Search for a Dark Higgs Boson Produced in Association with Inelastic Dark Matter at the Belle II Experiment

TL;DR

This paper reports a search for dark Higgs bosons produced with inelastic dark matter at Belle II, setting upper limits on production cross sections and mixing parameters, with no evidence of a signal found.

Contribution

First search for dark Higgs bosons in association with inelastic dark matter using Belle II data, establishing new upper limits on relevant model parameters.

Findings

No evidence for dark Higgs boson signals was observed.

Upper limits on production cross sections are set at the level of 0.1 fb.

Model-dependent limits on mixing angles are established at 10^{-5} and 10^{-3}.

Abstract

Inelastic dark matter models that have two dark matter particles and a massive dark photon can reproduce the observed relic dark matter density without violating cosmological limits. The mass splitting between the two dark matter particles $\chi_{1}$ and $\chi_{2}$, with $m(\chi_{2}) > m(\chi_{1})$, is induced by a dark Higgs field and a corresponding dark Higgs boson $h^{\prime}$. We present a search for dark matter in events with two vertices, at least one of which must be displaced from the interaction region, and missing energy. Using a $365\,\mbox{fb}^{-1}$ data sample collected at Belle II, which operates at the SuperKEKB $e^+e^-$ collider, we observe no evidence for a signal. We set upper limits on the product of the production cross section $\sigma\left(e^+e^- \to h^\prime \chi_1 \chi_2\right)$, and the product of branching fractions $\mathcal{B}\left(\chi_2\to\chi_1 e^+ e^-\right)\times\mathcal{B}\left(h^\prime\to x^+x^-\right)$, where $x^+x^-$ indicates $\mu^+\mu^-, \pi^+\pi^-$, or $K^+K^-$, as functions of $h^{\prime}$ mass and lifetime at the level of $10^{-1}\,\mbox{fb}$. We set model-dependent upper limits on the dark Higgs mixing angle at the level of $10^{-5}$ and on the dark photon kinetic mixing parameter at the level of $10^{-3}$. This is the first search for dark Higgs bosons in association with inelastic dark matter.