  We improve the theoretical estimates of the critical exponents for the
three-dimensional XY universality class, which apply to the superfluid
transition in He4 along the lambda-line of its phase diagram. We obtain the
estimates alpha=-0.0151(3), nu=0.6717(1), eta=0.0381(2), gamma=1.3178(2),
beta=0.3486(1), and delta=4.780(1). Our results are obtained by finite-size
scaling analyses of high-statistics Monte Carlo simulations up to lattice size
L=128 and resummations of 22nd-order high-temperature expansions of two
improved models with suppressed leading scaling corrections. We note that our
result for the specific-heat exponent alpha disagrees with the most recent
experimental estimate alpha=-0.0127(3) at the superfluid transition of He4 in
microgravity environment.
