331 models facing new b → sμ+μ− data

By Andrzej Buras, F. Fazio, J. Girrbach. 2013

238 citations recorded by the source corpus.

A bstractWe investigate how the 331 models, based on the gauge group SU(3)C × SU(3)L × U(1)X face new data on Bs,d → μ+μ− and Bd → 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 Z′ 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 $ \beta ={{{\pm n}} \left/ {{\sqrt{3}}} \right.} $ with n = 1, 2, 3. The case $ \beta =-\sqrt{3} $ leading to Landau singularities for MZ′ ≈ 4 TeV can be ruled out when the present constraints on Z′ couplings, in particular from LEP-II, are taken into account. For n = 1, 2 interesting results are found for MZ′< 4TeV with largest NP effects for β < 0 in Bd → K∗μ+μ− and the one sin Bs,d → μ+μ− for β > 0. As $ \mathrm{Re}\left( {\mathrm{C}_9^{\mathrm{NP}}} \right) $ can reach the values −0.8and −0.4for n = 2and n = 1, respectively the Bd → K∗μ+μ− anomalies can be softened with the size depending on ΔMs/(ΔMs)SM and the CP-asymmetry Sψϕ. A correlation between $ \mathrm{Re}\left( {\mathrm{C}_9^{\mathrm{NP}}} \right) $ and $ \overline{\mathcal{B}}\left( {{B_s}\to {\mu^{+}}{\mu^{-}}} \right) $, identified for β < 0,implies for negative$ \mathrm{Re}\left( {\mathrm{C}_9^{\mathrm{NP}}} \right) $ uniquely suppression of $ \overline{\mathcal{B}}\left( {{B_s}\to {\mu^{+}}{\mu^{-}}} \right) $ relative to its SM value which is favoured by the data. In turn also Sψϕ < $ S_{{\psi \phi}}^{\mathrm{SM}} $ is favoured with Sψϕ having dominantly opposite sign to $ S_{{\psi \phi}}^{\mathrm{SM}} $ and closer to its central experimental value. Another triple correlation is the one between $ \mathrm{Re}\left( {\mathrm{C}_9^{\mathrm{NP}}} \right) $, $ \overline{\mathcal{B}}\left( {{B_s}\to {\mu^{+}}{\mu^{-}}} \right) $ and $ \mathcal{B}\left( {{B_d}\to K{\mu^{+}}{\mu^{-}}} \right) $. NP effects in $ b\to s\nu \overline{\nu} $ transitions, $ {K^{+}}\to {\pi^{+}}\nu \overline{\nu} $ and $ {K_L}\to {\pi^0}\nu \overline{\nu} $ turn out to be small. We find that the absence of Bd → K*μ+μ− anomalies in the future data and confirmation of the suppression of $ \overline{\mathcal{B}}\left( {{B_s}\to {\mu^{+}}{\mu^{-}}} \right) $ relative to its SM value would favour $ \beta ={1 \left/ {{\sqrt{3}}} \right.} $ and MZ′ ≈ 3 TeV. Assuming lepton universality, we find an upper bound $ \left| {C_9^{\mathrm{NP}}} \right| $ ≤ 1.1(1.4) from LEP-II data for all Z′ models with only left-handed flavour violating couplings to quarks when NP contributions to ΔMs at the level of 10%(15%) are allowed.

Subfields: Artificial Intelligence, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/894a3121f34602ce128b025b331205aeabc9b1cf

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Citations in the corpus

Patterns of flavour violation in models with vector-like quarks (2016, result): “In a sense, as more explicitly seen in the next section, the flavour structure of VLQ models has some parallels to the one in 331 models [37,56,57,65].”
On the anomalies in the latest LHCb data (2016, unknown): “01] 〈S5(B → Kμμ)〉/〈S5(B → Kee)〉q2∈[15,19](GeV)2 [0.”