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Apparently convergent contributions of resummed perturbative series at thenext-to-leading order of the 1/N expansion in the O(N) model are reanalyzed interms of renormalizability. Compared to our earlier article [G. Fejos et al.,Phys. Rev. D 80, 025015 (2009)], an additional subtraction is performed. Weshow numerically that this is indispensable for diminishing the cutoffsensitivity of some integrals below the scale of the Landau pole. Following themethod of our earlier article, an improved counterterm Lagrangian isconstructed in the two-particle irreducible formalism, with and without the useof an auxiliary field formulation.

Renormalized O(N) model at next-to-leading order of the 1/N expansion: Effects of the Landau pole