# A model of spontaneous $CP$ breaking at low scale

## TL;DR

This paper proposes a $CP$ symmetric model with spontaneous $CP$ breaking at TeV scale, introducing new symmetric gauge and fermion sectors, and discusses its implications for Higgs fine-tuning, dark matter, and flavor anomalies.

## Contribution

It presents a novel $CP$ symmetric model with spontaneous breaking at TeV scale, including an ultraviolet completion and phenomenological implications.

## Key findings

- Higgs mass fine-tuning is reduced up to ~6 TeV
- Potential dark matter candidate with bounded mass
- Possible explanation for flavor anomalies

## Abstract

We introduce a $CP$ symmetric model where masses of fermions are given by dimensional-5 operators, and $CP$ is spontaneously broken at TeV scale. The unique feature of the model is that new $CP$ symmetric gauge sector coexists with new $CP$ symmetric fermions simultaneously at TeV scale. An ultraviolet completion of the model is also proposed. It is observed that the fine-tuning of the SM Higgs boson mass in this model is softened in a relatively small amount approximately upto $6$ TeV. Other interesting consequences are presence of a possible dark matter candidate whose mass may be bounded from above by the SM Higgs mass. The model may also provide an explanation of recently observed flavour anomalies.