Numerical evidence for loop convergence in Yang-Mills thermodynamics

The numerical results for the computed moduli of the irreducible three-loop contributions to the thermodynamical pressure of an SU(2) Yang-Mills theory in the effective theory for the deconfinning phase are explained in detail. Irreducible three-loop integrations are compared with two-loop integrations and the different nature of their integrations is scrutinized and illustrated numerically. The numerical results show a rapid convergence in the loop expansion of Yang-Mills thermodynamics. The statistical method used for irreducible three-loop integrations is explained and checked for two-loop integrations. The statistical results for two-loop integrations are compatible with the former computed analytical results showing the reliability of the statistical method.This is a companion paper to [1].