$B$ decay anomalies and dark matter from vectorlike confinement

Abstract

Lepton flavor universality violating $B\to K\ell \ell$ and $K^{\ast }\ell \ell$ decays tentatively observed by LHCb can be explained by leptoquark exchange. We explore a simple model for the $B$ anomalies with a composite leptoquark from new strong dynamics at the TeV scale, a confining SU($N_{\mathrm{HC}}$) hypercolor interaction. The new matter fields, fundamentals under SU($N_{\mathrm{HC}}$), are heavy vectorlike fermions $\Psi ,S,$ and an inert scalar doublet $\varphi$. $\Psi$ is colored under QCD while $S$ is neutral, and the hyperbaryon $S^N$ is a dark matter candidate. The model is tightly constrained by meson-antimeson oscillations, lepton flavor violation, and LHC searches for resonant production of the exotic bound states. The dark matter may be detectable through its magnetic dipole moment. If $m_S$ is sufficiently small, composite leptoquarks and heavy lepton partners can be pair-produced at an observable level at LHC.

18 pages, 12 figures; v.2 added references; v.3 updated meson mixing constraints and muon g-2 prediction; v.4 fixed sign error, conclusions unchanged

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