Leptoquark Flavor Patterns & B Decay Anomalies

Abstract

Flavor symmetries that explain masses and mixings of the standard model fermions dictate flavor patterns for the couplings of scalar and vector leptoquarks to the standard model fermions. A generic feature is that couplings to $SU(2)$-doublet leptons are suppressed at least by one spurion of the discrete non-abelian symmetry breaking, responsible for neutrino mixing, while couplings to charged lepton singlets can be order one. We obtain testable patterns including those that predominantly couple to a single lepton flavor, or two, or in a skewed way. They induce lepton non-universality, which we contrast to current anomalies in $B$-decays. We find maximal effects in $R_D$ and $R_{D^{\ast }}$ at the level of $\sim$10 percent and few percent, respectively, while leptoquark effects in $R_{K^{(\ast )}}$ can reach order few$\times 10$ percent. Predictions for charm and kaon decays and $\mu -e$ conversion are worked out.

23 pages plus references and appendices, 2 figures, v2: typos fixed, clarifications and references added; conclusions unchanged

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• Diagnosing lepton-nonuniversality in $b\to s\ell \ell$
• Scalar leptoquarks and the rare B meson decays
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• Search for third-generation scalar leptoquarks in the t-tau channel in proton-proton collisions at sqrt(s) = 8 TeV
• Phenomenology of flavon fields at the LHC

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