Abstract
We examine the impact of Lorentz Invariance Violation (LIV) in measuring the octant of theta _{23} and CP phases in the context of the Deep Underground Neutrino Experiment (DUNE). We consider the CPT-violating LIV parameters involving e - mu (a_{emu }) and e - tau (a_{etau }) flavors, which induce an additional interference term in neutrino and antineutrino appearance probabilities. This new interference term depends on both the standard CP phase delta and the new dynamical CP phase varphi _{emu }/varphi _{etau }, giving rise to new degeneracies among (theta _{23}, delta , varphi ). Taking one LIV parameter at-a-time and considering a small value of |a_{emu }| = |a_{etau }| = 5 times 10^{-24} GeV, we find that the octant discovery potential of DUNE gets substantially deteriorated for unfavorable combinations of delta and varphi _{emu }/varphi _{etau }. The octant of theta _{23} can only be resolved at 3sigma if the true value of sin ^2theta _{23} lesssim 0.42 or > rsim 0.62 for any choices of delta and varphi . Interestingly, we also observe that when both the LIV parameters a_{emu } and a_{etau } are present together, they cancel out the impact of each other to a significant extent, allowing DUNE to largely regain its octant resolution capability. We also reconstruct the CP phases delta and varphi _{emu }/varphi _{etau }. The typical 1sigma uncertainty on delta is 10–15^{circ } and the same on varphi _{emu }/varphi _{etau } is 25–30^{circ } depending on the choices of their true values.
Highlights
(3ν) mixing paradigm that govern the oscillation phenomena: (a) three leptonic mixing angles (θ12, θ13, θ23), (b) one Dirac CP phase (δ), and c) two distinct mass-squared splittings1 ( m221, m232)
We examine the impact of Lorentz Invariance Violation (LIV) in measuring the octant of θ23 and CP phases in the context of the Deep Underground Neutrino Experiment (DUNE)
This experiment will perform a rigorous test of the three-flavor oscillation framework and play an important role to test the existence of various new physics scenarios if they at all exist in Nature
Summary
(3ν) mixing paradigm that govern the oscillation phenomena: (a) three leptonic mixing angles (θ12, θ13, θ23), (b) one Dirac CP phase (δ), and c) two distinct mass-squared splittings ( m221, m232). The upcoming high-precision long-baseline neutrino oscillation experiments are expected to resolve these crucial issues at high confidence level and to provide a rigorous test of the three-flavor neutrino oscillation framework in the presence of Earth’s matter effect [12,13,14] These experiments include Deep Underground Neutrino Experiment (DUNE) [15,16], Tokai to Hyper-Kamiokande (T2HK) [17], Tokai to HyperKamiokande with a second detector in Korea (T2HKK) [18], and European Spallation Source ν Super Beam (ESSνSB) [19,20]. In Appendix A, we explore the octant discovery potential of DUNE assuming the presence of LIV in data, but not in fit (theory)
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