2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207045The renormalization-group (RG) functions for the three-dimensional n-vector cubic model are calculated in the five-loop approximation. High-precision numerical estimates for the asymptotic critical exponents of the three-dimensional impure Ising systems are extracted from the five-loop RG series by means of the Pade-Borel-Leroy resummation under n = 0. These exponents are found to be: γ= 1.325 +/- 0.003, η= 0.025 +/- 0.01, ν= 0.671 +/- 0.005, α= - 0.0125 +/- 0.008, β= 0.344 +/- 0.006. For the correction-to-scaling exponent, the less accurate estimate ω= 0.32 +/- 0.06 is obtained.11 pages, LaTeX, no figures, published versionStatistical MechanicsHigh Energy Physics - LatticeHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryFive-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systemstext