HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model

Abstract Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective |∆B| = 1 Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting ∆B = 0...

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Main Authors: Matthew Black, Martin Lang, Alexander Lenz, Zachary Wüthrich
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)081
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author Matthew Black
Martin Lang
Alexander Lenz
Zachary Wüthrich
author_facet Matthew Black
Martin Lang
Alexander Lenz
Zachary Wüthrich
author_sort Matthew Black
collection DOAJ
description Abstract Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective |∆B| = 1 Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting ∆B = 0 Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio τ (B +) /τ (B d ), obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators.
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spelling doaj-art-95501f5e7b89498ca9e1784516bc8f1b2025-08-20T03:53:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025413310.1007/JHEP04(2025)081HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard ModelMatthew Black0Martin Lang1Alexander Lenz2Zachary Wüthrich3Theoretische Teilchenphysik, Center for Particle Physics Siegen, Physik Department, Universität SiegenTheoretische Teilchenphysik, Center for Particle Physics Siegen, Physik Department, Universität SiegenTheoretische Teilchenphysik, Center for Particle Physics Siegen, Physik Department, Universität SiegenTheoretische Teilchenphysik, Center for Particle Physics Siegen, Physik Department, Universität SiegenAbstract Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective |∆B| = 1 Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting ∆B = 0 Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio τ (B +) /τ (B d ), obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators.https://doi.org/10.1007/JHEP04(2025)081Hadronic Matrix Elements and Weak DecaysOther Weak Scale BSM ModelsBottom Quarks
spellingShingle Matthew Black
Martin Lang
Alexander Lenz
Zachary Wüthrich
HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
Journal of High Energy Physics
Hadronic Matrix Elements and Weak Decays
Other Weak Scale BSM Models
Bottom Quarks
title HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
title_full HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
title_fullStr HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
title_full_unstemmed HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
title_short HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
title_sort hqet sum rules for matrix elements of dimension six four quark operators for meson lifetimes within and beyond the standard model
topic Hadronic Matrix Elements and Weak Decays
Other Weak Scale BSM Models
Bottom Quarks
url https://doi.org/10.1007/JHEP04(2025)081
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