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On the hierarchy of quark mixings

  • Note Brevi
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Il Nuovo Cimento A (1965-1970)

Summary

We point out that the structure of the 3×3 quark mixing matrixV is characterized by its two off-diagonal asymmetries: one about theV 11V 22V 33 axis () and the other about theV 13V 22V 31 axis (). By use of current experimental data, we obtain∼10−5−10−4 and⩾400. We find a definite hierarchy for the magnitudes of quark mixings: |V 33|>|V 11|>|V 22|≫|V 12|>|V 21|≫≫|V 23|>|V 32|≫|V 31|>|V 13|>0. The useful relations between the off-diagonal asymmetries and the unitarity triangles ofV are also explored.

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References

  1. Cabibbo N.,Phys. Rev. Lett.,10 (1963) 531;Kobayashi M. andMaskawa T.,Prog. Theor. Phys.,49 (1973) 552.

    Article  ADS  Google Scholar 

  2. Jarlskog C.,Phys. Rev. Lett.,55 (1985) 1039;Wu D. D.,Phys. Rev. D,33 (1986) 860.

    Article  ADS  MATH  Google Scholar 

  3. Branco G. C. andParada P. A.,Phys. Rev. D,44 (1991) 923;Koide Y.,Mod. Phys. Lett. A,7 (1992) 1691.

    Article  ADS  Google Scholar 

  4. Xing Z. Z.,Phys. Rev. D,51 (1995) 3958.

    Article  ADS  Google Scholar 

  5. Wolfenstein L.,Phys. Rev. Lett.,51 (1983) 1945.

    Article  ADS  Google Scholar 

  6. Fritzsch H. andPlankl J.,Phys. Rev. D,35 (1987) 1732;Harari H. andLeurer M.,Phys. Lett. B,181 (1986) 123;Chau L. L. andKeung W. Y.,Phys. Rev. Lett.,53 (1984) 1802;Maiani L.,Phys. Lett. B,62 (1976) 183.

    Article  ADS  Google Scholar 

  7. Gilman F. J. et al., inReview of Particle Properties, Phys. Rev. D,50 (1994) 1315.

    Google Scholar 

  8. Xing Z. Z., preprint LMU-13/95, talk given at theConference on Production and Decay of Hyperons, Charm and Beauty Hadrons, Strasbourg, France, September 5–8, 1995.

  9. Ali A. andLondon D.,Z. Phys. C,65 (1995) 431.

    Article  ADS  Google Scholar 

  10. See,e.g.,Fritzsch H. andXing Z. Z.,Phys. Lett. B,353 (1995) 114.

    Article  ADS  Google Scholar 

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Xing, Zz. On the hierarchy of quark mixings. Nuov Cim A 109, 115–118 (1996). https://doi.org/10.1007/BF02734434

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  • DOI: https://doi.org/10.1007/BF02734434

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