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The 2-3 mixing and mass split: atmospheric neutrinos and magnetized spectrometers
High Energy Physics - Phenomenology · Submitted 2 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim ICAL can measure the difference of $\Delta m_{32}^2$ in $\nu$ and $\bar\nu$ channels (the CPT test) with accuracy $0.8\times 10^{-4}$ eV$^2$ (3$\sigma$) with 1 Mton$\cdot$yr exposure, and the present MINOS result can be excluded at $>5\sigma$ confidence level.
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The abstract, sentence by sentence
We study dependence of the atmospheric $\nu_\mu$ and $\bar{\nu}_\mu$ fluxes on the deviations of the 2-3 mixing from maximal, $|45^\circ - \theta_{23}|$, on the $\theta_{23}$-octant and on the neutrino mass splitting $\Delta m_{32}^2$. Analytic expressions for the $\theta_{23}-$deviation effect and the octant asymmetry are derived. We present conservative estimations of sensitivities of the iron (magnetized) calorimeter detectors (ICAL) to these parameters. ICAL can establish the $\theta_{23}$-deviation at higher than 3$\sigma$ confidence level if $| 45^\circ - \theta_{23}| > 6^{\circ}$ with the exposure of 1 Mton$\cdot$yr. Sensitivity to the octant is low for zero or very small 1-3 mixing, but it can be substantially enhanced for $\theta_{13} > 3^\circ$. ICAL can measure the difference of $\Delta m_{32}^2$ in $\nu$ and $\bar\nu$ channels (the CPT test) with accuracy $0.8\times 10^{-4}$ eV$^2$ (3$\sigma$) with 1 Mton$\cdot$yr exposure, and the present MINOS result can be excluded at $>5\sigma$ confidence level. We discuss possible ways to further improve sensitivity of the magnetized spectrometers.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study dependence of the atmospheric $\nu_\mu$ and $\bar{\nu}_\mu$ fluxes on the deviations of the 2-3 mixing from maximal, $|45^\circ - \theta_{23}|$, on the $\theta_{23}$-octant and on the neutrino mass splitting $\Delta m_{32}^2$. | contribution 0.99 | 0.72 | 0.04 | asserted 0.80 |
| s1 | Analytic expressions for the $\theta_{23}-$deviation effect and the octant asymmetry are derived. | contribution 0.53 | 0.94 | 0.05 | asserted 1.00 |
| s2 | We present conservative estimations of sensitivities of the iron (magnetized) calorimeter detectors (ICAL) to these parameters. | contribution 0.91 | 0.90 | 0.07 | asserted 0.93 |
| s3 | ICAL can establish the $\theta_{23}$-deviation at higher than 3$\sigma$ confidence level if $| 45^\circ - \theta_{23}| > 6^{\circ}$ with the exposure of 1 Mton$\cdot$yr. | result 1.00 | 0.85 | 0.25 | asserted 0.77 |
| s4 | Sensitivity to the octant is low for zero or very small 1-3 mixing, but it can be substantially enhanced for $\theta_{13} > 3^\circ$. | result 0.98 | 0.83 | 0.08 | asserted 0.67 |
| s5 | ICAL can measure the difference of $\Delta m_{32}^2$ in $\nu$ and $\bar\nu$ channels (the CPT test) with accuracy $0.8\times 10^{-4}$ eV$^2$ (3$\sigma$) with 1 Mton$\cdot$yr exposure, and the present MINOS result can be excluded at $>5\sigma$ confidence level. | result 1.00 | 0.82 | 0.31 | asserted 0.99 |
| s6 | We discuss possible ways to further improve sensitivity of the magnetized spectrometers. | future work 0.97 | 0.45 | 0.03 | hedged possibility 0.60 |
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The paper
Original abstract
We study dependence of the atmospheric $\nu_\mu$ and $\bar{\nu}_\mu$ fluxes on the deviations of the 2-3 mixing from maximal, $|45^\circ - \theta_{23}|$, on the $\theta_{23}$-octant and on the neutrino mass splitting $\Delta m_{32}^2$. Analytic expressions for the $\theta_{23}-$deviation effect and the octant asymmetry are derived. We present conservative estimations of sensitivities of the iron (magnetized) calorimeter detectors (ICAL) to these parameters. ICAL can establish the $\theta_{23}$-deviation at higher than 3$\sigma$ confidence level if $| 45^\circ - \theta_{23}| > 6^{\circ}$ with the exposure of 1 Mton$\cdot$yr. Sensitivity to the octant is low for zero or very small 1-3 mixing, but it can be substantially enhanced for $\theta_{13} > 3^\circ$. ICAL can measure the difference of $\Delta m_{32}^2$ in $\nu$ and $\bar\nu$ channels (the CPT test) with accuracy $0.8\times 10^{-4}$ eV$^2$ (3$\sigma$) with 1 Mton$\cdot$yr exposure, and the present MINOS result can be excluded at $>5\sigma$ confidence level. We discuss possible ways to further improve sensitivity of the magnetized spectrometers.
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References
How the literature uses it
11 arXiv papers cite this in 15 sentences
Papers citing it · 7 sentences without a confident label
Contests it 1 paper
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The reach of the INO experiment for measurement of oscillation parameters reported in [ref] are significantly underestimated and drastically different from previous studies [ref] due to improper binning of the data, improper incorporation of resolutions, rejection of high energy events $$ 10 GeV.
Comments on the reach of INO experiment: JHEP 1304, 009 (2013) and arXiv:1303.2534 [hep-ph] · Conclusion · contest 0.87
Cites it as background 5 papers
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The octant sensitivity for atmospheric neutrinos in the context of magnetized iron calorimeter detectors was considered in Refs. [ref] , for water Cerenkov detectors in Ref. [ref] and for LArTPC in Ref. [ref] .
Octant sensitivity for large theta(13) in atmospheric and long baseline neutrino experiments · Introduction · 0.96
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These effects are well known and their physics potential in iron-magnetized calorimeter, water-Čerenkov and liquid argon detectors has been thoroughly studied in the literature [ref] .
Exploring the Earth matter effect with atmospheric neutrinos in ice · Introduction · 0.92
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Determining the $$ through observation of earth matter effects in $P_μμ$ channel has been studied for atmospheric neutrino experiments with magnetized iron detectors [ref] , water Cerenkov detectors [ref] and liquid argon detectors [ref] .
Determining the Octant of $\theta_{23}$ with PINGU, T2K, NOvA and Reactor Data · Introduction · 0.90
What it cites · 21 sentences without a confident label
Uses the method or tool of 1 paper
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To evaluate physics potential of the atmospheric neutrino studies with a magnetized ICAL detector we generated the atmospheric neutrino events and considered the muon energy and direction (directly measurable quantities) using event generator NUANCE-v3 [ref] .
The nuance Neutrino Simulation, and the Future · The $χ^2$ analysis for ICAL · 1.00
Uses data or values from 7 papers
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Recently MINOS has reported the values of $Δm_31^2$ and $θ_23$ in the $ν̅$ channel [ref] which differ from those in the $ν$ channel (see tables [ref] and [ref]).
Measurement of the neutrino mass splitting and flavor mixing by MINOS · Introduction · 0.87
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According to [ref] we use $δ_Z=4%$ which leads to 2% vertical/horizontal flux uncertainty.
Calculation of atmospheric neutrino flux using the interaction model calibrated with atmospheric muon data · The $χ^2$ analysis for ICAL · 1.00
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We have assumed the Gaussian distribution of the uncertainties around the best fit with width $σ(sin^22θ_13) = 0.01$, $σ(sin^22θ_23) = 0.015$ and $σ(Δm_32^2)/ Δm_32^2=0.015$ following [ref] .
First hint for CP violation in neutrino oscillations from upcoming superbeam and reactor experiments · Adding priors to $χ^2$ · 0.89
Cites as background 7 papers
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Sensitivity of a magnetized calorimeter to the 2-3 mixing and mass splitting has been explored in [ref] and [ref] .
Neutrino oscillation probabilities: Sensitivity to parameters · Introduction · 0.87
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Sensitivity of a magnetized calorimeter to the 2-3 mixing and mass splitting has been explored in [ref] and [ref] .
Probing the deviation from maximal mixing of atmospheric neutrinos · Introduction · 0.87
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The problem of determination of $δ_23$ and the octant with atmospheric neutrinos has been addressed in a number of publications before [ref] .
Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation · Introduction · 1.00
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