Scheme variations of the QCD coupling and tau decays

Diogo Boito; Matthias Jamin; Ramon Miravitllas

Scheme variations of the QCD coupling and tau decays

High Energy Physics - Phenomenology 2016-12-19 v1

Authors: Diogo Boito , Matthias Jamin , Ramon Miravitllas

Abstract

The QCD coupling, $\alpha_s$ , is not a physical observable since it depends on conventions related to the renormalization procedure. Here we discuss a redefinition of the coupling where changes of scheme are parametrised by a single parameter $C$ . The new coupling is denoted $\hat \alpha_s$ and its running is scheme independent. Moreover, scheme variations become completely analogous to renormalization scale variations. We discuss how the coupling $\hat \alpha_s$ can be used in order to optimize predictions for the inclusive hadronic decays of the tau lepton. Preliminary investigations of the $C$ -scheme in the presence of higher-order terms of the perturbative series are discussed here for the first time.

Keywords

QCD coupling scheme variations renormalization tau decays perturbative series

Cite

@article{arxiv.1612.05558,
  title  = {Scheme variations of the QCD coupling and tau decays},
  author = {Diogo Boito and Matthias Jamin and Ramon Miravitllas},
  journal= {arXiv preprint arXiv:1612.05558},
  year   = {2016}
}

Comments

4 pages, 3 figures. Contribution to "The 14th International Workshop on Tau Lepton Physics", 19--23 September 2016, IHEP, Beijing, China

Scheme variations of the QCD coupling and tau decays

Abstract

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