Test of color gauge theories in the two-photoninteractions

Abstract

The two-photon processes in the high-energy $e^+e^-$ storage rings have become an increasingly important source of hadrons as the center of mass energy $\sqrt{S}=2E$ increases. We analyzed the two-photon process in the framework of the spontaneously broken SU(3) color gauge theory. The cross section for the two high-$p_T$ hadron jets production in the two-photon process depends sensitively on the mass of the colored Higgs bosons. For the heavy colored Higgs bosons, the cross section for the two gluon jets production in the two-photon process diverges as $E^2/m^2_g$, therefore it is inconsistent with the experiments. However, for the light colored Higgs bosons, the $E^2/m^2_g$ divergences in the two gluon jets contribution are cancelled with the contribution of the colored Higgs bosons in the intermediate states of the two-photon process. Comparing with the experimental data, we can fit the experimental data of the TASSO and JADE with the gluon mass $m_g=0.1\sim 0.2GeV$ when the mass of the colored Higgs bosons $m_H$ is equal to the mass of the gluons $m_g$. But according to the mass of the colored Higgs bosons, the result may be changed slightly.