Short-distance tachyonic gluon mass and 1/Q2 corrections Original Research Article

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/Q2 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 αs(Mτ) 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.