Corrections to scaling for block entanglement in massive spin chains

We consider the Renyi entropies S-n in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (such as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of the corner transfer matrix with the Virasoro algebra, we show that close to a conformally invariant critical point, when the correlation length. is finite but large, the corrections to the scaling are of the unusual form xi(-x/n), with x the dimension of a relevant operator in the conformal theory. This is reminiscent of the results for gapless chains and should be valid for any massive one-dimensional model close to a conformal critical point.