331 model predictions for rare B and K decays, and ∆F = 2 processes: an update

Abstract Motivated by the improved results from the HPQCD lattice collaboration on the hadronic matrix elements entering ∆M s,d in B s , d 0 − B ¯ s , d 0 $$ {B}_{s,d}^0-{\overline{B}}_{s,d}^0 $$ mixings and the increase of the experimental branching ratio for B s → μ + μ − , we update our 2016 anal...

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Main Authors: Andrzej J. Buras, Fulvia De Fazio
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2023)219
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author Andrzej J. Buras
Fulvia De Fazio
author_facet Andrzej J. Buras
Fulvia De Fazio
author_sort Andrzej J. Buras
collection DOAJ
description Abstract Motivated by the improved results from the HPQCD lattice collaboration on the hadronic matrix elements entering ∆M s,d in B s , d 0 − B ¯ s , d 0 $$ {B}_{s,d}^0-{\overline{B}}_{s,d}^0 $$ mixings and the increase of the experimental branching ratio for B s → μ + μ − , we update our 2016 analysis of various flavour observables in four 331 models, M1, M3, M13 and M16 based on the gauge group SU(3) C × SU(3) L × U(1) X . These four models, which are distinguished by the quantum numbers, are selected among 24 331 models through their consistency with the electroweak precision tests and simultaneously by the relation C 9 NP = − bC 10 NP $$ {C}_9^{\textrm{NP}}=-{bC}_{10}^{\textrm{NP}} $$ with 2 ≤ b ≤ 5, which after new result on B s → μ + μ − from CMS is favoured over the popular relation C 9 NP = − C 10 NP $$ {C}_9^{\textrm{NP}}=-{C}_{10}^{\textrm{NP}} $$ predicted by several leptoquark models. In this context we investigate in particular the dependence of various observables on |V cb |, varying it in the broad range [0.0386, 0.043], that encompasses both its inclusive and exclusive determinations. Imposing the experimental constraints from ε K , ∆M s , ∆M d and the mixing induced CP asymmetries S ψ K S $$ {S}_{\psi {K}_S} $$ and S ψ K S $$ {S}_{\psi {K}_S} $$ , we investigate for which values of |V cb | the four models can be made compatible with these data and what is the impact on B and K branching ratios. In particular we analyse NP contributions to the Wilson coefficients C 9 and C 10 and the decays B s,d → μ + μ − , K + → π + ν ν ¯ $$ {K}^{+}\to {\pi}^{+}\nu \overline{\nu} $$ and K L → π 0 ν ν ¯ $$ {K}_L\to {\pi}^0\nu \overline{\nu} $$ . This allows us to illustrate how the value of |V cb | determined together with other parameters of these models is infected by NP contributions and compare it with the one obtained recently under the assumption of the absence of NP in ε K , ∆M s , ∆M d and S ψ K S $$ {S}_{\psi {K}_S} $$ .
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spelling doaj.art-c0991238d1454d3885ea28f0b93e760a2023-06-25T11:06:01ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312110.1007/JHEP03(2023)219331 model predictions for rare B and K decays, and ∆F = 2 processes: an updateAndrzej J. Buras0Fulvia De Fazio1TUM Institute for Advanced StudyIstituto Nazionale di Fisica Nucleare, Sezione di BariAbstract Motivated by the improved results from the HPQCD lattice collaboration on the hadronic matrix elements entering ∆M s,d in B s , d 0 − B ¯ s , d 0 $$ {B}_{s,d}^0-{\overline{B}}_{s,d}^0 $$ mixings and the increase of the experimental branching ratio for B s → μ + μ − , we update our 2016 analysis of various flavour observables in four 331 models, M1, M3, M13 and M16 based on the gauge group SU(3) C × SU(3) L × U(1) X . These four models, which are distinguished by the quantum numbers, are selected among 24 331 models through their consistency with the electroweak precision tests and simultaneously by the relation C 9 NP = − bC 10 NP $$ {C}_9^{\textrm{NP}}=-{bC}_{10}^{\textrm{NP}} $$ with 2 ≤ b ≤ 5, which after new result on B s → μ + μ − from CMS is favoured over the popular relation C 9 NP = − C 10 NP $$ {C}_9^{\textrm{NP}}=-{C}_{10}^{\textrm{NP}} $$ predicted by several leptoquark models. In this context we investigate in particular the dependence of various observables on |V cb |, varying it in the broad range [0.0386, 0.043], that encompasses both its inclusive and exclusive determinations. Imposing the experimental constraints from ε K , ∆M s , ∆M d and the mixing induced CP asymmetries S ψ K S $$ {S}_{\psi {K}_S} $$ and S ψ K S $$ {S}_{\psi {K}_S} $$ , we investigate for which values of |V cb | the four models can be made compatible with these data and what is the impact on B and K branching ratios. In particular we analyse NP contributions to the Wilson coefficients C 9 and C 10 and the decays B s,d → μ + μ − , K + → π + ν ν ¯ $$ {K}^{+}\to {\pi}^{+}\nu \overline{\nu} $$ and K L → π 0 ν ν ¯ $$ {K}_L\to {\pi}^0\nu \overline{\nu} $$ . This allows us to illustrate how the value of |V cb | determined together with other parameters of these models is infected by NP contributions and compare it with the one obtained recently under the assumption of the absence of NP in ε K , ∆M s , ∆M d and S ψ K S $$ {S}_{\psi {K}_S} $$ .https://doi.org/10.1007/JHEP03(2023)219CKM ParametersRare DecaysSpecific BSM Phenomenology
spellingShingle Andrzej J. Buras
Fulvia De Fazio
331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
Journal of High Energy Physics
CKM Parameters
Rare Decays
Specific BSM Phenomenology
title 331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
title_full 331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
title_fullStr 331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
title_full_unstemmed 331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
title_short 331 model predictions for rare B and K decays, and ∆F = 2 processes: an update
title_sort 331 model predictions for rare b and k decays and ∆f 2 processes an update
topic CKM Parameters
Rare Decays
Specific BSM Phenomenology
url https://doi.org/10.1007/JHEP03(2023)219
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