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Integrated forms of the one-loop evolution equations are given for the Yukawacouplings in the MSSM, valid for any value of $\tan \beta$, generalizable tovirtually any number of Yukawa fermions, and including all gauge couplings.These forms turn out to have nice mathematical convergence properties which weprove, and we determine the ensuing convergence criteria. Furthermore, theyallow to write down general sufficient and necessary conditions to avoidsingularities in the evolution of the Yukawa couplings over physically relevantenergy ranges. We also comment briefly on the possible use of these featuresfor physics issues and give a short numerical illustration.Comment: Latex, 27, pages, 1 tabl

A convergent scheme for one-loop evolutions of the Yukawa couplings in the MSSM