  We present the results for three-loop gauge field anomalous dimensions in the
SM calculated in the background field gauge within the unbroken phase of the
model. The results are valid for the general background field gauge
parameterized by three independent parameters. Both quantum and background
fields are considered. The former are used to find three-loop anomalous
dimensions for the gauge-fixing parameters, and the latter allow one to obtain
the three-loop SM gauge beta-functions. Independence of beta-functions of
gauge-fixing parameters serves as a validity check of our final results.
