Lorentz Violation in Neutrino Oscillations Using IceCube Atmospheric Neutrino Interferometry

Lorentz invariance is a fundamental symmetry of spacetime underpinning the Standard Model and our understanding of high-energy phenomena in particle physics. However, beyond the quantum gravity scale, we expect the Standard Model to be replaced with a more fundamental, covariant theory giving a quantum description of gravity. The effective theory arising from this theory can break Lorentz invariance and thus predicts observables that exhibit low-energy manifestations of Lorentz violation. In particular, these observables could be a subleading contribution to neutrino oscillations and could therefore explain anomalous flavor measurements. The Standard-Model Extension formalism describing such an effective theory predicts terms whose characteristic oscillation length becomes significant at atmospheric-neutrino energies accessible by the IceCube Neutrino Observatory. We describe past measurements and efforts to extend these using ten years of data along with a new energy reconstruction to study ν_μ disappearance.