Nonzero $θ_{13}$ and Neutrino Masses from the Modified Tribimaximal Neutrino Mixing Matrix
Asan Damanik
备注：
6 pages, no figure, typos corrected, talk given at 24th Rencontres de Blois 2012: Particle Physics and Cosmology, Chateau Royal de Blois, France, 27 May-1 June 2012, published in EJTP with permission from the 24th Rencontres de Blois 2012 Organizer
In order to accommodate nonzero and relatively large of mixing angle $θ_{13}$, we modified the tribimaximal mixing(TBM) matrix by introducing a simple perturbation matrix to perturb TBM matrix. The modified TBM can reproduce nonzero mixing angle $θ_{13}=7.9^{0}$ which is in agreement with the present experimental results. By imposing two zeros texture into the obtained neutrino mass matrix from modified TBM, we then have the neutrino mass spectrum in normal hierarchy. Some phenomenological implications are also discussed
We explore the possibility of generating a non-zero $U_{e3}$ element of the neutrino mixing matrix from tribimaximal neutrino mixing by adding a light sterile neutrino to the active neutrinos. Small active-sterile mixing can provide the necessary deviation from tribimaximal mixing to generate a non-zero $θ_{13}$ and atmospheric mixing $θ_{23}$ different from maximal. Assuming no CP-violation, we study the phenomenological impact of sterile neutrinos in the context of current neutrino oscillation data. The tribimaximal pattern is broken in such a manner that the second column of tribimaximal mi…
We study the phenomenological implications of the presence of two texture zeros in the neutrino mass matrix assuming that the neutrino mixing matrix has its first column identical to that of the tribimaximal mixing matrix. Only two patterns of this kind are compatible with the experimental data. These textures have definite predictions for the neutrino observables that are testable in future neutrino experiments.
A modified neutrino mass model with five extra scalars is constructed using $A_{4}$ discrete symmetry group. The resultant mass matrix is able to give necessary deviation from Tribimaximal mixing which reproduces the current neutrino masses and mixing data with good accuracy. The model gives testable prediction for the future measurements of the neutrinoless double-beta decay parameter $|m_{ββ}|$. The analysis is consistent with latest cosmological bound $Σm_{i}\leq$ 0.12 eV.
Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing
Recent work on a lepton mass matrix model based on an SU(3) flavor symmetry which is broken into S_4 is reviewed. The flavor structures of the masses and mixing are caused by VEVs of SU(2)_L-singlet scalars ϕwhich are nonets ({ \bf 8}+{ \bf 1}) of the SU(3) flavor symmetry, and which are broken into { \bf 2}+{ \bf 3}+{ \bf 3}' and { \bf 1} of S_4. If we require the invariance under the transformation (ϕ^{(8)},ϕ^{(1)}) \to (-ϕ^{(8)},+ϕ^{(1)}) for the superpotential of the nonet field ϕ^{(8+1)}, the model leads to a beautiful relation for the charged lepton masses. The observed tribimaximal neut…
受维度解构的启发，我们提出了一个基于A_4 × A_4对称性的三双峰中微子混合模型。在这个模型中，传统A_4模型的两个三重态破缺场在不同的A_4群因子下进行变换，而不被任何其他量子数区分。一个额外的双三重态flavon场将A_4 x A_4分解为它的对角子群。如果双三重态变换下的一个额外的Z_3对称性，我们可以构建一个一般的，重整化的超势，产生所需的模式的对称性破缺。我们确定的功能，这个模型具有共同的解构5D理论，其中A_4是一个连续的衡量味道对称的散装子群。
Corrections for tribimaximal, bimaximal and democratic neutrino mixing matrices
在这项工作中，我们分析了三重极大（TBM），双峰（BM）和民主（DC）的混合矩阵的修正解释大反应堆混合角$θ_{13}$和检查与其他中微子混合角的一致性。校正根据具有$R_{ij}\cdot U \cdot R_{kl}$形式的相应修改的PMNS矩阵的小正交旋转（R）来参数化，其中$R_{ij}$是ij扇区中的旋转，并且U是这些特殊矩阵中的任何一个。我们证明了微扰情况下的转动$R_{13}\cdot U \cdot R_{23}$、$R_{12}\cdot U \cdot R_{13}$和微扰情况下的$R_{13}\cdot U \cdot R_{13}$能很好地拟合$1σ$范围内的所有中微子混合角。扰动后的PMNS矩阵$R_{12}\cdot U \cdot R_{13}$用于DC、TBM和$R_{23}\cdot U \cdot R_{23}$用于TBM都能成功地产生2 $σ$水平的混合角。其他旋转方案要么被排除，要么成功地在$3σ$水平上产生混合角。
Four next-to-tribimaximal (NTBM) mixing patterns are widely considered as the feasible candidates for the observed leptonic mixing structure. With the recent measurements from T2K, as well as intensive global fits, the interval of $\sinδ_{ CP} > 0$ for the Dirac CP-violating phase is persistently small in the normal ordering while $\sinδ_{ CP} < 0$ is successively obtained up to $3σ$ level in the inverted ordering. In this paper, we advocate the fitting results of Dirac CP-violating phase as a constraint, and show that, it can basically rule out half of the regions allowed by the constraint fr…
The impact of renormalization group equations(RGEs) on neutrino masses and mixings at high energy scales in Minimal Supersymmetric Standard Model(MSSM) is studied using two different mixing patterns such as Tri-Bimaximal(TBM) mixing and Golden Ratio(GR) mixing in consistent with cosmological bound of the sum of three neutrino masses, $\sum _{i}|m_{i}|$. Magnifications of neutrino masses and mixing angles at low energy scale, are obtained by giving proper input masses, and mixing angles from TBM mixing matrix and GR mixing matrix at high energy scales. High energy scales, $M_{R}$ such as $10^{1…
We scrutinize corrections to tribimaximal (TBM), bimaximal (BM) and democratic (DC) mixing matrices for explaining recent global fit neutrino mixing data. These corrections are parameterized in terms of small orthogonal rotations (R) with corresponding modified PMNS matrices of the forms \big($R_{ij}^l\cdot U,~U\cdot R_{ij}^r,~U \cdot R_{ij}^r \cdot R_{kl}^r,~R_{ij}^l \cdot R_{kl}^l \cdot U$\big ) where $R_{ij}^{l, r}$ is rotation in ij sector and U is any one of these special matrices. We showed that for perturbative schemes dictated by single rotation, only \big($ R_{12}^l\cdot U_{BM},~R_{13…
We extend the recently proposed $SU(5) \times \mathcal{T}_{13}$ model for the asymmetric texture to the up-type quark and seesaw sectors. The hierarchical up-type quark masses are generated from higher-dimensional operators involving family-singlet Higgses, gauge-singlet familons, and vectorlike messengers. The complex-tribimaximal (TBM) seesaw mixing arises from the vacuum structure of a minimal number of familons, resulting in an alignment between the Yukawa and Majorana matrices of the seesaw formula. Introducing four right-handed neutrinos, normal ordering of the light neutrino masses is o…
