Abstract
In this paper, we have analysed the latest data from NOnu A and T2K with the Lorentz invariance violation along with the standard oscillation hypothesis. We have found that the NOnu A data cannot distinguish between the two hypotheses at 1, sigma confidence level. T2K data and the combined data analysis excludes standard oscillation at 1, sigma . All three cases do not have any hierarchy sensitivity when analysed with LIV. There is a mild tension between the two experiments, when analysed with LIV, as {theta _{23}} at NOnu A best-fit is at higher octant but the same for T2K is at lower octant. The present data from accelerator neutrino long baseline experiments lose octant determination sensitivity when analysed with LIV. The tension between the two experiments is also reduced when the data are analysed with LIV.
Highlights
The three flavour neutrino oscillation phenomenon is parameterised by the unitary Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix: ⎡ c13 c12 s12 c13 s13e−iδC P ⎤U = ⎣ −s12c23 − c12s23s13eiδC P c12c23 − s12s23s13eiδC P s23c13 ⎦, s12s23 − s13c12c23eiδC P −c12s23 − s13c23s12eiδC P c23c13 (1.1)where ci j = cos θi j and si j = sin θi j
We found out that the minimum χ 2 for NOνA (T2K) with 50 (88) bins is 47.71 (93.14) and it is at normal hierarchy (NH)
One can conclude that the tension between the two experiments gets reduced when the data are analysed with Lorentz invariance violation (LIV)
Summary
The three flavour neutrino oscillation phenomenon is parameterised by the unitary Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix:. It is expected that the current accelerator based long baseline neutrino oscillation experiments NOνA [10] and T2K [11] will measure these unknowns by measuring the νμ → νe oscillation probabilities in presence of matter effect. Both the experiments have published their latest analysis. −2.498+−00..002288 any hint of CPT violating LIV in the individual as well as combined data set and whether the tension between the two experiments can be resolved with the help of this new physics hypothesis. Till date no study has been made to look for LIV/CPT violation in the long baseline accelerator neutrino oscillation experiments data. We will test the model with the latest data from NOνA and T2K and try to see if there is
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