Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model

International audienceThe Barrett-Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spinfoam models. Here, we complete the report on the numerical analysis of the single 4-simplex area correlations begun in Phys. Lett. B670 (2009) 403-406, discussing the next-to-leading order corrections (``one-loop'' corrections) with particular attention to their measure dependence, and the difference between the Gaussian and Bessel ansatze for the boundary state