Model with strong γ4 T-violation**Supported in part by the U.S. Department of Energy (DE-FG02-92-ER40699)

Abstract

We extend the T violating model of the paper on ``Hidden symmetry of the CKM and neutrino-mapping matrices'' by assuming its T-violating phases χ↑ and χ↓ to be large and the same, with χ = χ↑ = χ↓. In this case, the model has 9 real parameters: α↑, β↑, ξ↑, η↑ for the ↑-quark sector, α↓, β↓, ξ↓, η↓ for the ↓ sector and a common χ. We examine whether these nine parameters are compatible with ten observables: thesix quark masses and the four real parameters that characterize the CKM matrix (i.e., the Jarlskog invariant \U0001d4a5 and three Eulerian angles). We find that this is possible only if the T violating phase χ is large, between −120° to −135°. In this strong T violating model, the smallness of the Jarlskog invariant \U0001d4a5 ≅ 3×10−5 is mainly accounted for by the large heavy quark masses, with mc/mt < ms/mb ≈ 0.02, as well as the near complete overlap of t and b quark, with (c|b) = −0.04.