Abstract
We analyze the class of models with an extra U(1)X gauge symmetry that can account for the b → sℓℓ anomalies by modifying the Wilson coefficients C9e and C9μ of the operators \( {O}_{9\mathrm{\ell}}\equiv \left(\overline{b}{\gamma}_{\mu }{P}_Ls\right)\left(\overline{\mathrm{\ell}}{\gamma}^{\mu}\mathrm{\ell}\right) \) from their standard model values. At the same time, these models generate appropriate quark mixing, and give rise to neutrino mixing via the Type-I seesaw mechanism. Apart from the gauge boson Z′, these frugal models only have three right-handed neutrinos for the seesaw mechanism, an additional SU(2)L scalar doublet for quark mixing, and a SM-singlet scalar that breaks the U(1)X symmetry. This set-up identifies a class of leptonic symmetries, and necessitates non-zero but equal charges for the first two quark generations. If the quark mixing beyond the standard model were CKM-like, all these symmetries would be ruled out by the latest flavor constraints on Wilson coefficients and collider constraints on Z′ parameters. However, we identify a single-parameter source of non-minimal flavor violation that allows a wider class of U(1)X symmetries to be compatible with all data. We show that the viable leptonic symmetries have to be of the form Le ± 3Lμ − Lτ or Le − 3Lμ + Lτ, and determine the (MZ′, gZ′) parameter space that may be probed by the high-luminosity data at the LHC.
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Bhatia, D., Desai, N. & Dighe, A. Frugal U(1)X models with non-minimal flavor violation for b → sℓℓ anomalies and neutrino mixing. J. High Energ. Phys. 2022, 163 (2022). https://doi.org/10.1007/JHEP04(2022)163
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DOI: https://doi.org/10.1007/JHEP04(2022)163