$\Psi$DM and the Bullet Cluster: Couple Inflaton to Higgs Field

TL;DR

This paper extends electroweak theory by coupling the inflaton to the Higgs, predicting a light boson that could explain Bullet Cluster dark matter observations and suggesting a production mechanism.

Contribution

It introduces a new gauge extension with a light boson, linking inflaton-Higgs coupling to dark matter and cluster observations.

Findings

Predicts an extremely light boson $Y_{}$ as wave-like dark matter.

Provides a potential explanation for Bullet Cluster observations.

Discusses a possible production mechanism for the light boson.

Abstract

Electroweak theory is extended to $SU_L(2)\times U_Y(1)\times U_{\phi}(1)$, where $U_{\phi}(1)$ comes from the coupling of inflaton field to Higgs field. There arises an extremely light boson, $Y_{\mu}$. We resemble it as the wavelike dark matter, $\Psi$DM, through the dynamical analysis. The interactions of $Y_{\mu}$ may provide an explanation for the Bullet Cluster observations. Besides, a possible mechanism to produce $Y_{\mu}$ is discussed.