Quark-hadron duality at work: lifetimes of bottom baryons

Abstract In the 1990s, very low experimental values for the lifetime ratio τ(Λ b )/τ(B d ) triggered a considerable amount of doubt in the applicability of the heavy quark expansion (HQE), which is based on the assumption of quark-hadron duality (QHD) for inclusive total decay rates. However, these...

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Main Authors: James Gratrex, Alexander Lenz, Blaženka Melić, Ivan Nišandžić, Maria Laura Piscopo, Aleksey V. Rusov
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2023)034
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author James Gratrex
Alexander Lenz
Blaženka Melić
Ivan Nišandžić
Maria Laura Piscopo
Aleksey V. Rusov
author_facet James Gratrex
Alexander Lenz
Blaženka Melić
Ivan Nišandžić
Maria Laura Piscopo
Aleksey V. Rusov
author_sort James Gratrex
collection DOAJ
description Abstract In the 1990s, very low experimental values for the lifetime ratio τ(Λ b )/τ(B d ) triggered a considerable amount of doubt in the applicability of the heavy quark expansion (HQE), which is based on the assumption of quark-hadron duality (QHD) for inclusive total decay rates. However, these low values turned out to be the result of purely experimental problems, and the current HFLAV average reads τ(Λ b )/τ(B d ) = 0.969(6). In this work, we present the Standard Model predictions for the b-baryon lifetimes within the framework of the HQE. In particular, we include for the first time the contribution of the Darwin term and we update the estimates for the matrix elements of the dimension-six four-quark operators. Within experimental and theoretical uncertainties, we find excellent agreement between the data and the HQE predictions, and thus no indication for any visible violation of QHD. Our numerical results can be summarised by the ratios τ(Λ b )/τ(B d ) = 0.955(14), τ Ω b − $$ \tau \left({\varOmega}_b^{-}\right) $$ /τ(B d ) = 1.081(42), and τ Ξ b 0 / τ Ξ b − $$ \tau \left({\Xi}_b^0\right)/\tau \left({\Xi}_b^{-}\right) $$ = 0.929(28).
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spelling doaj.art-e7f2e9cce08c4e75a9df008d681f992a2023-07-30T11:03:51ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413610.1007/JHEP04(2023)034Quark-hadron duality at work: lifetimes of bottom baryonsJames Gratrex0Alexander Lenz1Blaženka Melić2Ivan Nišandžić3Maria Laura Piscopo4Aleksey V. Rusov5Division of Theoretical Physics, Ruđer Bošković InstitutePhysik Department, Universität SiegenDivision of Theoretical Physics, Ruđer Bošković InstituteDivision of Theoretical Physics, Ruđer Bošković InstitutePhysik Department, Universität SiegenPhysik Department, Universität SiegenAbstract In the 1990s, very low experimental values for the lifetime ratio τ(Λ b )/τ(B d ) triggered a considerable amount of doubt in the applicability of the heavy quark expansion (HQE), which is based on the assumption of quark-hadron duality (QHD) for inclusive total decay rates. However, these low values turned out to be the result of purely experimental problems, and the current HFLAV average reads τ(Λ b )/τ(B d ) = 0.969(6). In this work, we present the Standard Model predictions for the b-baryon lifetimes within the framework of the HQE. In particular, we include for the first time the contribution of the Darwin term and we update the estimates for the matrix elements of the dimension-six four-quark operators. Within experimental and theoretical uncertainties, we find excellent agreement between the data and the HQE predictions, and thus no indication for any visible violation of QHD. Our numerical results can be summarised by the ratios τ(Λ b )/τ(B d ) = 0.955(14), τ Ω b − $$ \tau \left({\varOmega}_b^{-}\right) $$ /τ(B d ) = 1.081(42), and τ Ξ b 0 / τ Ξ b − $$ \tau \left({\Xi}_b^0\right)/\tau \left({\Xi}_b^{-}\right) $$ = 0.929(28).https://doi.org/10.1007/JHEP04(2023)034Bottom QuarksSemi-Leptonic Decays
spellingShingle James Gratrex
Alexander Lenz
Blaženka Melić
Ivan Nišandžić
Maria Laura Piscopo
Aleksey V. Rusov
Quark-hadron duality at work: lifetimes of bottom baryons
Journal of High Energy Physics
Bottom Quarks
Semi-Leptonic Decays
title Quark-hadron duality at work: lifetimes of bottom baryons
title_full Quark-hadron duality at work: lifetimes of bottom baryons
title_fullStr Quark-hadron duality at work: lifetimes of bottom baryons
title_full_unstemmed Quark-hadron duality at work: lifetimes of bottom baryons
title_short Quark-hadron duality at work: lifetimes of bottom baryons
title_sort quark hadron duality at work lifetimes of bottom baryons
topic Bottom Quarks
Semi-Leptonic Decays
url https://doi.org/10.1007/JHEP04(2023)034
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