Model with strong γ<SUB>4</SUB> T-violation

T. D. Lee

doi:10.1088/1674-1137/32/12/001

Chinese Physics C> 2008, Vol. 32> Issue(12) : 939-944 DOI: 10.1088/1674-1137/32/12/001

Model with strong γ₄ T-violation

T. D. Lee

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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: 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 m_cm_t sm_b ≈ 0.02, as well as the near complete overlap of t and b quark, with (c|b)=-0.04.

References

[1]	. Friedberg R, Lee T D. Ann. Phys., 2008, 323: 10872. Particle Data Group. J. Phys. G, 2006, 33: 13. Friedberg R, Lee T D. arXiv:0809.36334. Goldstone J. Nuovo Cimento, 1961, 9: 154

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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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沈阳化工大学材料科学与工程学院沈阳 110142

Model with strong γ₄ T-violation

T. D. Lee

Received Date: 2008-10-16
Accepted Date: 1900-01-01
Available Online: 2008-12-05

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: 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 m_cm_t sm_b ≈ 0.02, as well as the near complete overlap of t and b quark, with (c|b)=-0.04.