From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes
arXiv:2308.00037 · doi:10.1007/JHEP11(2023)033
Abstract
In this note we describe how to complement the neutrino evolution matrix calculated at a given energy and trajectory with additional information which allows to reliably extrapolate it to nearby energies or trajectories without repeating the full computation. Our method works for arbitrary matter density profiles, can be applied to any propagation model described by an Hamiltonian, and exactly guarantees the unitarity of the evolution matrix. As a straightforward application, we show how to enhance the calculation of the theoretical predictions for experimentally measured quantities, so that they remain accurate even in the presence of fast neutrino oscillations. Furthermore, the ability to "move around" a given energy and trajectory opens the door to precise interpolation of the oscillation amplitudes within a grid of tabulated values, with potential benefits for the computation speed of Monte-Carlo codes. We also provide a set of examples to illustrate the most prominent features of our approach.
arXiv comment31 pages, 4 figures
References in corpus (86)
- The fate of hints: updated global analysis of three-flavor neutrino oscillations
- Simulation of long-baseline neutrino oscillation experiments with GLoBES
- New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
- Golden measurements at a neutrino factory
- Sterile Neutrino Oscillations: The Global Picture
- A new Generation of Standard Solar Models
- Atmospheric neutrino flux calculation using the NRLMSISE00 atmospheric model
- Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
- Series expansions for three-flavor neutrino oscillation probabilities in matter
- Efficient numerical diagonalization of hermitian 3x3 matrices
- 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
- 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
- CP and T violation test in neutrino oscillation
- Exact Formulas and Simple CP dependence of Neutrino Oscillation Probabilities in Matter with Constant Density
- Unitarity and the three flavour neutrino mixing matrix
- Neutrino Propagation in Matter
- Earth regeneration effect in solar neutrino oscillations: an analytic approach
- Three flavor neutrino oscillations in matter
- CP and T Violation in Neutrino Oscillations and Invariance of Jarlskog's Determinant to Matter Effects
- T violation in neutrino oscillations in matter
- CP Violation vs. Matter Effect in Long-Baseline Neutrino Oscillation Experiments
- Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
- Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter
- Compact Perturbative Expressions For Neutrino Oscillations in Matter
- Measuring Leptonic CP Violation by Low Energy Neutrino Oscillation Experiments
- Enhancing Mechanisms of Neutrino Transitions in a Medium of Nonperiodic Constant - Density Layers and in the Earth
- Toward precision measurements in solar neutrinos
- Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions
- Probing the deviation from maximal mixing of atmospheric neutrinos
- 1-3 leptonic mixing and the neutrino oscillograms of the Earth
- Large-Theta(13) Perturbation Theory of Neutrino Oscillation for Long-Baseline Experiments
- Neutrino oscillograms of the Earth: effects of 1-2 mixing and CP-violation
- Non-standard interactions and the CP phase measurements in neutrino oscillations at low energies
- Simple and Compact Expressions for Neutrino Oscillation Probabilities in Matter
- A simple analytic three-flavour description of the day-night effect in the solar neutrino flux
- Neutrino oscillations in low density medium
- Analytical Approximation of the Neutrino Oscillation Matter Effects at large
- A framework for testing leptonic unitarity by neutrino oscillation experiments
- Overall Feature of CP dependence for Neutrino Oscillation Probability in Arbitrary Matter Profile
- Analytical description of quasivacuum oscillations of solar neutrinos
- Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance
- The minimum width condition for neutrino conversion in matter
- Extrinsic CPT Violation in Neutrino Oscillations in Matter
- A precise analytical description of the Earth matter effect on oscillations of low energy neutrinos
- Neutrino oscillation probabilities through the looking glass
- Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter
- Interplay between Appearance and Disappearance Channels for Precision Measurements of and
- Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
- Neutrino oscillations with three flavors in matter of varying density
- nuSQuIDS: A toolbox for neutrino propagation
- T-violation search with very long baseline neutrino oscillation experiments
- Matter effects in oscillations of neutrinos traveling short distances in matter
- Three Neutrino Oscillations in Matter
- Simple and Precise Factorization of the Jarlskog Invariant for Neutrino Oscillations in Matter
- Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter
- Standard versus Non-Standard CP Phases in Neutrino Oscillation in Matter with Non-Unitarity
- Vacuum mimicking phenomena in neutrino oscillations
- Matter Effect of Light Sterile Neutrino: An Exact Analytical Approach
- Precise Formulation of Neutrino Oscillation in the Earth
- Compact Perturbative Expressions for Oscillations with Sterile Neutrinos in Matter
- Parameter symmetries of neutrino oscillations in vacuum, matter, and approximation schemes
- Perturbing neutrino oscillations around the solar resonance
- Signatures of the genuine and matter-induced components of the CP violation asymmetry in neutrino oscillations
- Describing neutrino oscillations in matter with Magnus expansion
- Compact Perturbative Expressions for Neutrino Oscillations in Matter: II
- Why Is The Neutrino Oscillation Formula Expanded In Still Accurate Near The Solar Resonance In Matter?
- Neutrino Oscillation in Dense Matter
- Improvements on perturbative oscillation formulas including non-standard neutrino Interactions
- Looking into Analytical Approximations for Three-flavor Neutrino Oscillation Probabilities in Matter
- Large Non-perturbative Effects of Small Δm^2_{21}/Δm^2_{31} and \sin θ_{13} on Neutrino Oscillation and CP Violation in Matter
- On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter
- Here Comes the Sun: Solar Parameters in Long-Baseline Accelerator Neutrino Oscillations
- Exact series solution to the two flavor neutrino oscillation problem in matter
- Discriminating sterile neutrinos and unitarity violation with CP invariants
- Neutrino amplitude decomposition in matter
- Interference between the Atmospheric and Solar Oscillation Amplitudes
- Fibonacci Fast Convergence for Neutrino Oscillations in Matter
- An Effective Two-Flavor Approximation for Neutrino Survival Probabilities in Matter
- The atmospheric neutrino anomaly without maximal mixing?
- Interplay between the factorization of the Jarlskog Invariant and location of the Solar and Atmospheric Resonances for Neutrino Oscillations in Matter
- Neutrino amplitude decomposition: Toward observing the atmospheric - solar wave interference
- Analytical description of CP violation in oscillations of atmospheric neutrinos traversing the Earth
- Magnus Expansion and Three-Neutrino Oscillations in Matter
- Aproximative solutions to the neutrino oscillation problem in matter