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Simultaneous explanation of the R K and \( {R}_{D^{\left(*\right)}} \) puzzles: a model analysis

Journal of High Energy Physics volume 2017, Article number: 15 (2017) Cite this article

A preprint version of the article is available at arXiv.

Abstract

R K and \( {R}_{D^{\left(*\right)}} \) are two B-decay measurements that presently exhibit discrepancies with the SM. Recently, using an effective field theory approach, it was demonstrated that a new-physics model can simultaneously explain both the R K and \( {R}_{D^{\left(*\right)}} \) puzzles. There are two UV completions that can give rise to the effective Lagrangian: (i) V B: a vector boson that transforms as an SU(2) L triplet, as in the SM, (ii) U 1: an SU(2) L -singlet vector leptoquark. In this paper, we examine these models individually. A key point is that V B contributes to \( {B}_s^0\hbox{-} {\overline{B}}_s^0 \) mixing and τ → 3μ, while U 1 does not. We show that, when constraints from these processes are taken into account, the V B model is just barely viable. It predicts \( \mathrm{\mathcal{B}}\left({\tau}^{-}\to {\mu}^{-}{\mu}^{+}{\mu}^{-}\right)\simeq 2.1\times {10}^{-8} \). This is measurable at Belle II and LHCb, and therefore constitutes a smoking-gun signal of V B. For U 1, there are several observables that may point to this model. Perhaps the most interesting is the lepton-flavor-violating decay Y(3S) → μτ, which has previously been overlooked in the literature. U 1 predicts \( {\left.\mathrm{\mathcal{B}}\left(\varUpsilon (3S)\to \mu \tau \right)\right|}_{\max }=8.0\times 1{0}^{-7} \). Thus, if a large value of \( \mathrm{\mathcal{B}}\left(\varUpsilon (3S)\to \mu \tau \right) \) is observed — and this should be measurable at Belle II — the U 1 model would be indicated.

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  1. Physique des Particules, Université de Montréal, C.P. 6128, succ. centre-ville, Montréal, QC, H3C 3J7, Canada

    Bhubanjyoti Bhattacharya, Jean-Pascal Guévin, David London & Ryoutaro Watanabe

  2. Department of Physics and Astronomy, Wayne State University, Detroit, MI, 48201, U.S.A.

    Bhubanjyoti Bhattacharya

  3. Department of Physics and Astronomy, University of Mississippi, 108 Lewis Hall, Oxford, MS, 38677-1848, U.S.A.

    Alakabha Datta

  4. Department of Physics and Astronomy, 2505 Correa Rd, University of Hawaii, Honolulu, Hi, 96826, U.S.A.

    Alakabha Datta

  5. Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon, 305-811, Republic of Korea

    Ryoutaro Watanabe

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  1. Bhubanjyoti Bhattacharya
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Bhattacharya, B., Datta, A., Guévin, JP. et al. Simultaneous explanation of the R K and \( {R}_{D^{\left(*\right)}} \) puzzles: a model analysis. J. High Energ. Phys. 2017, 15 (2017). https://doi.org/10.1007/JHEP01(2017)015

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Keywords

  • Phenomenological Models