Correlating the anomalous results in $b \to s$ decays with inert Higgs doublet dark matter and muon $(g-2)$

TL;DR

This paper proposes an extended inert Higgs doublet model with vector-like fermions that simultaneously explains anomalies in $b o s$ decays and muon $(g-2)$, while remaining consistent with dark matter constraints and collider searches.

Contribution

The paper introduces a novel inert Higgs doublet extension with singlet fermions that links flavor anomalies, muon $(g-2)$, and dark matter in a unified framework.

Findings

Model explains $b o s$ anomalies and muon $(g-2)$

Compatible with dark matter detection constraints

Predicts collider signatures for future LHC searches

Abstract

In this article, we have considered an extension of the inert Higgs doublet model with $SU(2)_L$ singlet vector like fermions. Our model is capable of addressing some interesting anomalous results in $b\to s\ell^+\ell^-$ decays (like $R(K^{(*)})$) and in muon $(g-2)$. Apart from explaining these anomalies, and being consistent with other flavour data, the model satisfies relevant constraints in the dark matter sector, while remaining within the reach of ongoing direct detection experiments. The model also produces signatures at the large hadron collider (LHC) with final states comprised of dilepton, dijet and missing energy, providing signals to be probed at higher luminosity.