Simulation results are reported for the critical point of the two-component ϕ4 field theory. The correlation-length exponent is measured to high precision with the result ν=0.6717(3). This value is in agreement with recent simulation results [ Campostrini et al. Phys. Rev. B 63 214503 (2001)] and marginally agrees with the most recent space-based measurements of the superfluid transition in 4He [ Lipa et al. Phys. Rev. B 68 174518 (2003)].