  For a dilute two-dimensional Bose gas the universal equation of state has a
logarithmic dependence on the s-wave scattering length. Here we derive
non-universal corrections to this equation of state taking account finite-range
effects of the inter-atomic potential. Our beyond-mean-field analytical results
are obtained performing dimensional regularization of divergent zero-point
quantum fluctuations within the finite-temperature formalism of functional
integration. In particular, we find that in the grand canonical ensemble the
pressure has a nonpolynomial dependence on the finite- range parameter and it
is a highly nontrivial function of chemical potential and temperature.
