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

• Received 8 September 2019
• Accepted 16 January 2020

DOI:https://doi.org/10.1103/PhysRevD.101.035010

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society