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We present a field-theoretical treatment of the critical behavior ofthree-dimensional weakly diluted quenched Ising model. To this end we analysein a replica limit n=0 5-loop renormalization group functions of the$\phi^4$-theory with O(n)-symmetric and cubic interactions (H.Kleinert andV.Schulte-Frohlinde, Phys.Lett. B342, 284 (1995)). The minimal subtractionscheme allows to develop either the $\epsilon^{1/2}$-expansion series or toproceed in the 3d approach, performing expansions in terms of renormalizedcouplings. Doing so, we compare both perturbation approaches and discuss theirconvergence and possible Borel summability. To study the crossover effect wecalculate the effective critical exponents providing a local measure for thedegree of singularity of different physical quantities in the critical region.We report resummed numerical values for the effective and asymptotic criticalexponents. Obtained within the 3d approach results agree pretty well withrecent Monte Carlo simulations. $\epsilon^{1/2}$-expansion does not allowreliable estimates for d=3.Comment: 35 pages, Latex, 9 eps-figures included. The reference list is  refreshed and typos are corrected in the 2nd versio

physical review. b, condensed matter

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