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Day-night effect in solar neutrino oscillations with three flavors
High Energy Physics - Phenomenology · Submitted 7 Nov 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Furthermore, we numerically study the effects of a non-zero $\theta_{13}$ on the day-night asymmetry at detectors and find that they are small.
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The abstract, sentence by sentence
We investigate the effects of a nonzero leptonic mixing angle $\theta_{13}$ on the solar neutrino day-night asymmetry. Using a constant matter density profile for the Earth and well-motivated approximations, we derive analytical expressions for the $\nu_e$ survival probabilities for solar neutrinos arriving directly at the detector and for solar neutrinos which have passed through the Earth. Furthermore, we numerically study the effects of a non-zero $\theta_{13}$ on the day-night asymmetry at detectors and find that they are small. Finally, we show that if the uncertainties in the parameters $\theta_{12}$ and $\Delta m^2$ as well as the uncertainty in the day-night asymmetry itself were much smaller than they are today, this effect could, in principle, be used to determine $\theta_{13}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the effects of a nonzero leptonic mixing angle $\theta_{13}$ on the solar neutrino day-night asymmetry. | contribution 0.97 | 0.82 | 0.07 | unclear 0.60 |
| s1 | Using a constant matter density profile for the Earth and well-motivated approximations, we derive analytical expressions for the $\nu_e$ survival probabilities for solar neutrinos arriving directly at the detector and for solar neutrinos which have passed through the Earth. | method 0.98 | 0.95 | 0.04 | asserted 0.99 |
| s2 | Furthermore, we numerically study the effects of a non-zero $\theta_{13}$ on the day-night asymmetry at detectors and find that they are small. | result 0.99 | 0.95 | 0.65 | asserted 1.00 |
| s3 | Finally, we show that if the uncertainties in the parameters $\theta_{12}$ and $\Delta m^2$ as well as the uncertainty in the day-night asymmetry itself were much smaller than they are today, this effect could, in principle, be used to determine $\theta_{13}$. | interpretation 0.83 | 0.78 | 0.28 | hedged possibility 0.97 |
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The paper
Original abstract
We investigate the effects of a nonzero leptonic mixing angle $\theta_{13}$ on the solar neutrino day-night asymmetry. Using a constant matter density profile for the Earth and well-motivated approximations, we derive analytical expressions for the $\nu_e$ survival probabilities for solar neutrinos arriving directly at the detector and for solar neutrinos which have passed through the Earth. Furthermore, we numerically study the effects of a non-zero $\theta_{13}$ on the day-night asymmetry at detectors and find that they are small. Finally, we show that if the uncertainties in the parameters $\theta_{12}$ and $\Delta m^2$ as well as the uncertainty in the day-night asymmetry itself were much smaller than they are today, this effect could, in principle, be used to determine $\theta_{13}$.
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References
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1 arXiv paper cite this in 1 sentence
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Cites it as background 1 paper
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Terrestrial matter effects could further modify the populations of neutrino eigenstates reaching the detector, leading to a day-night asymmetry as neutrinos arriving at night will have traversed the Earth [ref] .
Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1)_{L_\mu-L_\tau}$ · Matter-induced Solar Neutrino Oscillations · 0.81
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