$e^+e^-$ annihilation at low energies in analytic approach to QCD

TL;DR

This paper reviews the analytic approach to QCD and applies it to low-energy electron-positron annihilation, showing excellent agreement with experimental data for the $R$ ratio and Adler function.

Contribution

It introduces an analytic QCD method applied to low-energy $e^+e^-$ annihilation, providing new theoretical results that match experimental data.

Findings

Excellent agreement between AA predictions and experimental data at low $Q^2$

New results for the Adler function consistent with observations

Validation of the analytic approach in low-energy QCD processes

Abstract

We begin with short review of the analytic approach (AA) to QCD recently developed and applied to the process of $e^+e^-$ annihilation into hadrons at low energies. Besides summary of the theoretical description of smeared experimental data for the $R$ cross-section ratio we give fresh analogous result for the corresponding Adler function, $D(Q^2)$, and demonstrate excellent agreement between the AA theoretical results and data in the low $Q^2$ region.