Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels

TL;DR

This paper develops a dispersive approach to QCD that extends perturbation theory into the infrared region, successfully describing tau lepton decay data in vector and axial-vector channels.

Contribution

It introduces a dispersive method that incorporates nonperturbative constraints, improving the description of low-energy strong interaction processes in tau decays.

Findings

Successfully describes OPAL and ALEPH tau decay data

Accounts for nonperturbative effects in low-energy QCD

Extends perturbation theory applicability to infrared domain

Abstract

The dispersive approach to QCD, which extends the applicability range of perturbation theory towards the infrared domain, is developed. This approach properly accounts for the intrinsically nonperturbative constraints, which originate in the low-energy kinematic restrictions on pertinent strong interaction processes. The dispersive approach proves to be capable of describing OPAL (update 2012) and ALEPH (update 2014) experimental data on inclusive tau lepton hadronic decay in vector and axial-vector channels in a self-consistent way.