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v2.1: Three-neutrino fit based on data available in May 2016


If you are using these results please refer to JHEP 11 (2014) 052 [arXiv:1409.5439] as well as NuFIT 2.1 (2016), www.nu-fit.org.


Parameter ranges

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Three-flavor oscillation parameters from our fit to global data as of May 2016. The results are presented for both 'LEM' (above) and 'LID' (below) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. The numbers in the 1st (2nd) column are obtained assuming NO (IO), i.e., relative to the respective local minimum, whereas in the 3rd column we minimize also with respect to the ordering. Note that Δm23ℓ = Δm231 > 0 for NO and Δm23ℓ = Δm232 < 0 for IO.


Leptonic mixing matrix

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3σ CL ranges of the magnitude of the elements of the three-flavour leptonic mixing matrix under the assumption of the matrix U being unitary, for both choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. The ranges in the different entries of the matrix are correlated due to the fact that, in general, the result of a given experiment restricts a combination of several entries of the matrix, as well as to the constraints imposed by unitarity. As a consequence choosing a specific value for one element further restricts the range of the others.


Two-dimensional allowed regions

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Global 3ν oscillation analysis. Each panel shows the two-dimensional projection of the allowed six-dimensional region after marginalization with respect to the undisplayed parameters. The different contours correspond to the two-dimensional allowed regions at 1σ, 90%, 2σ, 99%, 3σ CL (2 dof). The results are presented for both 'LEM' (colored regions) and 'LID' (black contours) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. Note that as atmospheric mass-squared splitting we use Δm231 for NO and Δm232 for IO. The regions in the lower 4 panels are based on a Δχ2 minimized with respect to the mass ordering.


One-dimensional χ2 projections

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Global 3ν oscillation analysis. The red (blue) curves are for Normal (Inverted) Ordering. The results are presented for both 'LEM' (solid lines) and 'LID' (dashed lines) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. Note that as atmospheric mass-squared splitting we use Δm231 for NO and Δm232 for IO.


CP-violation: Jarlskog invariant

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Dependence of Δχ2 on the Jarlskog invariant. The red (blue) curves are for NO (IO). The results are presented for both 'LEM' (solid lines) and 'LID' (dashed lines) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included.


CP-violation: unitarity triangles

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The six leptonic unitarity triangles. After scaling and rotating each triangle so that two of its vertices always coincide with (0,0) and (1,0), we plot the 1σ, 90%, 2σ, 99%, 3σ CL (2 dof) allowed regions of the third vertex. The results are presented for both 'LEM' (colored regions) and 'LID' (black contours) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. Note that in the construction of the triangles the unitarity of the U matrix is always explicitly imposed.


Tension between Solar and KamLAND data

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Left: Allowed parameter regions (at 1σ, 90%, 2σ, 99%, 3σ CL for 2 dof) from the combined analysis of solar data for GS98 model (colored regions with best fit marked by black star) and AGSS09 model (dashed black contours with best fit marked by a white dot), and for the analysis of KamLAND data (solid green contours with best fit marked by a green star) for fixed θ13 = 8.5°. We also show as orange contours the results of a global analysis for the GS98 model but without including the day-night information from SK. Right: Δχ2 dependence on Δm221 for the same three analysis after marginalizing over θ12.


Tendencies: contribution of different data

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Cumulative contribution of different sets of experimental results to the present tendencies in the determination of the mass ordering, the octant of θ23 and of the CP violating phase. Left (right) panels are for IO (NO). Violet: results of the NuFIT 2.0 analysis after updating the solar and reactor data. Blue: same as violet, plus IceCube/DeepCore atmospheric ν data. Green: same as blue, plus T2K νμ-disappearance and νe-appearance data. Red & orange: same as green, plus NOνA νμ-disappearance and LEM (red) or LID (orange) νe-appearance data.


Tendencies: correlation between δCP and other parameters

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Allowed regions from the global data at 1σ, 90%, 2σ, 99%, 3σ CL (2 dof) after minimizing with respect to all undisplayed parameters. The results are presented for both 'LEM' (colored regions) and 'LID' (black contours) choices of the NOνA νe-appearance data. The normalization of reactor fluxes is left free and data from short-baseline reactor experiments are included. The upper (lower) panel corresponds to IO (NO). Note that as atmospheric mass-squared splitting we use Δm231 for NO and Δm232 for IO.


Available data files

We provide one- and two-dimensional Δχ2 projections for both LEM (Normal and Inverted Ordering) and LID (Normal and Inverted Ordering) analyses. A description of the content of these files and a summary of the data included in our analysis can be found here.