Dispersive approach to QCD and inclusive tau lepton hadronic decay

TL;DR

This paper applies a dispersive approach to QCD to analyze inclusive tau lepton hadronic decay, effectively incorporating nonperturbative effects and hadronization to match experimental data.

Contribution

It introduces unified integral representations that include nonperturbative constraints and hadronization effects for analyzing tau decay within QCD.

Findings

Successfully describes ALEPH and OPAL experimental data

Provides consistent QCD scale parameter values across channels

Demonstrates the approach's capability for low-energy strong interaction analysis

Abstract

The dispersive approach to QCD is applied to the study of the inclusive tau lepton hadronic decay. This approach 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 a valuable role in the analysis 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 the QCD scale parameter obtained in both channels testifies to the potential ability of the developed approach to describe the aforementioned data in a self-consistent way.