Quantum numbers of anti-grand-unified-theory Higgs fields from the quark-lepton spectrum

A series of Higgs field quantum numbers in the anti-grand-unification model, based on the gauge group SMG/sup 3/*U(1)/sub f/, is tested against the spectrum of quark and lepton masses and mixing angles. A more precise formulation of the statement that the couplings are assumed of order unity is given. It is found that the corrections coming from this more precise assumption do not contain factors of the order of the number of colors, N/sub c/=3, as one could have feared. We also include a combinatorial correction factor, taking account of the distinct internal orderings within the chain Feynman diagrams in our statistical estimates. Strictly speaking our model predicts that the uncertainty in its predictions and thus the accuracy of our fits should be +or-60%. Many of the best fitting quantum numbers give a higher accuracy fit to the masses and mixing angles, although within the expected fluctuations in a chi /sup 2/. This means that our fit is as good as it can possibly be.