Inclusive τ lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD

Abstract

The dispersive approach to QCD, which properly embodies the intrinsically nonperturbative constraints originating in the kinematic restrictions on relevant physical processes and extends the applicability range of perturbation theory towards the infrared domain, is briefly overviewed. The study of OPAL (update 2012) and ALEPH (update 2014) experimental data on inclusive τ lepton hadronic decay in vector and axial-vector channels within dispersive approach is presented.

Renormalon-motivated evaluation of QCD observables

“…In such dispersive approaches, nonperturbative contributions are naturally generated in the couplings A(Q 2 ) and A n (Q 2 ). Similar kind of dispersive approaches can be applied also directly to the spacelike QCD observables D(Q 2 ) [33,40,[50][51][52][53][54][55][56], i.e., without referring to the coupling.…”