High Energy Physics - Phenomenology · arXiv:2103.13431 v1 · submitted 24 Mar 2021
Evolution of Neutrino Mass-Mixing Parameters in Matter with Non-Standard Interactions
The paper says
“We demonstrate the utility of our approach in addressing several important features related to neutrino oscillation such as: a) unraveling interesting degeneracies between θ23 and NSI parameters, b) estimating the resonance energy in presence of NSI when θ13 in matter becomes maximal, c) figuring out the required baselines and energies to have maximal matter effect in νμ → νe transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters εμτ and (γ−β) on the νμ → νμ survival probability.”
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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 εμτ and (γ−β) ≡ (εττ−εμμ) affect the running of θ23. Though all the NSI parameters influence the evolution of θ13, εeμ and εeτ show a stronger impact at the energies relevant for DUNE. θ12 quickly approaches to ∼ 90° with increasing energy in both SI and SI+NSI cases. The change in Δm221,m is quite significant as compared to Δm231,m 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 θ23 and NSI parameters, b) estimating the resonance energy in presence of NSI when θ13 in matter becomes maximal, c) figuring out the required baselines and energies to have maximal matter effect in νμ → νe transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters εμτ and (γ−β) on the νμ → νμ survival probability.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.52 · randomized assignment 0.01 · states quantitative result 0.73 · compares with prior results 0.39 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| 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. | contribution 0.94 | 0.89 | 0.06 | unclear 0.48 |
| 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). | method 0.54 | 0.96 | 0.10 | asserted 1.00 |
| We observe that only the NSI parameters in the (2,3) block, namely $\varepsilon_{\mu\tau}$ and $(\gamma - \beta) \equiv (\varepsilon_{\tau\tau} - \varepsilon_{\mu\mu})$ affect the running of $\theta_{23}$. | result 1.00 | 0.94 | 0.18 | asserted 1.00 |
| Though all the NSI parameters influence the evolution of $\theta_{13}$, $\varepsilon_{e\mu}$ and $\varepsilon_{e\tau}$ show a stronger impact at the energies relevant for DUNE. | result 1.00 | 0.91 | 0.10 | asserted 1.00 |
| $\theta_{12}$ quickly approaches to $\sim$ $90^{\circ}$ with increasing energy in both SI and SI+NSI cases. | result 1.00 | 0.90 | 0.08 | asserted 1.00 |
| The change in $\Delta m^2_{21,m}$ is quite significant as compared to $\Delta m^2_{31,m}$ both in SI and SI+NSI frameworks. | result 1.00 | 0.90 | 0.09 | asserted 1.00 |
| Flipping the signs of the NSI parameters alters the way in which mass-mixing parameters run with energy. | result 1.00 | 0.89 | 0.15 | asserted 1.00 |
| 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 $\nu_{\mu}$ $\rightarrow$ $\nu_{e}$ transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters $\varepsilon_{\mu\tau}$ and $(\gamma - \beta)$ on the $\nu_{\mu} \to \nu_{\mu}$ survival probability. | contribution 0.92 | 0.93 | 0.32 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
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Cited by 2 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
14 arXiv papers cite this in 22 sentences
Papers citing it · 11 sentences without a confident label
Uses its method or tool 2 papers
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The analytical expressions for the oscillation probabilities in the presence of LRF for $L_e-L_μ$ and $L_e-L_τ$ cases have been derived in Ref. [ref] and for the $L_μ-L_τ$ case, one can follow the formalism described in Ref. [ref] .
Study of Long Range Force in P2SO and T2HKK · Analytical Expressions · 0.88
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The resonance energy under LRI in the one-mass-scale-dominance (OMSD, $Δm^2_31L/4E$ $>>Δm^2_21L/4E$) approximation and assuming $θ_23 = 45^∘$, is given by [ref] , [equation] where [equation] is the resonance energy in presence of standard charged-current interactions.
A plethora of long-range neutrino interactions probed by DUNE and T2HK · Effect of long-range interactions on neutrino oscillation parameters · 0.82
Cites it as support 2 papers
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We choose $ε_μτ$ as the NSI parameter to focus on, since it can significantly affect the evolution of the mixing angle $θ_23$ and the mass-squared difference $Δm^2_32$ in matter [ref] , which in turn would alter the survival probabilities of atmospheric muon neutrinos and antineutrinos substantially [ref] .
A New Approach to Probe Non-Standard Interactions in Atmospheric Neutrino Experiments · Introduction and Motivation · 0.96
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Because the baseline for DUNE is longer than for T2HK, the effects of long-range interactions with underground matter on the probabilities in the former are more prominent than in the latter [ref] .
Flavor-dependent long-range neutrino interactions in DUNE & T2HK: alone they constrain, together they discover · Oscillation probabilities · 0.99
Cites it as background 4 papers
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Interaction of neutrinos with a scalar field and also its cosmological impacts has been studied vastly in the literature [ref] .
Screening models and neutrino oscillations · Introduction · 0.99
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For studies on NSI, we refer to Refs. [ref] and for studies in LIV, we refer to Refs. [ref] .
Distinguishing Non-Standard Interaction and Lorentz Invariance Violation at Protvino to Super-ORCA experiment · Introduction · 0.99
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In this work, we focus only on the NC-NSI, which have been studied extensively in literature [ref] .
$\delta_{CP}$-free constraints on NSI parameters $\varepsilon_{e\mu}$ and $\varepsilon_{e\tau}$ using high-purity $\nu_\mu$ CC events at IceCube DeepCore · Introduction and motivation · 0.96
What it cites · 37 sentences without a confident label
Uses the method or tool of 1 paper
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We use the vacuum probability expression for $ν_μ →ν_e$ appearance [ref] and replace the vacuum oscillation parameters with their modified counterparts in matter with SI and NSI (Eqs. [ref]-[ref] and Eqs. [ref]-[ref]) and use this modified probability expression for plotting Fig. [ref]. $θ_23$ in vacuum is considered to be maximal.
Analytical Approximation of the Neutrino Oscillation Matter Effects at large $\theta_{13}$ · Impact of NSI in $ν_μ-ν_e$ appearance channel · 0.81
Uses data or values from 1 paper
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Now, we use the bounds ($2σ$) on $ε_αβ^u$ and $ε_αβ^d$ from the global fit analysis [ref] and list the subsequent $2σ$ bounds on the effective NSI parameters $ε_αβ$ in Table [ref].
Updated Constraints on Non-Standard Interactions from Global Analysis of Oscillation Data · Theoretical Formalism of NSI · 1.00
Compares with 1 paper
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Note that under the OMSD approximation, the resonance energy condition in Eq. [ref] takes a very simple form: $(λ_3 - Â -s^2_13) = 0$ and we make use of this expression in Eq. [ref] to obtain Eq. [ref], which exactly matches with the expression derived by the authors in Ref. [ref] .
Large Matter Effects in ${{\nu_\mu \to \nu_\tau}}$ Oscillations · Impact of NSI in $ν_μ-ν_e$ appearance channel · 0.98
Cites as background 57 papers
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One such interesting BSM scenario is non-standard neutrino interactions (NSI) [ref] which is the main focus of this paper.
Global constraints on muon-neutrino non-standard interactions · Introduction and Motivation · 0.95
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One such interesting BSM scenario is non-standard neutrino interactions (NSI) [ref] which is the main focus of this paper.
Determination of matter potential from global analysis of neutrino oscillation data · Introduction and Motivation · 0.95
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One such interesting BSM scenario is non-standard neutrino interactions (NSI) [ref] which is the main focus of this paper.
Non-Standard Interactions: Atmospheric versus Neutrino Factory Experiments · Introduction and Motivation · 0.95
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