  Motivated by the recent results on the asymptotic behavior of Toeplitz
determinants with Fisher-Hartwig singularities, we develop an asymptotic
expansion for transverse spin correlations in the XX spin-1/2 chain. The
coefficients of the expansion can be calculated to any given order using the
relation to discrete Painleve equations. We present explicit results up to
eleventh order and compare them with a numerical example.
