On the Consistency of MSGUT Spectra

Abstract

We show explicitly that, once convention dependent phases are properly accounted for, the mass spectra evaluated by us in hep-ph\0204097 and hep-ph\0405074 satisfy the Trace, SU(5) reassembly and Goldstone counting consistency checks. Furthermore proper phase accounting shows that the transposition symmetry called "Hermiticity" will be manifest only up to signs arising from the product of six phase factors which must be reinserted if the symmetry is to be verified also as regards signs. Thus the claims of hep-ph/0405300 and hep-ph/0412348 concerning the inconsistency of our results are completely mistaken. The Chiral multiplet spectra of the two calculations are equivalent. However our method also gives all gauge and gauge chiral spectra as well as a MSSM decomposition of all SO(10) MSGUT couplings, for both tensors and spinors, which are unavailable, even in principle, using the methods of the above papers.