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We complete our high-accuracy studies of the lattice ghost propagator inLandau gauge in Numerical Stochastic Perturbation Theory up to three loops. Wepresent a systematic strategy which allows to extract with sufficient precisionthe non-logarithmic parts of logarithmically divergent quantities as a functionof the propagator momentum squared in the infinite-volume and $a\to 0$ limits.We find accurate coincidence with the one-loop result for the ghost self-energyknown from standard Lattice Perturbation Theory and improve our previousestimate for the two-loop constant contribution to the ghost self-energy inLandau gauge. Our results for the perturbative ghost propagator are comparedwith Monte Carlo measurements of the ghost propagator performed by the BerlinHumboldt university group which has used the exponential relation betweenpotentials and gauge links.

The lattice ghost propagator in Landau gauge up to three loops using Numerical Stochastic Perturbation Theory