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Resolving the $(g-2)_\mu$ and $B$ Anomalies with Leptoquarks and a Dark Higgs Boson

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(2019)cite arxiv:1908.08625Comment: 25 pages, 7 figures.

Abstract

At present there are outstanding discrepancies between standard model predictions and measurements of the muon's $g-2$ and several $B$ meson properties. We resolve these anomalies by considering a two-Higgs-doublet model extended to include leptoquarks and a dark Higgs boson $S$. The leptoquarks modify $B$ meson decays and also induce an $S \gamma$ coupling, which contributes to the muon's $g-2$ through a Barr-Zee diagram. We show that, for TeV-scale leptoquarks and dark Higgs boson masses $m_S \sim 10-200~MeV$, a consistent resolution to all of the anomalies exists. The model predicts interesting new decays, such as $B K^(*) e^+ e^-$, $B \to K^(*) \gamma$, $K \gamma$, and $h \gamma \gamma$, with branching fractions not far below current bounds.

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