On the low-energy behavior of the Adler function

TL;DR

This paper investigates the infrared behavior of the Adler function using a new integral representation, demonstrating agreement with experimental data across all energies and applying the approach to tau lepton decay analysis.

Contribution

Introduces a novel integral representation for the Adler function, providing a consistent description of its infrared behavior and extending the analysis to tau lepton decay.

Findings

Adler function matches experimental predictions across all energies.

The approach successfully describes tau lepton decay processes.

Infrared behavior of the Adler function is clarified using the new representation.

Abstract

The infrared behavior of the Adler function is examined by making use of a recently derived integral representation for the latter. The obtained result for the Adler function agrees with its experimental prediction in the entire energy range. The inclusive $\tau$ lepton decay is studied in the framework of the developed approach.