1306.4970 (A. V. Nesterenko)

Dispersive approach to QCD and inclusive tau lepton hadronic decay    [PDF]

A. V. Nesterenko

Theoretical description of the inclusive tau lepton hadronic decay is performed in the framework of dispersive approach to QCD. The latter provides the unified integral representations for the hadronic vacuum polarization function, related R-function, and Adler function. These representations account for the intrinsically nonperturbative constraints, which originate in the kinematic restrictions on the functions on hand, and retain the effects due to hadronization, which play valuable role in the studies of the strong interaction processes at low energies. The dispersive approach proves to be capable of describing recently updated ALEPH and OPAL experimental data on inclusive tau lepton hadronic decay in vector and axial-vector channels. The vicinity of values of QCD scale parameter obtained in both channels testifies to the self-consistency of the developed approach.

View original: http://arxiv.org/abs/1306.4970