Global fit to three neutrino mixing: critical look at present precision

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Abstract

We present an up-to-date global analysis of solar, atmospheric, reactor, and accelerator neutrino data in the framework of three-neutrino oscillations. We provide results on the determination of theta_13 from global data and discuss the dependence on the choice of reactor fluxes. We study in detail the statistical significance of a possible deviation of theta_23 from maximal mixing, the determination of its octant, the ordering of the mass states, and the sensitivity to the CP violating phase, and discuss the role of various complementary data sets in those respects.

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Phenomenology with Massive Neutrinos

M. Gonzalez-Garcia, Michele Maltoni (2007)

The current status and some perspectives of the phenomenology of massive neutrinos is reviewed. We start with the phenomenology of neutrino oscillations in vacuum and in matter. We summarize the results of neutrino experiments using solar, atmospheric, reactor and accelerator neutrino beams. We update the leptonic parameters derived from the three-neutrino oscillation interpretation of this data. We describe the method and present results on our understanding of the solar and atmospheric neutrino fluxes by direct extraction from the corresponding neutrino event rates. We present some tests of different forms of new physics which induce new sources of leptonic flavor transitions in vacuum and in matter which can be performed with the present neutrino data. The aim and potential of future neutrino experiments and facilities to further advance in these fronts is also briefly summarized. Last, the implications of the LSND observations are discussed, and the status of extended models which could accommodate all flavor-mixing signals is presented in the light of the recent results from MiniBooNE.

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Where we are on \(\theta_{13}\): addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"

Thomas Schwetz, J. W. F. Valle, Mariam Tortola (2011)

In this addendum to arXiv:1103.0734 we consider the recent results from long-baseline \(\nu_\mu\to\nu_e\) searches at the T2K and MINOS experiments and investigate their implications for the mixing angle \(\theta_{13}\) and the leptonic Dirac CP phase \(\delta\). By combining the \(2.5\sigma\) indication for a non-zero value of \(\theta_{13}\) coming from T2K data with global neutrino oscillation data we obtain a significance for \(\theta_{13} > 0\) of about \(3\sigma\) with best fit points \(\sin^2\theta_{13} = 0.013(0.016)\) for normal (inverted) neutrino mass ordering. These results depend somewhat on assumptions concerning the analysis of reactor neutrino data.