Abstract
A number of different effects of the violation of the Equivalence Principle (VEP), taken as sub-leading mechanism of neutrino flavor oscillation, are examined within the framework of the DUNE experiment. We study the possibility of obtaining a misleading neutrino oscillation parameter region caused by our unawareness of VEP. Additionally, we evaluate the impact on the measurement of CP violation and the distinction of neutrino mass hierarchy at DUNE. Besides, limits on VEP for a wide variety of textures of the matrix that connects neutrino gravity eigenstates to flavor eigenstates are imposed. An extra-task of our study is to set limits on Hamiltonian added terms considering different energy dependencies ($E^n$, with $n=0,1,2,3$) that can be associated to the usual Lorentz violating terms defined in the Standard Model Extension Hamiltonian. In order to understand our results, approximated analytical three neutrino oscillation probability formulae are derived.
Highlights
The neutrino oscillation is caused by slight differences between neutrino masses, which are already small in themselves, and the lack of coincidence between neutrino mass eigenstates and flavor eigenstates [1,2,3,4,5,6,7,8,9]
The long-distance interferometry characteristic of neutrino oscillations, in addition to their energy dependency, allows us to test subleading effects that can be produced by a variety of beyond standard oscillation physics such as nonstandard interaction [10,11,12,13,14], neutrino decay [15,16,17,18,19,20,21,22,23,24], quantum decoherence [25,26,27,28,29,30,31], among others [32,33,34]
We are moving toward a neutrino oscillation physics precision era which implies that our sensitivity for performing searches for signatures from nonstandard physics would be increased as well
Summary
The neutrino oscillation is caused by slight differences between neutrino masses (squared masses), which are already small in themselves, and the lack of coincidence between neutrino mass eigenstates and flavor eigenstates [1,2,3,4,5,6,7,8,9]. One example of subleading nonstandard physics that can be probed through oscillation physics is the violation of equivalence principle (VEP). The weak equivalence principle states that, given a gravitational field, the trajectory followed by any falling body is independent of its mass. In the weak field limit, it says that in a given gravitational field all bodies fall in vacuum with the same acceleration, regardless of their masses. We evaluate how its projected precision measurements of (sensitivity to) neutrino oscillation parameters could be affected by the presence of subleading VEP effects.
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