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Register a new userInterference between the Atmospheric and Solar Oscillation Amplitudes
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We propose to detect the interference effect between the atmospheric-scale and solar-scale waves of neutrino oscillation, one of the key consequences of the three-generation structure of leptons. In vacuum, we show that there is a natural and general way of decomposing the oscillation amplitude into these two oscillation modes. The nature of the interference is cleanest in the $bar{ u}_e$ disappearance channel since it is free from the CP-phase $delta$. We find that the upcoming JUNO experiment offers an ideal setting to observe this interference with more than $4,sigma$ significance, even under conservative assumptions about the systematic uncertainties.
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Observation of the interference between the atmospheric and solar oscillation waves with the correct magnitude would provide another manifestation of the three-generation structure of leptons. As a prerequisite for such analyses we develop a method for decomposing the oscillation $S$ matrix into the atmospheric and solar amplitudes. Though the similar method was recently proposed successfully in vacuum, once an extension into the matter environment is attempted, it poses highly nontrivial problems. Even for an infinitesimal matter potential, inherent mixture of the atmospheric and solar oscillation waves occurs, rendering a simple extension of the vacuum definition untenable. We utilize general kinematic structure as well as analyses of the five perturbative frameworks, in which the nature of matter-dressed atmospheric and solar oscillations are known, to understand the origin of the trouble, how to deal with the difficulty, and to grasp the principle of decomposition. Then, we derive the amplitude decomposition formulas in these frameworks, and discuss properties of the decomposed probabilities. We mostly discuss the $ u_{mu} rightarrow u_{e}$ channel, but a comparison with the $ u_{mu} rightarrow u_{tau}$ channel reveals an interesting difference.
Nambu Quantum Mechanics, proposed in Phys. Lett. B536, 305 (2002), is a deformation of canonical Quantum Mechanics in which only the time-evolution of the phases of energy eigenstates is modified. We discuss the effect this theory will have on oscillation phenomena, and place a bound on the deformation parameters utilizing the data on the atmospheric neutrino mixing angle $theta_{23}$.
98 -
A.N. Petrov
, L.V. Skripnikov (National Research Center Kurchatovn Institute B.P. Konstantinov Petersburg Nuclear Physics Institute
, Gatchina
2018
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The India-based Neutrino Observatory (INO) will host a 50 kt magnetized iron calorimeter (ICAL@INO) for the study of atmospheric neutrinos. Using the detector resolutions and efficiencies obtained by the INO collaboration from a full-detector GEANT4-based simulation, we determine the reach of this experiment for the measurement of the atmospheric neutrino mixing parameters ($sin^2 theta_{23}$ and $|Delta m_{32}^2 |$). We also explore the sensitivity of this experiment to the deviation of $theta_{23}$ from maximal mixing, and its octant.
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