  The use of a new method for summing divergent series makes it possible to
significantly increase the accuracy of determining the critical exponents from
the field theoretical renormalization group. The exponent value \nu=0.6700\pm
0.0006 for the \lambda-transition in liquid helium is in good agreement with
the experiment, but contradicts the last theoretical results based on using
high-temperature series, the Monte Carlo method, and their synthesis.
