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具有整体代对称性的左右对称模型中的中微子质量

张峰 张春旭 黄明球

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具有整体代对称性的左右对称模型中的中微子质量

张峰, 张春旭, 黄明球

Neutrino masses in the left-right symmetry model with a family symmetry

Zhang Feng, Zhang Chun-Xu, Huang Ming-Qiu
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  • 本文基于具有整体U(1)代对称性的SU(2)L×SU(2)R×U(1)模型推导了轻子的味混合矩阵,对中微子的质量问题进行了研究.在本文的模型中,产生轻子Dirac质量的汤川耦合拉格朗日密度具有整体U(1)代对称性,所以,模型中的带电轻子质量矩阵和中微子Dirac质量矩阵是Fritzsch形式的.但是,中微子除了具有Dirac质量,一般还具有Majorana质量,在这种一般情况下,
    Based on the SU(2)L×SU(2)R×U(1) model with an U(1) family symmetry, we obtain the lepton flavor mixing matrix and research on the neutrino masses. In the model we consider, the Lagragian density which yields the Dirac masses for the leptons is U(1) family invariant, so both the mass matrix for the charge leptons and the Dirac mass matrix for the neutrinos are of the Fritzsch-type. But, generally speaking, neutrinos may have also Majorana masses. In that situation, the effective mass matrix for the light neutrinos is no longer of the Fritzsch type. We make some assumptions on the phases of the neutrino Majorana mass matrix to avoid diagonalizing the non-hermitian matrix. Then, we obtain the lepton flavor mixing matrix. The numerical calculation which is based on the lepton flavor mixing matrix shows that the model we consider may not fit the present result of the neutrino mixing experiment.
    • 基金项目: 国家自然科学基金(批准号:10975184)资助的课题.
    [1]

    [1] Huang X J, Wang Y J 2004 Chin. Phys. 13 1588

    [2]

    [2] Xing Z Z 2002 Phys. Lett. B 550 178

    [3]

    [3] Fukugita M, Tanimoto M, Yanagida T 2003 Phys. Lett. B 562 273

    [4]

    [4] Yao W M, Particle Data Group 2006 J. Phys. G 33 1

  • [1]

    [1] Huang X J, Wang Y J 2004 Chin. Phys. 13 1588

    [2]

    [2] Xing Z Z 2002 Phys. Lett. B 550 178

    [3]

    [3] Fukugita M, Tanimoto M, Yanagida T 2003 Phys. Lett. B 562 273

    [4]

    [4] Yao W M, Particle Data Group 2006 J. Phys. G 33 1

计量
  • 文章访问数:  6614
  • PDF下载量:  618
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-02-21
  • 修回日期:  2009-09-03
  • 刊出日期:  2010-05-15

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