Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop

P. A. Baikov; K. G. Chetyrkin; J. H. Kühn; J. Rittinger

doi:10.1007/JHEP07(2012)017

Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop

High Energy Physics - Phenomenology 2015-06-05 v2 High Energy Physics - Theory

Authors: P. A. Baikov , K. G. Chetyrkin , J. H. Kühn , J. Rittinger

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Abstract

We present a concise summary of recent results for the vector correlator in massless QCD at order ${\cal O}(\alpha_s^4)$ , with all colour factors being given for a generic colour group. As a direct consequence we arrive at: (i) the full QCD contribution to the QED $\beta$ --function of order $\alpha^2\, \alpha_s^4$ in the MSbar- and MOM-schemes; (ii) the full five-loop result of order $\alpha^6$ for the $\beta$ -function of QED with a generic number of single-charged fermions, again for the MSbar- and MOM-schemes.

Cite

@article{arxiv.1206.1284,
  title  = {Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop},
  author = {P. A. Baikov and K. G. Chetyrkin and J. H. Kühn and J. Rittinger},
  journal= {arXiv preprint arXiv:1206.1284},
  year   = {2015}
}

Comments

14 pages, 1 figure; Few misprints corrected. Results are untouched

Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop

Abstract

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