SO(10) symmetry breaking and type II seesaw formula
SO(10) symmetry breaking and type II seesaw formula
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DOI：
10.1103/physrevd.70.075022
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发表时间：
2004-08
影响因子：
5
通讯作者：
H. Goh;R. N. Mohapatra;S. Nasri
中科院分区：
文献类型：
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作者：
H. Goh;R. N. Mohapatra;S. Nasri
如果假定中微子质量遵循三重态主导的II型跷跷板公式，最近已经证明了一个具有126Higgs场打破B-L对称性的最小SO(10)模型，可以预测与观测一致的大型太阳和大气混合。为了这个目的，不需要假设额外的对称性。我们讨论了SO(10)对称性分解到最小超对称标准模型(MSSM)和模型中的希格斯多重态的条件，这是三重态主导的II型跷跷板公式成立所必需的。我们发现：(I)SO(10)在破缺到标准模型之前必须破缺到非极小SU(5)；(Ii)B-L对称性在SO(10)破缺时必须破缺；(Iii)统一约束似乎要求最小模型必须有54维希格斯场以及210和126，才能打破大统一理论(GUT)对称性。
A minimal SO(10) model with 126 Higgs field breaking B-L symmetry has been shown recently to predict large solar and atmospheric mixings in agreement with observations if it is assumed that the neutrino mass follows from the triplet dominated type-II seesaw formula. No additional symmetries need to be assumed for this purpose. We discuss the conditions on the way SO(10) symmetry breaks down to the minimal supersymmetric standard model (MSSM) and the Higgs multiplets in the model, required for the triplet dominated type-II seesaw formula to hold. We find that (i) SO(10) must break to a nonminimal SU(5) before breaking to the standard model; (ii) B-L symmetry must break at the time of SO(10) breaking and (iii) constraints of unification seem to require that the minimal model must have a 54 dimensional Higgs field together with a 210 and 126 to break the grand unified theory (GUT) symmetry.