## Abstract

We investigate how the 331 models, based on the gauge group SU(3) _{C} × SU(3)_{L} × U(1)_{X} face new data on B_{s,d} → μ^{+}μ^{-} and B_{d} → K*(K)μ+μ? taking into account present constraints from δF = 2 observables, low energy precision measurements, LEP-II and the LHC data. In these models new sources of flavour and CP violation originate dominantly through flavour violating interactions of ordinary quarks and leptons with a new heavy Z0 gauge boson. The strength of the relevant couplings is governed by four new parameters in the quark sector and the parameter β which in these models determines the charges of new heavy fermions and gauge bosons. We study the implications of these models for β = ±n/√3 with n = 1, 2, 3. The case β = ?√3 leading to Landau singularities for MZ′ ≈ 4 TeV can be ruled out when the present constraints on Z0 couplings, in particular from LEP-II, are taken into account. For n = 1, 2 interesting results are found for MZ′ < 4 TeV with largest NP effects for β < 0 in B_{d} → K*μ ^{+}μ^{-} and the ones in B_{s,d} → μ^{+}μ^{-} for β > 0. As Re(C^{NP} _{9} ) can reach the values ?0.8 and ?0.4 for n = 2 and n = 1, respectively the B_{d} → K*μ^{+}μ^{-} anomalies can be softened with the size depending on δM _{s}/(δM_{s})_{SM} and the CP-asymmetry S _{ψφ}. A correlation between Re(C^{NP}_{9} ) and B̄(B_{s} → μ^{+}μ^{-}), identified for β < 0, implies for negative Re(C^{NP}_{9} ) uniquely suppression of B̄(B_{s} → μ^{+}μ^{-}) relative to its SM value which is favoured by the data. In turn also S _{ψφ} < S_{SMψφ} is favoured with S_{ψφ} having dominantly opposite sign to S^{SM} _{ψφ} and closer to its central experimental value. Another triple correlation is the one between Re(C^{NP}_{9} ), B̄(B_{s} → μ^{+}μ^{-}) and B̄(B_{d} → Kμ^{+}μ^{-}). NP effects in b → svv̄ transitions, K^{+} → π^{o}+vv̄ and K_{L} → π^{0}vv̄ turn out to be small. We find that the absence of B_{d} → K*μ^{+}μ ^{-} anomalies in the future data and confirmation of the suppression of B̄(B_{s} → μ^{+}μ^{-}) relative to its SM value would favour β = 1/√3 and MZ′ ≈ 3 TeV Assuming lepton universality, we find an upper bound |C^{NP}_{9} | ≤ 1.1(1.4) from LEP-II data for all Z0 models with only left-handed flavour violating couplings to quarks when NP contributions to δMs at the level of 10%(15%) are allowed.

Original language | English |
---|---|

Article number | 112 |

Journal | Journal of High Energy Physics |

Volume | 2014 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2014 |

## Keywords

- B-Physics
- Beyond Standard Model
- Rare Decays

## Fingerprint

Dive into the research topics of '331 models facing new b → sμ^{+}μ

^{-}data'. Together they form a unique fingerprint.