Experimental Evidence of Non-Baryonic Dark Matter in High Energy Physics

Abstract

If most of the universe is made of baryons, we encounter a serious contradiction in explaining the observed structure formulation. Therefore, we need non-baryonic dark matter to comprise the universe. In a previous paper, the present author proposed an infinite sub-layer quark model in which there exists an infinite number of up quark qu (∞) and down quark qd (∞) at an infinite sub-layer level. These quarks have non-baryon quantum number with one-half electric charge. Thus, qu (∞) and qd (∞) quarks are candidates for the non-baryonic dark matter. It is then shown that CP is violated only in the doublet of qu (∞) and qd (∞) quarks to account for the asymmetry of the number of particles and anti-particles in the present universe. It should be emphasized that if the internal space of qu (∞) and qd (∞) quarks in the first generation is a noncommutative geometry, CP violation can be explained without increasing the number of particles and generations. Thus, a pair of an infinite number of qu (∞) and qd (∞) quarks would be produced in the first moments after the Big Bang and form the hadrons including the nucleons and remain as the non-baryonic cold dark matter for all time. From the qf (∞) quarks with the flavors f = u, d, s, c, t, and b, we compared our prediction value of the cross-section ratio R with the experimental values. We obtained the theoretical branching ratio R = 15/4 = 3.75 which is in good agreement with the experimental values from 12.00 GeV to 46.47 GeV in electron-positron annihilation into muon pairs and quark pairs.