Six loop analytical calculation of the field anomalous dimension and the critical exponent η in O(n)-symmetric φ4 model

We report on a completely analytical calculation of the field anomalous dimension _ and the critical exponent for the O (n) -symmetric ⁴ model at the record six loop level. We successfully compare our result for _ 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.