Quark masses, CKM angles and Lepton Flavour Universality violation

Abstract

A properly defined and suitably broken $U(2)$ flavour symmetry leads to successful quantitative relations between quark mass ratios and CKM angles. At the same time the intrinsic distinction introduced by $U(2)$ between the third and the first two families of quarks and leptons may support anomalies in charged and neutral current semi-leptonic $B$-decays of the kind tentatively observed in current flavour experiments. We show how this is possible by the exchange of the $(3,1{)}_{2/3}$ vector leptoquark in two $U(2)$-models with significantly different values of Lepton Flavour Universality violation, observable in foreseen experiments.

arXiv comment19 pages, 2 figures; in v2 several points clarified, no change of results, matches published version

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• Strong CP problem with low-energy emergent QCD: The 4321 case
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• Minimal Froggatt-Nielsen Textures
• Explaining $b\to s{\ell }^{+}{\ell }^{-}$ data by sneutrinos in the $R$-parity violating MSSM
• Neutrino Observables from a U(2) Flavor Symmetry
• Flavour anomalies meet flavour symmetry