Palatable leptoquark scenarios for lepton flavor violation in exclusive b → sℓ1ℓ2 modes

We examine various scenarios that involve a light O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(1 TeV) leptoquark state and select those which are compatible with the current experimental values for ℬ(Bs → μμ), ℬB→Kμμlarge−q2,RK=ℬ′B→Kμμ/ℬ′B→Kee\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathrm{\mathcal{B}}{\left(B\to K\mu \mu \right)}_{\mathrm{large}-{q}^2},{R}_K={\mathrm{\mathcal{B}}}^{\prime}\left(B\to K\mu \mu \right)/{\mathrm{\mathcal{B}}}^{\prime}\left(B\to Kee\right) $$\end{document}, and which lead to predictions consistent with other experimental data. We show that two such scenarios are phenomenologically plausible, namely the one with a doublet of scalar leptoquarks of hypercharge 1/6, and the one with a triplet of vector leptoquarks of hypercharge 2/3. We also argue that a model with a singlet scalar leptoquark of hypercharge 1/3 is not viable. Using the present experimental data as constraints, it is shown that the exclusive lepton flavor violating decays, ℬ(Bs → μτ), ℬ(B → Kμτ) and ℬ(B → K∗μτ), can be as large as O10−5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O}\left(1{0}^{-5}\right) $$\end{document}.