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Recent renormalization group calculations of the sparticle mass spectrum inthe Minimal Supersymmetric Standard Model (MSSM) show that t-b-\tau Yukawacoupling unification at M_{\rm GUT} is possible when the mass spectra followthe pattern of a radiatively induced inverted scalar mass hierarchy. Thecalculation is entirely consistent with expectations from SO(10) SUSY GUTtheories, with one exception: it seems to require MSSM Higgs soft term masssplitting at M_{\rm GUT}, dubbed "just-so Higgs splitting" (HS) in theliterature, which apparently violates the SO(10) gauge symmetry. Here, weinvestigate three alternative effects: {\it i}). SO(10) D-term splitting, {\itii}). inclusion of right hand neutrino in the RG calculation, and {\it iii}).first/third generation scalar mass splitting. By combining all three effects(the DR3 model), we find t-b-\tau Yukawa unification at M_{\rm GUT} can beachieved at the 2.5% level. In the DR3 case, we expect lighter (and possiblydetectable) third generation and heavy Higgs scalars than in the model with HS.In addition, the light bottom squark in DR3 should be dominantly a right state,while in the HS model, it is dominantly a left state.

Is "just-so" Higgs splitting needed for t-b-\tau Yukawa unified SUSY GUTs?