Gluon-mass effects in quarkonia decays, $e^+e^-$ annihilation and the scalar glueball current

Abstract

In this paper we continue previous efforts in the literature to determine phenomenological values for the gluon mass by confronting theoretical results obtained in a theory of massive gluons with experimental values or results directly referring to the nontrivial structure of the Yang-Mills vacuum, e.g. to the presence of the gluon condensate. The decays of heavy quarkonia into 3 gluons and 2 gluons + photon are considered in detail as well as the correlators of the electromagnetic current and the scalar glueball current. Based on the analysis for the latter quantities a value for the gluon mass in the range of 500-600 MeV is estimated from the standard SVZ-value of the gluon condensate.