  We perform a lattice calculation of the Schr\"odinger functional running
coupling in SU(2) Yang-Mills theory with six massless Wilson fermions in the
fundamental representation. The aim of this work is to determine whether the
above theory has an infrared fixed point. Due to sensitivity of the $SF$
renormalized coupling to the tuning of the fermion bare mass we were unable to
reliably extract the running coupling for stronger bare couplings.
