Interpretation of experimental data near λ-transition point in liquid helium

The recently published experimental data for specific heat Cp of liquid helium in zero gravity conditions very close to the λ–transition have been discussed. We have shown that these data allow different interpretations. They can be well interpreted within the perturbative RG approach and within our recently developed theory, as well. Allowing the logarithmic correction, the corresponding fits lie almost on top of each other over the whole range of the reduced temperatures t (for bin averaged data) $6.3 \times 10^{-10} < t < 8.8 \times 10^{-3}$. However, the plot of the effective exponent $\alpha_{\mbox{\scriptsize eff}}(t)$ suggests that the behaviour of Cp, probably, changes very close to $T_{\lambda}$. To clarify this question, we need more accurate data for $t