Exploring NSI degeneracies in long-baseline experiments

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Abstract

One of the main purposes of long-baseline neutrino experiments is to unambiguously measure the CP violating phase in the neutrino sector within the three neutrino oscillation picture. In the presence of physics beyond the Standard Model, the determination of the CP phase will be more difficult, due to the already known degeneracy problem. Working in the framework of nonstandard interactions (NSI), we compute the appearance probabilities in an exact analytical formulation and analyze the region of parameters where this degeneracy problem is present. We also discuss some cases where the degeneracy of the NSI parameters can be probed in long-baseline experiments.

Figures

  • FIG. 1. Scatter plot of the standard CP violating phase, δ, and the nonstandard parameter, εeτ, for a free nonstandard CP phase, φeτ. We show the dots that satisfy the biprobability region predicted by the standard oscillation picture. The first three panels show the case of T2K, NOνA, and DUNE, while the bottom-right panel shows the values that satisfy simultaneously the three experiments. The uncertainties that define the appearance biprobability region, the baseline, and the average energy used for these plots are shown in Table I.
  • FIG. 2. Biprobability plots for the DUNE proposal, varying φeτ from 0 to 2π, for a fixed value of the NSI magnitude of εeτ and the CP phase, δ. The gray solid line represents the SM case, for varying δ. Guided by the scatter plot from Fig. 1, we find ellipses that pass through the appearance biprobability region (considering a value of δ ¼ 3π=2) marked with a cross. For the DUNE proposal we use L ¼ 1300 km and an average energy Eν ¼ 3 GeV.
  • FIG. 3. Biprobability plots for the DUNE proposal, considering only εee different from zero and varying δ from 0 to 2π. We show four ellipses, each for a different value of εee, along with the SM case (solid gray line). The appearance probability region for DUNE is marked with a cross, considering a value of δ ¼ 3π=2. We consider again L ¼ 1300 km and an average energy Eν ¼ 3 GeV. The presence of this diagonal NSI term only affects the standard charged-current potential as a small correction displacing the ellipse.
  • TABLE I. Expected uncertainties for the neutrino and antineutrino appearance probability for long-baseline neutrino experiment. In the last two columns the characteristic baselines and average beam energy are shown.
  • FIG. 4. Biprobability plots for the DUNE proposal, varying δ from 0 to 2π, for particular values of εeτ and for φeτ ¼ 0ð3π=2Þ for the left (right) panel. The gray solid line stands for the SM case, and its prediction at δ ¼ 3π=2 is shown with a cross, including its uncertainties, which are displayed in Table I. In both panels we can see that different values of εeτ change the orientation and size of the ellipse. The black line corresponds to a fixed value of δ ¼ 3π=2 and φeτ ¼ 0ð3π=2Þ, while varying εeτ in the range ½−0.3; 0.3 , (½−0.3; 0.4 ). In this black curve the yellow stars show its intersection with the ellipses.

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APA

Flores, L. J., Garcés, E. A., & Miranda, O. G. (2018). Exploring NSI degeneracies in long-baseline experiments. Physical Review D, 98(3). https://doi.org/10.1103/PhysRevD.98.035030

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