Non-unified sparticle and particle masses in unified theories

We give examples of minimal extensions of the simplest SU(5) SUSY-GUT in which all squarks and sleptons of a family have different tree level masses at the unification scale. This phenomenon is general; it occurs when the quarks and leptons are the light remnants of a theory which contains extra heavy families at the unification scale. The examples have interesting relations between Yukawa couplings: In one model the ratio of the top to bottom Yukawas is as large as \simeq 3, partly accounting for the large m_t /m_b. Another gives m_b/m_\tau between 2/3 and 1; this relaxes the strict bounds on the top mass and neutrino properties that come from b--\tau unification. Still another allows m_s/m_\mu to be between 1/6 and 1 and evades the potentially problematic GUT relation of m_s=m_\mu. The final example has horizontal sparticle splittings in spite of the existence of horizontal symmetries.