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Impacts of the observed theta_{13} on the running behaviors of Dirac and Majorana neutrino mixing angles and CP-violating phases

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arxiv 1203.3118 v3 pith:VUFVD23T submitted 2012-03-14 hep-ph hep-ex

classification hep-phhep-ex
keywords thetamixingcircanglescp-violatingphasesscaleneutrino
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The recent observation of the smallest neutrino mixing angle $\theta_{13}$ in the Daya Bay and RENO experiments motivates us to examine whether $\theta_{13} \simeq 9^\circ$ at the electroweak scale can be generated from $\theta_{13} = 0^\circ$ at a superhigh-energy scale via the radiative corrections. We find that it is difficult but not impossible in the minimal supersymmetric standard model (MSSM), and a relatively large $\theta_{13}$ may have some nontrivial impacts on the running behaviors of the other two mixing angles and CP-violating phases. In particular, we demonstrate that the CP-violating phases play a crucial role in the evolution of the mixing angles by using the one-loop renormalization-group equations of the Dirac or Majorana neutrinos in the MSSM. We also take the "correlative" neutrino mixing pattern with $\theta_{12} \simeq 35.3^\circ$, $\theta_{23} = 45^\circ$ and $\theta_{13} \simeq 9.7^\circ$ at a presumable flavor symmetry scale as an example to illustrate that the three mixing angles can receive comparably small radiative corrections and thus evolve to their best-fit values at the electroweak scale if the CP-violating phases are properly adjusted.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. RG Running of Multiple Neutrino Mixing Parameters at Oscillation Experiments

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Combining DUNE-ND, JUNO-TAO, and FASERν2 data can disentangle multiple model-independent RG running parameters of neutrino mixing and resolve degeneracies.

  2. Testing the RG Running of the Leptonic Dirac CP Phase with Reactor Neutrinos

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The JUNO-TAO reactor experiment could constrain the renormalization-group running beta function of the Dirac CP phase to about βδ ≈ 0.1, if spectrum-shape systematics are controlled.

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