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Interplay between Appearance and Disappearance Channels for Precision Measurements of $\theta_{23}$ and $\delta$
High Energy Physics - Phenomenology · Submitted 10 Jun 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The relative importance between the appearance and disappearance channels depends upon the particular setup and how close to maximal mixing Nature has chosen the value for $\theta_{23}$.
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The abstract, sentence by sentence
We discuss how the CP violating phase $\delta$ and the mixing angle $\theta_{23}$ can be measured precisely in an environment where there are strong correlations between them. This is achieved by paying special attention to the mutual roles and the interplay between the appearance and the disappearance channels in long-baseline neutrino oscillation experiments. We analyze and clarify the general structure of the $\theta_{23} - \theta_{13} - \delta$ degeneracy for both the appearance and disappearance channels in a more complete fashion than what has previously been discussed in the literature. A full understanding of this degeneracy is of vital importance if $\theta_{23}$ is close to maximal mixing. The relative importance between the appearance and disappearance channels depends upon the particular setup and how close to maximal mixing Nature has chosen the value for $\theta_{23}$. For facilities that operate with a narrow band beam or a wide band beam centered on the first oscillation extremum, the contribution of the disappearance channel depends critically on the systematic uncertainties assumed for this channel. Whereas for facilities that operate at energies above the first oscillation extremum or at the second oscillation extremum the appearance channels dominate. On the other hand, for $\delta$ we find that the disappearance channel usually improves the sensitivity, modestly for facilities around the first oscillation extremum and more significantly for facilities operating at an energy above the first oscillation extremum, especially near $\delta \sim \pm \pi/2$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss how the CP violating phase $\delta$ and the mixing angle $\theta_{23}$ can be measured precisely in an environment where there are strong correlations between them. | contribution 0.74 | 0.57 | 0.30 | asserted 0.70 |
| s1 | This is achieved by paying special attention to the mutual roles and the interplay between the appearance and the disappearance channels in long-baseline neutrino oscillation experiments. | method 0.93 | 0.66 | 0.13 | asserted 1.00 |
| s2 | We analyze and clarify the general structure of the $\theta_{23} - \theta_{13} - \delta$ degeneracy for both the appearance and disappearance channels in a more complete fashion than what has previously been discussed in the literature. | contribution 0.99 | 0.91 | 0.09 | asserted 1.00 |
| s3 | A full understanding of this degeneracy is of vital importance if $\theta_{23}$ is close to maximal mixing. | background 0.55 | 0.10 | 0.07 | asserted 0.95 |
| s4 | The relative importance between the appearance and disappearance channels depends upon the particular setup and how close to maximal mixing Nature has chosen the value for $\theta_{23}$. | result 0.75 | 0.56 | 0.19 | asserted 0.99 |
| s5 | For facilities that operate with a narrow band beam or a wide band beam centered on the first oscillation extremum, the contribution of the disappearance channel depends critically on the systematic uncertainties assumed for this channel. | result 0.95 | 0.67 | 0.06 | asserted 1.00 |
| s6 | Whereas for facilities that operate at energies above the first oscillation extremum or at the second oscillation extremum the appearance channels dominate. | result 0.97 | 0.71 | 0.08 | asserted 1.00 |
| s7 | On the other hand, for $\delta$ we find that the disappearance channel usually improves the sensitivity, modestly for facilities around the first oscillation extremum and more significantly for facilities operating at an energy above the first oscillation extremum, especially near $\delta \sim \pm \pi/2$. | result 1.00 | 0.91 | 0.22 | asserted 0.99 |
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Original abstract
We discuss how the CP violating phase $\delta$ and the mixing angle $\theta_{23}$ can be measured precisely in an environment where there are strong correlations between them. This is achieved by paying special attention to the mutual roles and the interplay between the appearance and the disappearance channels in long-baseline neutrino oscillation experiments. We analyze and clarify the general structure of the $\theta_{23} - \theta_{13} - \delta$ degeneracy for both the appearance and disappearance channels in a more complete fashion than what has previously been discussed in the literature. A full understanding of this degeneracy is of vital importance if $\theta_{23}$ is close to maximal mixing. The relative importance between the appearance and disappearance channels depends upon the particular setup and how close to maximal mixing Nature has chosen the value for $\theta_{23}$. For facilities that operate with a narrow band beam or a wide band beam centered on the first oscillation extremum, the contribution of the disappearance channel depends critically on the systematic uncertainties assumed for this channel. Whereas for facilities that operate at energies above the first oscillation extremum or at the second oscillation extremum the appearance channels dominate. On the other hand, for $\delta$ we find that the disappearance channel usually improves the sensitivity, modestly for facilities around the first oscillation extremum and more significantly for facilities operating at an energy above the first oscillation extremum, especially near $\delta \sim \pm \pi/2$.
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References
How the literature uses it
17 arXiv papers cite this in 22 sentences
Papers citing it · 13 sentences without a confident label
Cites it as support 1 paper
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Furthermore, recently it has been pointed out in Ref. [ref] that, the CP violating phase $δ_CP$ and the mixing angle $θ_23$ can be measured precisely in an environment where there are strong correlations between them.
Revisiting the sensitivity studies for leptonic CP violation and mass hierarchy with T2K, NOvA and LBNE experiments · Effect of Mass Hierarchy and $θ_23$ octant on $δ_CP$ Sensitivity · 0.97
Cites it as background 8 papers
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The determination of $$ in long-baseline experiments is constrained by the parameter degeneracy [ref] .
Reason for T2K to run in dominant neutrino mode for detecting CP violation · Introduction · 0.89
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The determination of the oscillation parameters at beam experiments is, in general, hindered by the appearance of degenerate solutions, cf. e.g., Refs. [ref] .
Physics potential of the ESS$\nu$SB · Measurements at the second oscillation peak · 0.85
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While $θ_13$ is already well measured and the interplay between a more precise measurement of $θ_23$ and $δ$ at future LBL experiments has been studied before [ref] , the role of the solar parameters, $Δm^2_21$ and $θ_12$, in the leptonic CPV measurement has not been analysed in detail.
Here Comes the Sun: Solar Parameters in Long-Baseline Accelerator Neutrino Oscillations · The role of the solar parameters in the CPV measurement · 0.80
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