A comparative lattice analysis of SU(2)dark glueballs

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 severalβvalues,and we adopt both the traditional Monte Carlo method and flow-based model based on machine learning techniques to generate lattice configurations.The mass of a dark scalar glueball with J^(PC)=0^(++)and the Nambu-Bethe-Salpeter wave function are calculated.Using a coupling constant ofβ=2.2 as an illustration,we compare the dark glueball mass calculated from the configurations generated from the two methods.While consistent results can be achieved,the two methods demonstrate distinct advantages.Using the Runge-Kutta method,we extract the glueball interaction potential and two-body scattering cross section.From the observational constraints,we obtain the lower bound of the mass of scalar glueballs as candidates of dark matter.