1206.1284 (P. A. Baikov et al.)

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

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

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.

View original: http://arxiv.org/abs/1206.1284