III and Belle II with rare semileptonic-, dineutrino-and charged-modes, which include Λ b → Λ(*) ℓℓ, Λ b → Λ(*) νν, Ω b → Ωℓℓ, Λ c → pℓℓ, Σ → pℓℓ and Λ b → Λ c ∗ $$ {\Lambda}_c^{\left(\ast \right)} $$ ℓν.
format article
author Gudrun Hiller
Roman Zwicky
author_facet Gudrun Hiller
Roman Zwicky
author_sort Gudrun Hiller
title Endpoint relations for baryons
title_short Endpoint relations for baryons
title_full Endpoint relations for baryons
title_fullStr Endpoint relations for baryons
title_full_unstemmed Endpoint relations for baryons
title_sort endpoint relations for baryons
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/57d6465d0f594830a271b18ea2098c4a
work_keys_str_mv AT gudrunhiller endpointrelationsforbaryons
AT romanzwicky endpointrelationsforbaryons
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