Six loop analytical calculation of the field anomalous dimension and the   critical exponent $\eta$ in $O(n)$-symmetric $\varphi^4$ model
  We report on a completely analytical calculation of the field anomalous dimension $\gamma_{\varphi}$ and the critical exponent $\eta$ for the $O(n)$-symmetric $\varphi^4$ model at the record six loop level. We successfully compare our result for $\gamma_{\varphi}$ with $n=1$ with the predictions based on the method of the Borel resummation combined with a conformal mapping. Predictions for seven loop contribution to the field anomalous dimensions are given. 
D.V. Batkovich, M.V. Kompaniets, K.G. Chetyrkin
hep-th cond-mat.stat-mech