Glueball scattering cross section in lattice SU(2) Yang-Mills theory [CL]

http://arxiv.org/abs/1910.07756


We calculate the scattering cross section between $0^{++}$ glueballs of the SU(2) Yang-Mills theory on lattice using the indirect (HAL QCD) method. We employ the cluster-decomposition error reduction technique and use all space-time symmetries to improve the signal. The relation between the interglueball cross section and the scale parameter $\Lambda$ is determined as $\sigma_{\phi \phi}$ = (3.5 – 8.0) $\Lambda^{-2}$ (stat.+sys.). From the observational constraints of galactic collisions, we obtain the lower bound $\Lambda$ > 60 MeV. We also discuss the naturalness of the Yang-Mills theory as the theory explaining dark matter.

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N. Yamanaka, H. Iida, A. Nakamura, et. al.
Fri, 18 Oct 19
62/77

Comments: 9 pages, 9 figures. Full paper of the letter arXiv:1910.01440 [hep-ph]