Deviation from bimaximal mixing and leptonic CP phases in S4 family symmetry and generalized CP

Deviation from bimaximal mixing and leptonic CP phases in S4 family symmetry and generalized CP
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S4 族对称性和广义 CP 中双极大混合和轻子 CP 相位的偏差

DOI:
10.1007/jhep08(2015)017
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发表时间:
2014-08
影响因子:
5.4
通讯作者:
Gui-Jun Ding
Gui-Jun Ding
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Cai-Chang Li;Gui-Jun Ding

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具有一行或一列的轻子味混合矩阵与双极大混合到排列是相同的,这与目前的中微子振荡数据仍然是一致的。我们对由S4族对称性和广义CP对称性生成这样的混合矩阵进行了深入的探索。假设S4⋊Hcp在中微子区域被分解为Z2ST2SU×Hcpν$${Z}_2^{S{T}^2SU}\x{H}_{MATHROM{CP}}^{\nu}$$,而在带电轻子区域中,Z4TST2U⋊Hcpl$${Z}_4^{TS{T}^2U}\r乘以{H}_{\MATHROM{CP}^L$$,PMN矩阵的一列将是1/2,1/2,1/2T${\Left(1/2,1/\rSQT{2},1/2\RSQT{2)}^T$$对于观测到的轻子混合角,Dirac CP相和Majorana CP相都是微不足道的。研究了剩余对称性K4TST2,T2U×Hcpν${K}_4^{\Left(TS{T}^2,{T}^2U\Right)}次{H}{Mathm{CP}}^{nu}$$在中微子区和Z2SU × Hcpl在带电轻子区的唯象意义。确定PMNS矩阵的一行为1/2,1/2,−I/2$$\Left(1/2,1/2,-i/\Sqrt{2}\Right)$$,所有三个轻子CP相都只能是微不足道的,以符合混合角的测量值。构造了两个基于S4族对称性和广义CP的模型来实现由残差对称性加强的模型独立预测。得到了带电轻子之间正确的质量等级。讨论了真空对准和高阶修正。
A bstractThe lepton flavor mixing matrix having one row or one column in common with the bimaximal mixing up to permutations is still compatible with the present neutrino oscillation data. We provide a thorough exploration of generating such a mixing matrix from S4 family symmetry and generalized CP symmetry HCP. Supposing that S4 ⋊ HCP is broken down to Z2ST2SU×HCPν$$ {Z}_2^{S{T}^2SU}\times {H}_{\mathrm{CP}}^{\nu } $$ in the neutrino sector and Z4TST2U⋊HCPl$$ {Z}_4^{TS{T}^2U}\rtimes {H}_{\mathrm{CP}}^l $$ in the charged lepton sector, one column of the PMNS matrix would be of the form 1/2,1/2,1/2T$$ {\left(1/2,1/\sqrt{2},1/2\right)}^T $$ up to permutations, both Dirac CP phase and Majorana CP phases are trivial to accommodate the observed lepton mixing angles. The phenomenological implications of the remnant symmetry K4TST2,T2U×HCPν$$ {K}_4^{\left(TS{T}^2,{T}^2U\right)}\times {H}_{\mathrm{CP}}^{\nu } $$ in the neutrino sector and Z2SU × HCPl in the charged lepton sector are studied. One row of PMNS matrix is determined to be 1/2,1/2,−i/2$$ \left(1/2,1/2,-i/\sqrt{2}\right) $$, and all the three leptonic CP phases can only be trivial to fit the measured values of the mixing angles. Two models based on S4 family symmetry and generalized CP are constructed to implement these model independent predictions enforced by remnant symmetry. The correct mass hierarchy among the charged leptons is achieved. The vacuum alignment and higher order corrections are discussed.
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影响因子: --
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发表时间: 2014-09
期刊: JHEP
影响因子: --
作者:
Gui-Jun Ding;Stephen F. King;Thomas Neder
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