R(s) and hadronic tau-Decays in Order alpha_s^4: technical aspects

TL;DR

This paper discusses the technical details of calculating alpha_s^4 corrections to R(s) and tau decay width, including validation and structural analysis of the results.

Contribution

It presents new high-order QCD corrections to R(s) and tau decay, with validation of components through independent evidence.

Findings

Demonstrated the correctness of one component of the calculation.

Analyzed the internal structure of the alpha_s^4 correction results.

Provided technical insights into high-order perturbative QCD calculations.

Abstract

We report on some technical aspects of our calculation of alpha_s^4 corrections to R(s) and the semi-leptonic tau decay width [1-3]. We discuss the inner structure of the result as well as the issue of its correctness. We demonstrate recently appeared independent evidence positively testing one of two components of the full result.