Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model

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dc.creatorAdhikary, Biswajit
dc.creatorGhosal, Ambar
dc.date2006-09-19
dc.date2007-04-20
dc.date.accessioned2026-07-07T10:25:28Z
dc.date.available2026-07-07T10:25:28Z
dc.descriptionTo understand the mass spectra of charged lepton and neutrino $A_4$ symmetry has been proposed in addition with the Standard $SU(2)_L\times U(1)_Y$ model. We break $A_4$ symmetry softly and the deviation from the tri-bimaximal mixing arises due to Zee mechanism. In the present work, we express two mixing angles $θ_{13}$ and $θ_{23}$ in terms of a single model parameter and experimental observables, such as, mixing angle $θ_{12}$, mass squared differences $Δm^2_{21}$ and $Δm^2_{32}$. Using the experimental values of $θ_{23}$, $θ_{12}$, $Δm^2_{21}$ and $Δm^2_{32}$ we restrict the model parameter and we predict $θ_{13}$. This model gives rise to $θ_{13}\simeq 11^\circ$ if we allow $1σ$ deviation of $θ_{23}$ and $2^\circ$ deviation of $θ_{12}$ from their best fit values. Utilizing all those constraints, we explore the extent of CP violation parameter $J_{\rm CP}$ in the present model and found a value of $J_{\rm CP}\approx 2.65\times 10^{-3}$ (for $1σ$ deviation of $θ_{23}$ and $2^\circ$ deviation of $θ_{12}$) consistent with the other neutrino experimental results. We have studied the mass pattern of neutrino and neutrinoless double beta decay $(ββ_{0ν})$ parameter $|(M_ν)_{ee}|$ in this model.
dc.description16 pages, 6 eps figures,revised materials and figures, version to appear in Phys.Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0609193
dc.identifierhttp://arxiv.org/abs/hep-ph/0609193
dc.identifierPhys.Rev.D75:073020,2007
dc.identifierdoi:10.1103/PhysRevD.75.073020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176552
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConstraining {\it CP} violation in a softly broken $A_4$ symmetric Model
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