Calculation of the R-ratio of $e^{+}e^{-}\to$ hadrons at the higher-loop levels

TL;DR

This paper presents a method for accurately calculating the R-ratio of electron-positron annihilation into hadrons at higher-loop levels, accounting for effects from analytic continuation from spacelike to timelike domains.

Contribution

It introduces a novel approach to incorporate higher-loop corrections and continuation effects in R-ratio calculations for e+e- annihilation into hadrons.

Findings

Effective method for higher-loop R-ratio calculation

Proper treatment of continuation effects from spacelike to timelike domains

Enhanced accuracy in theoretical predictions of e+e- annihilation

Abstract

The calculation of the R-ratio of electron-positron annihilation into hadrons is discussed. The method, which enables one to properly account for all the effects due to continuation of the spacelike perturbative results into the timelike domain at an arbitrary loop level, is delineated.