Evolution of Neutrino Mass-Mixing Parameters in Matter with Non-Standard Interactions

Abstract

We explore the role of matter effect in the evolution of neutrino oscillation parameters in the presence of lepton-flavor-conserving and lepton-flavor-violating neutral-current non-standard interactions (NSI) of the neutrino. We derive simple approximate analytical expressions showing the evolution/running of mass-mixing parameters in matter with energy in the presence of standard interactions (SI) and SI+NSI (considering both positive and negative values of real NSI parameters). We observe that only the NSI parameters in the (2,3) block, namely ${\epsilon }_{\mu \tau }$ and $(\gamma -\beta )\equiv ({\epsilon }_{\tau \tau }-{\epsilon }_{\mu \mu })$ affect the running of ${\theta }_{23}$. Though all the NSI parameters influence the evolution of ${\theta }_{13}$, ${\epsilon }_{e\mu }$ and ${\epsilon }_{e\tau }$ show a stronger impact at the energies relevant for DUNE. ${\theta }_{12}$ quickly approaches to $\sim$ $90^{\circ }$ with increasing energy in both SI and SI+NSI cases. The change in $\Delta m_{21,m}^2$ is quite significant as compared to $\Delta m_{31,m}^2$ both in SI and SI+NSI frameworks. Flipping the signs of the NSI parameters alters the way in which mass-mixing parameters run with energy. We demonstrate the utility of our approach in addressing several important features related to neutrino oscillation such as: a) unraveling interesting degeneracies between ${\theta }_{23}$ and NSI parameters, b) estimating the resonance energy in presence of NSI when ${\theta }_{13}$ in matter becomes maximal, c) figuring out the required baselines and energies to have maximal matter effect in ${\nu }_{\mu }$ $\to$ ${\nu }_e$ transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters ${\epsilon }_{\mu \tau }$ and $(\gamma -\beta )$ on the ${\nu }_{\mu }\to {\nu }_{\mu }$ survival probability.

arXiv comment37 pages, 13 figures, 2 tables. Comments are welcome

References in corpus (78)

• Evidence for oscillation of atmospheric neutrinos
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Neutrino Physics with JUNO
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Phenomenology with Massive Neutrinos
• Simulation of long-baseline neutrino oscillation experiments with GLoBES
• 2020 Global reassessment of the neutrino oscillation picture
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Golden measurements at a neutrino factory
• Theory of Neutrinos: A White Paper
• Status of non-standard neutrino interactions
• First measurement of neutrino oscillation parameters using neutrinos and antineutrinos by NOvA
• Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Neutrino masses and mixings and...
• Measurement of electron antineutrino oscillation with 1958 days of operation at Daya Bay
• Non standard neutrino interactions
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• Non-standard neutrino interactions in reactor and superbeam experiments
• CP Violation and Matter Effect in Long Baseline Neutrino Oscillation Experiments
• Atmospheric Neutrino Oscillations and New Physics
• Measurement of Atmospheric Neutrino Oscillations at 6-56 GeV with IceCube DeepCore
• Physics Potential of the ICAL detector at the India-based Neutrino Observatory (INO)
• Non-Standard Neutrino Interactions and Neutrino Oscillation Experiments
• COHERENT analysis of neutrino generalized interactions
• Neutrino Non-Standard Interactions: A Status Report
• Updated Constraints on Non-Standard Interactions from Global Analysis of Oscillation Data
• Determination of matter potential from global analysis of neutrino oscillation data
• CP and T violation test in neutrino oscillation
• A Very Intense Neutrino Super Beam Experiment for Leptonic CP Violation Discovery based on the European Spallation Source Linac: A Snowmass 2013 White Paper
• New CP Violation in Neutrino Oscillations
• Exact Formulas and Simple CP dependence of Neutrino Oscillation Probabilities in Matter with Constant Density
• Lepton Flavor Violating Non-Standard Interactions via Light Mediators
• Three flavor neutrino oscillations in matter
• Improved constraints on neutrino mixing from the T2K experiment with $3.13\times 10^{21}$ protons on target
• Flavor Gauge Models Below the Fermi Scale
• Neutrinophilic Non-Standard Interactions
• CP and T Violation in Neutrino Oscillations and Invariance of Jarlskog's Determinant to Matter Effects
• Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
• Scalar Non-Standard Interactions in Neutrino Oscillation
• Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
• Oscillation enhanced search for new interaction with neutrinos
• Non-Standard Interactions: Atmospheric versus Neutrino Factory Experiments
• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Compact Perturbative Expressions For Neutrino Oscillations in Matter
• Earth Matter Effects at Very Long Baselines and the Neutrino Mass Hierarchy
• Probing Non-Standard Neutrino Interactions with Neutrino Factories
• Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions
• Testing matter effects in propagation of atmospheric and long-baseline neutrinos
• Large-Theta(13) Perturbation Theory of Neutrino Oscillation for Long-Baseline Experiments
• Global constraints on muon-neutrino non-standard interactions
• Lepton Flavorful Fifth Force and Depth-dependent Neutrino Matter Interactions
• Global Analysis of the post-SNO Solar Neutrino Data for Standard and Non-Standard Oscillation Mechanisms
• Simple and Compact Expressions for Neutrino Oscillation Probabilities in Matter
• Medium effects for terrestrial and atmospheric neutrino oscillations
• Analytical Approximation of the Neutrino Oscillation Matter Effects at large ${\theta }_{13}$
• Enhancing sensitivity to neutrino parameters at INO combining muon and hadron information
• Large Matter Effects in ${\nu }_{\mu }\to {\nu }_{\tau }$ Oscillations
• On the massless "just-so" solution to the solar neutrino problem
• Neutrino oscillation probabilities through the looking glass
• Non-Standard Neutrino Interactions in the mu-tau sector
• Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions
• Three Neutrino Oscillations in Matter
• Approximative two-flavor framework for neutrino oscillations with nonstandard interactions
• Experiment Simulation Configurations Approximating DUNE TDR
• A New Approach to Probe Non-Standard Interactions in Atmospheric Neutrino Experiments
• Renormalization-Group Equations of Neutrino Masses and Flavor Mixing Parameters in Matter
• Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
• From oscillation dip to oscillation valley in atmospheric neutrino experiments
• Enhancing Sensitivity to Non-Standard Neutrino Interactions at INO combining muon and hadron information
• Measuring the atmospheric neutrino oscillation parameters and constraining the 3+1 neutrino model with ten years of ANTARES data
• On the exact formula for neutrino oscillation probability by Kimura, Takamura and Yokomakura
• On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter
• Exploring Flavor-Dependent Long-Range Forces in Long-Baseline Neutrino Oscillation Experiments
• Detecting atmospheric neutrino oscillations in the ATLAS detector at CERN
• Probing Non-Standard Neutrino Physics at Neutrino Factory and T2KK

Cited by in corpus (3)

• Exploring SMEFT Induced Non-Standard Interactions from COHERENT to Neutrino Oscillations
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Screening models and neutrino oscillations