Short-distance tachyonic gluon mass and 1/ Q2 corrections

Abstract

We consider the assumption that a tachyonic gluon mass imitates short-distance non-perturbative physics of QCD. The phenomenological implications include modifications of the QCD sum rules for correlators of currents with various quantum numbers. The new 1/ Q 2 terms allow us to resolve in a natural way old puzzles in the pion and scalar-gluonium channels. They lead to a slight reduction of the values of the running light quark masses from the (pseudo)scalar sum rules and of α s ( M τ ) from τ decay data. Analogously such terms only affect slightly the determinations of the running strange quark mass from e + e − and τ decay data. Further tests can be provided by precision measurements of the correlators on the lattice and by the e + e − → hadrons data.