Resolving the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math> anomalies with leptoquarks and a dark Higgs boson
Alakabha Datta, Jonathan L. Feng, Saeed Kamali, Jacky Kumar
Abstract
At present, there are outstanding discrepancies between standard model predictions and measurements of the muon's $g\ensuremath{-}2$ 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 $S\ensuremath{\gamma}\ensuremath{\gamma}$ coupling, which contributes to the muon's $g\ensuremath{-}2$ through a Barr-Zee diagram. We show that, for TeV-scale leptoquarks and dark Higgs boson masses ${m}_{S}\ensuremath{\sim}10--200\text{ }\text{ }\mathrm{MeV}$, a consistent resolution to all of the anomalies exists. The model predicts interesting new decays, such as $B\ensuremath{\rightarrow}{K}^{(*)}{e}^{+}{e}^{\ensuremath{-}}$, $B\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\gamma}\ensuremath{\gamma}$, $K\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\gamma}\ensuremath{\gamma}$, and $h\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\gamma}$, with branching fractions not far below current bounds.