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

2019/10/31 by Nodoka Yamanaka, Hideaki Iida, Atsushi Nakamura +1 · 2 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Gauge theory #Glueball #Lambda #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Scattering #astro-ph.CO #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.102.054507

published as Phys. Rev. D 102, 054507 (2020) · 21 pages, 11 figures. Full paper of the letter arXiv:1910.01440 [hep-ph]. Interglueball potential changed after revision

openalex created_date 2019/10/25 · arxiv created 2020/08/28 · openalex publication_date 2020/09/15 · arxiv updated 2020/09/23 · openalex updated_date 2026/08/05

Abstract

We calculate the scattering cross section between two 0⁺⁺ glueballs in SU(2) Yang-Mills theory on a lattice at \ensuremathβ=2.1, 2.2, 2.3, 2.4, and 2.5 using the indirect (HAL QCD) method. We employ the cluster-decomposition error reduction technique and use all space-time symmetries to improve the signal. In the use of the HAL QCD method, the centrifugal force was subtracted to remove the systematic effect due to the nonzero angular momenta of lattice discretization. From the extracted interglueball potential, we determine the low energy glueball effective theory by matching with the one-glueball exchange process. We then calculate the scattering phase shift and derive the relation between the interglueball cross section and the scale parameter \mathrm\ensuremathΛ as \ensuremathσ_\ensuremathφ\ensuremathφ=(2--51)\mathrm\ensuremathΛ^\ensuremath-2 (stat+sys). From the observational constraints of galactic collisions, we obtain the lower bound of the scale parameter as \mathrm\ensuremathΛ>60 MeV. We also discuss the naturalness of the Yang-Mills theory as the theory explaining dark matter.

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