VALIDITY OF THE THERMODYNAMICAL PROPERTIES OF THE DARK ENERGY MODEL WITH THE EQUATION OF STATE: w = w0 + w1 · z(1 + z)/(1 + z2)

The neutrino oscillation data are in very good agreement with the tribimaximal mixing pattern: sin 2 θ 23 = 1/2, sin 2 θ 12 = 1/3, and sin 2 θ 13 = 0. Attempts to generate this pattern based on finite family symmetry groups typically assume that the family symmetry is broken to different subgroups in the charged lepton and the neutrino mass matrices. This leads to a technical problem, where the cross-couplings between the Higgs fields responsible for the two symmetry breaking chains force their vacuum expectation values to align, upsetting the desired breaking pattern. Here, we present a class of models based on the semidirect product group (S 3 ) 4 ⋊ A 4 , where the lepton families belong to representations which are not faithful. In effect, the Higgs sector knows about the full symmetry while the lepton sector knows only about the A 4 factor group. This can solve the alignment problem without altering the desired properties of the family symmetry. Inclusion of quarks into the framework is straightforward, and leads to small and arbitrary CKM mixing angles. Supersymmetry is not essential for our proposal, but the model presented is easily supersymmetrized, in which case the same family symmetry solves the SUSY flavor problem.

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“…These values are in good agreement with the tribimaximal mixing pattern given by the leptonic mixing matrix [3,4] …”

Section: Introductionsupporting

confidence: 84%

Semidirect product groups, vacuum alignment, and tribimaximal neutrino mixing

Babu

Gabriel

2010

Phys. Rev. D

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“…A popular approach to understand the leptonic mixing structure is reducing the number of free parameters by adding Abelian or non-Abelian flavor symmetries, leading to specific texture structures of neutrino mass matrix (M ν ). Some common models include texture-zeros [2,3,4,5,6,7], hybrid textures [8,9], zero trace [10], vanishing minors [11,12,13], two traceless submatrices [14], equal elements or cofactors [15], hybrid M −1 ν textures [16], partial µ − τ symmetry [17].…”

Section: Introductionmentioning

confidence: 99%

Neutrino mass matrices with one texture equality and one vanishing neutrino mass

Han

Wang

et al. 2017

Phys. Rev. D

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In the light of latest data of neutrino oscillation experiments, we carry out a systematic investigation on the texture structures of Majorana neutrino mass matrix Mν , which contain one vanishing neutrino mass and an equality between two matrix elements. Among 15 logically possible patterns, it is found that for norm order (m3 > m2 > m1 = 0) of neutrino masses only five of them are compatible with recent experimental data at the 3σ level, while for inverted order (m2 > m1 > m3 = 0) ten patterns is phenomenologically allowed. In the numerical analysis, we perform a scan over the parameter space of all viable patterns to get a large sample of scattering points. We present the implications of each allowed pattern for three mixing angles (θ12, θ2, θ3), leptonic CP violation and neutrinoless double-beta decay, predicting strong correlations between oscillation parameters. The theoretical realization of a concrete example is discussed in the framework of Froggatt-Nielsen mechanism.

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“…In such a scenario, establishing CP conservation/violation in a particular channel is not enough to conclude overall CP/T violation in the leptonic sector in general and one needs to examine asymmetries in all possible channels. Even if it the case, one needs to make sure whether the source of CP violation is genuine or fake (depending on the baseline) [52]. In presence of NSI, this is further disturbed due to the presence of additional parameters (see [17,20,21]).…”

Section: Propagation In Matter With Effects Due To Nsi Switched Onmentioning

confidence: 99%

Can we probe intrinsic CP and T violations and nonunitarity at long baseline accelerator experiments?

2017

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One of the fundamental parameters entering neutrino oscillation framework is the leptonic CP phase δ 13 and its measurement is an important goal of the planned long baseline experiments. It should be noted that ordinary matter effects complicate the determination of this parameter and there are studies in literature that deal with separation of intrinsic versus extrinsic CP violation. It is important to investigate the consequences of new physics effects that can not only hamper the measurement of δ 13 , but also impact the consequences of discrete symmetries such as CP, T and unitarity in different oscillation channels. In the present work, we explore these discrete symmetries and implications on unitarity in presence of two new physics scenarios (non-standard interaction in propagation and presence of sterile neutrinos) that serve as good examples of going beyond the standard scenario in different directions. We uncover the impact of new physics scenarios on disentangling intrinsic and extrinsic CP violation.

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VALIDITY OF THE THERMODYNAMICAL PROPERTIES OF THE DARK ENERGY MODEL WITH THE EQUATION OF STATE: w = w₀ + w₁ · z(1 + z)/(1 + z²)

Cited by 50 publications

References 29 publications

Semidirect product groups, vacuum alignment, and tribimaximal neutrino mixing

Semidirect product groups, vacuum alignment, and tribimaximal neutrino mixing

Neutrino mass matrices with one texture equality and one vanishing neutrino mass

Can we probe intrinsic CP and T violations and nonunitarity at long baseline accelerator experiments?

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