Resolving the $(g-2{)}_{\mu }$ and $B$ anomalies with leptoquarks and a dark Higgs boson

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 $S\gamma \gamma$ 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 $m_S\sim 10-200\text{MeV}$, a consistent resolution to all of the anomalies exists. The model predicts interesting new decays, such as $B\to K^{(\ast )}{e}^{+}{e}^{-}$, $B\to K^{(\ast )}\gamma \gamma$, $K\to \pi \gamma \gamma$, and $h\to \gamma \gamma \gamma \gamma$, with branching fractions not far below current bounds.

Comments: 25 pages, 7 figures. Matches published version