# Impact of the $b \to s ll$ anomalies on dark matter physics

## TL;DR

This paper explores how extended Standard Model theories with vector-like fermions, introduced to explain $b o s ll$ anomalies, also impact dark matter properties and detection prospects, revealing correlations between flavor physics and dark matter observables.

## Contribution

It introduces a model linking $b o s ll$ anomalies with dark matter physics, analyzing the correlations between flavor observables and dark matter detection.

## Key findings

- Predictions of $b o s ll$ anomalies correlate with dark matter direct detection signals.
- Large Yukawa couplings influence both flavor anomalies and dark matter properties.
- Explicit relationships are established between flavor physics observables and dark matter detection cross sections.

## Abstract

Recently, the LHCb collaboration has reported the excesses in the $b \to s ll$ processes. One of the promising candidates for new physics to explain the anomalies is the extended Standard Model (SM) with vector-like quarks and leptons. In that model, Yukawa couplings between the extra fermions and SM fermions are introduced, adding extra scalars. Then, the box diagrams involving the extra fields achieve the $b \to s ll$ anomalies. It has been known that the excesses require the large Yukawa couplings of leptons, so that this kind of model can be tested by studying correlations with other observables. In this paper, we consider the extra scalar to be a dark matter (DM) candidate, and investigate DM physics as well as the flavor physics and the LHC physics. The DM relic density and the direct-detection cross section are also dominantly given by the Yukawa couplings, so that we find some explicit correlations between DM physics and the flavor physics. In particular, we find the predictions of the $b \to s ll$ anomalies against the direct detection of DM.