Precise Formulation of Neutrino Oscillation in the Earth

Abstract

We give a perturbation theory of neutrino oscillation in the Earth. The perturbation theory is valid for neutrinos with energy $E \gsim 0.5$ GeV. It is formulated using trajectory dependent average potential. Non-adiabatic contributions are included as the first order effects in the perturbation theory. We analyze neutrino oscillation with standard matter effect and with non-standard matter effect. In a three flavor analysis we show that the perturbation theory gives a precise description of neutrino conversion in the Earth. Effect of the Earth matter is substantially simplified in this formulation.

References added, 21 pages, 10 figures, version to appear in PRD

References in corpus (44)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Measurement of Neutrino Oscillation by the K2K Experiment
• A Precise Determination of Electroweak Parameters in Neutrino-Nucleon Scattering
• Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
• Golden measurements at a neutrino factory
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• CP Violation and Matter Effect in Long Baseline Neutrino Oscillation Experiments
• Diffractive-Like (or Parametric-Resonance-Like?) Enhancement of the Earth (Day-Night) Effect for Solar Neutrinos Crossing the Earth Core
• Probing neutrino non-standard interactions with atmospheric neutrino data
• Parametric resonance of neutrino oscillations and passage of solar and atmospheric neutrinos through the earth
• Atmospheric neutrinos at Super-Kamiokande and parametric resonance in neutrino oscillations
• Systematic Exploration of the Neutrino Factory Parameter Space including Errors and Correlations
• New CP Violation in Neutrino Oscillations
• Atmospheric neutrinos as probes of neutrino-matter interactions
• Earth regeneration effect in solar neutrino oscillations: an analytic approach
• Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation
• Neutrino Mass Spectrum with ${\nu }_{\mu }$ $\to$ ${\nu }_s$ Oscillations of Atmospheric Neutrinos
• Confusing non-standard neutrino interactions with oscillations at a neutrino factory
• A test of tau neutrino interactions with atmospheric neutrinos and K2K
• Status of the solution to the solar neutrino problem based on non-standard neutrino interactions
• Oscillation enhanced search for new interaction with neutrinos
• Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
• Parametric Resonance in Oscillations of Atmospheric Neutrinos?
• Earth Matter Effects at Very Long Baselines and the Neutrino Mass Hierarchy
• Testing the Solar Neutrino Conversion with Atmospheric Neutrinos
• Probing Flavor Changing Neutrino Interactions Using Neutrino Beams from a Muon Storage Ring
• How sensitive is a neutrino factory to the angle ${\theta }_{13}$?
• Toward precision measurements in solar neutrinos
• Probing Non-Standard Neutrino Interactions with Neutrino Factories
• 1-3 leptonic mixing and the neutrino oscillograms of the Earth
• Two modes of searching for new neutrino interactions at MINOS
• Medium effects for terrestrial and atmospheric neutrino oscillations
• A simple analytic three-flavour description of the day-night effect in the solar neutrino flux
• Can ICARUS and OPERA ν_τ appearance experiments detect new flavor physics ?
• Neutrino oscillations in low density medium
• Matter Enhanced Neutrino Oscillations with a Realistic Earth Density Profile
• Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance
• Non-standard Hamiltonian effects on neutrino oscillations
• A precise analytical description of the Earth matter effect on oscillations of low energy neutrinos
• Neutrino oscillations with three flavors in matter of varying density
• Neutrino Oscillations with Two $\Delta m^2$ Scales
• CP violation and matter effect for a variable earth density in very long baseline experiments
• Effective Neutrino Mixing and Oscillations in Dense Matter

Cited by in corpus (11)

• Analytical Approximation of the Neutrino Oscillation Matter Effects at large ${\theta }_{13}$
• DUNE atmospheric neutrinos: Earth Tomography
• Perturbative exponential expansion and matter neutrino oscillations
• Day-Night Asymmetries in Active-Sterile Solar Neutrino Oscillations
• Model Independent Approach of the JUNO ${}^8$B Solar Neutrino Program
• CP-violating Phases in Active-Sterile Solar Neutrino Oscillations
• Detecting supernovae neutrino with Earth matter effect
• An accurate analytic description of neutrino oscillations in matter
• Neutrino oscillations in the presence of super-light sterile neutrinos
• From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes
• Signal of New Physics and Chemical Composition of Matter in Core Crossing Neutrinos