Common origin ofμ−τandCPbreaking in the neutrino seesaw, baryon asymmetry, and hidden flavor symmetry

2011/04/30 by Hong-Jian He, Furong Yin, Fu-Rong Yin · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Conjecture #Dark Matter and Cosmic Phenomena #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Seesaw mechanism #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.84.033009

published as Phys.Rev.D84:033009,2011 · 67pp, 16 figs, attached "Note Added-2" (and Figs.14-16) for update with new data of Daya Bay and RENO in spring 2012. v2: PRD version, attached "Note Added in Proof" to highlight our prediction of a relatively large theta_13, this is *prior to* the new data from T2K and MINOS which further support our theory prediction

openalex publication_date 2011/08/15 · arxiv created 2012/04/17 · arxiv updated 2012/04/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We conjecture that all CP violations (both Dirac and Majorana types) arise from a common origin in the neutrino seesaw. With this conceptually attractive and simple conjecture, we deduce that \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ breaking shares the common origin with all CP violations. We study the common origin of \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ and CP breaking in the Dirac mass matrix of seesaw Lagrangian (with right-handed neutrinos being \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ blind), which uniquely leads to inverted mass ordering of light neutrinos. We then predict a very different correlation between the two small \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ breaking observables \ensuremathθ₁₃\ensuremath-0\ifmmode^∘\else\textdegree\fi and \ensuremathθ₂₃\ensuremath-45\ifmmode^∘\else\textdegree\fi, which can saturate the present experimental upper limit on \ensuremathθ₁₃. This will be tested against our previous normal mass-ordering scheme by the ongoing oscillation experiments. We also analyze the correlations of \ensuremathθ₁₃ with Jarlskog invariant and neutrinoless \ensuremathβ\ensuremathβ-decay observable. From the common origin of CP and \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ breaking in the neutrino seesaw, we establish a direct link between the low energy CP violations and the cosmological CP violation for baryon asymmetry. With these we further predict a lower bound on \ensuremathθ₁₃, supporting the ongoing probes of \ensuremathθ₁₃ at Daya Bay, Double Chooz, and RENO experiments. Finally, we analyze the general model-independent ℤ₂\ensuremath\bigotimesℤ₂ symmetry structure of the light neutrino sector, and map it into the seesaw sector, where one of the ℤ₂'s corresponds to the \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ symmetry ℤ₂^\ensuremathμ\ensuremathτ and another the hidden symmetry ℤ₂^s (revealed in our previous work) which dictates the solar mixing angle \ensuremathθ₁₂. We derive the physical consequences of this ℤ₂^s and its possible partial violation in the presence of \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ breaking (with or without the neutrino seesaw), regarding the \ensuremathθ₁₂ determination and the correlation between \ensuremathμ\mathrm\text\ensuremath-\ensuremathτ breaking observables.

Citations

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Cited by

• Consistency of perturbed tribimaximal, bimaximal and democratic mixing with neutrino mixing data
• Realizing tri-bimaximal mixing in minimal seesaw model with S4 family symmetry
• Neutrino mixing and leptogenesis inμ−τsymmetry