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We report on a completely analytical calculation of the field anomalousdimension $\gamma_{\varphi}$ and the critical exponent $\eta$ for the$O(n)$-symmetric $\varphi^4$ model at the record six loop level. Wesuccessfully compare our result for $\gamma_{\varphi}$ with $n=1$ with thepredictions based on the method of the Borel resummation combined with aconformal mapping. Predictions for seven loop contribution to the fieldanomalous dimensions are given.

Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric $\varphi^4$ model