Lattice simulation of $SU(2)$ dark glueball with machine learning

Author:

Min-Huan Chu, Jun-Hui Lai, Wei Wang, Jialu Zhang, Qianteng Zhu

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), High Energy Physics - Phenomenology (hep-ph)

journal:

date:

2024-02-06 00:00:00

Abstract

We study the mass and scattering cross section of $SU(2)$ glueballs as dark matter candidates using lattice simulations. We employ both naive and improved $SU(2)$ gauge actions in $3+1$ dimensions with several $\beta$ values, and adopt both the tranditional Monte Carlo method and the flow-based model based on machine learning techniques to generate lattice configurations. The mass of the scalar glueball with $J^{PC}=0^{++}$ and the NBS wave function are calculated. Using the Runge-Kutta method, we extract the glueball interaction potential and scattering cross section. From the observational constraints, we obtain the lower bound of the mass of scalar glueball candidates as potential components of dark matter.

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