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We discuss the possibility of unifying in a simple and economical manner theYukawa couplings of third generation fermions in a non-supersymmetric SO(10)model with an intermediate symmetry breaking, focusing on two possible patternswith intermediate Pati-Salam and minimal left-right groups. assume a minimalYukawa sector at high energy, starting with two Higgs bi-doublets at theintermediate scale which then simply reduce to a two Higgs doublet model at theelectroweak scale. We first enforce gauge coupling unification at the two-looplevel by including the threshold corrections in the renormalisation grouprunning which are generated by the heavy fields that appear at the intermediatesymmetry breaking scale. We then study the running of the Yukawa couplings ofthe top quark, bottom quark and tau lepton at two-loops in these two breakingschemes, when the appropriate matching conditions are imposed. We find that theunification of the third family Yukawa couplings can be achieved whileretaining a viable spectrum, provided that the ratio of the vacuum expectationvalues of the two Higgs doublet fields is large, $\tan\beta \approx 60$.

Yukawa coupling unification in non-supersymmetric SO(10) models with an intermediate scale