Model with strong γ4 T-violation

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T. D. Lee. Model with strong γ4 T-violation[J]. Chinese Physics C, 2008, 32(12): 939-944. doi: 10.1088/1674-1137/32/12/001
T. D. Lee. Model with strong γ4 T-violation[J]. Chinese Physics C, 2008, 32(12): 939-944.  doi: 10.1088/1674-1137/32/12/001 shu
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Received: 2008-10-16
Revised: 1900-01-01
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Model with strong γ4 T-violation

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. 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: the six quark masses and the four real parameters that characterize the CKM matrix (i.e., the Jarlskog invariant J 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 J≌3×10-5 is mainly accounted for by the large heavy quark masses, with mcmt smb ≈ 0.02, as well as the near complete overlap of t and b quark, with (c|b)=-0.04.

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