The smallness of the quark sector parameters and the hierarchy between
them could be the result of a horizontal symmetry broken by a small p
arameter. Such an explicitly broken symmetry can arise from an exact s
ymmetry which is spontaneously broken. Constraints on the scales of ne
w physics arise from new flavor-changing interactions and from Landau
poles, but do not exclude the possibility of observable signatures at
the TeV scale. Such a horizontal symmetry could also lead to many inte
resting results: (i) quark-squark alignment that would suppress, witho
ut squark degeneracy, flavor-changing neutral currents induced by supe
rsymmetric particles, (ii) exact relations between mass ratios and mix
ing angles, (iii) a solution of the mu-problem and (iv) a natural mech
anism for obtaining hierarchy among various symmetry-breaking scales.