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On the correlations between flavour observables in minimal U(2)3 models

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Abstract

We point out a number of correlations between flavour observables present in a special class of models, to be called MU(2)3, with an approximate global U(2)3 flavour symmetry, constrained by a minimal set of spurions governing the breakdown of this symmetry. In this framework only Standard Model (SM) operators are relevant in ΔF = 2 transitions. While the New Physics contributions to ε K have the same pattern as in models with constrained Minimal Flavour Violation (CMFV), the CP-violation induced by \( B_{s,d}^0-\overline{B}_{s,d}^0 \) mixings can deviate from the one in the SM and CMFV models. But these deviations in the \( B_d^0 \) and \( B_s^0 \) systems are strictly correlated by the U(2)3 symmetry with each other. The most important result of our paper is the identification of a stringent triple \( {S_{{\psi {K_S}}}}-{S_{{\psi \phi }}}-\left| {Vub} \right| \) correlation in this class of models that constitutes an important test for them and in this context allows to determine |V ub | by means of precise measurements of \( {S_{{\psi {K_S}}}} \) and S Ψϕ with only small hadronic uncertainties. We also find that MU(2)3 models can in principle accommodate both positive and negative values of S Ψϕ , but in the latter case |V ub | has to be found in the ballpark of its exclusive determinations and the particular MU(2)3 model must provide a 20% enhancement of |ε K |. As in this class of models |ε K | can only be enhanced, this requirement can in principle naturally be satisfied, although it depends on the model considered. We provide an example of a supersymmetric MU(2)3 model that appears to satisfy these requirements. We summarize briefly the pattern of flavour violation in rare K and B s,d decays in MU(2)3 and compare it with the one found in CMFV models.

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  1. Physik Department, Technische Universität München, D-85748, Garching, Germany

    Andrzej J. Buras & Jennifer Girrbach

  2. TUM-IAS, Lichtenbergstr. 2a, D-85748, Garching, Germany

    Andrzej J. Buras & Jennifer Girrbach

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Buras, A.J., Girrbach, J. On the correlations between flavour observables in minimal U(2)3 models. J. High Energ. Phys. 2013, 7 (2013). https://doi.org/10.1007/JHEP01(2013)007

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