Dispersive approach to QCD and hadronic contributions to electroweak observables

The dispersive approach to QCD is briefly overviewed and its application to the assessment of hadronic contributions to electroweak observables is discussed.Comment: Talk given at 12th International Conference on Quark Confinement and the Hadron Spectrum, 29 August - 3 September 2016, Thessaloniki, Greece; 10 pages, 3 figure

New analytic running coupling in QCD: higher loop levels

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It is shown that at any loop level the relevant $\beta$ function has the universal behaviors at small and large values of the invariant charge. Due to this feature the new analytic running coupling possesses the universal asymptotics both in the ultraviolet and infrared regions irrespective of the loop level. The consistency of the model considered with the general definition of the QCD invariant charge is shown.Comment: LaTeX 2.09, 12 pages with 5 EPS figures, uses mpla1.sty; enlarged version is accepted for publication in Mod. Phys. Lett.

Inclusive tau lepton hadronic decay in the framework of dispersive approach to QCD

The dispersive approach to QCD and its applications to inclusive tau lepton hadronic decay and hadronic vacuum polarization function are briefly discussed.Comment: Based on talks given at the 12th Workshop on Nonperturbative QCD (10 - 13 June 2013, Paris, France) and the 16th Lomonosov Conference on Elementary Particle Physics (22 - 28 August 2013, Moscow, Russia); 4 pages, 1 figur