Vector correlator in massless QCD at order mathcal{O}left( {alpha_s^4} right) and the QED β-function at five loop

摘要

We present a concise summary of recent results for the vector correlator in massless QCD at order ( mathcal{O}left( {alpha_s^4} right) ), 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 β-function of order ( {alpha^{{2}}}alpha_s^4 ) in the ( overline {text{MS}} - ) and MOM-schemes; (ii) the full five-loop result of order α 6 for the β-function of QED with a generic number of single-charged fermions, again for the ( overline {text{MS}} - ) and MOM-schemes.