Constraining the Violation of Equivalence Principle with IceCube Atmospheric Neutrino Data

Abstract

The recent high-statistics high-energy atmospheric neutrino data collected by IceCube open a new window to probe new physics scenarios that are suppressed in lower energy neutrino experiments. In this paper we analyze the IceCube atmospheric neutrino data to constrain the Violation of Equivalence Principle (VEP) in the framework of three neutrinos with non-universal gravitational couplings. In this scenario the effect of VEP on neutrino oscillation probabilities can be parametrized by two parameters $\Delta {\gamma }_{21}\equiv {\gamma }_2-{\gamma }_1$ and $\Delta {\gamma }_{31}\equiv {\gamma }_3-{\gamma }_1$, where ${\gamma }_i$'s denote the coupling of neutrino mass eigenstates to gravitational field. By analyzing the latest muon-tracks data sets of IceCube-40 and IceCube-79, besides providing the 2D allowed regions in $(\varphi \Delta {\gamma }_{21},\varphi \Delta {\gamma }_{31})$ plane, we obtain the upper limits $|\varphi \Delta {\gamma }_{21}|<9.1\times 10^{-27}$ (at 90\% C.L.) which improves the previous limit by $\sim 4$ orders of magnitude and $|\varphi \Delta {\gamma }_{31}|\lesssim 6\times 10^{-27}$ (at 90\% C.L.) which improves the current limit by $\sim 1$ order of magnitude. Also we discuss in detail and analytically the effect of VEP on neutrino oscillation probabilities.

15 pages, 5 figures, v2: references added, matches the version published in PRD

References in corpus (12)

• Global fit to three neutrino mixing: critical look at present precision
• Calculation of atmospheric neutrino flux using the interaction model calibrated with atmospheric muon data
• Matter-gravity couplings and Lorentz violation
• Measurement of the atmospheric neutrino energy spectrum from 100 GeV to 400 TeV with IceCube
• Global three-parameter model for neutrino oscillations using Lorentz violation
• Physics Reach of High-Energy and High-Statistics IceCube Atmospheric Neutrino Data
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Phenomenology of the Equivalence Principle with Light Scalars
• Measurement of the Atmospheric ${\nu }_e$ flux in IceCube
• Dark-Matter-Induced Weak Equivalence Principle Violation
• Neutrino telescope modelling of Lorentz invariance violation in oscillations of atmospheric neutrinos

Cited by in corpus (2)

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