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Constraints on flavour-dependent long-range forces from atmospheric neutrino observations at Super-Kamiokande
High Energy Physics - Phenomenology · Submitted 17 Oct 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The Super-K data of oscillation of multi-GeV atmospheric neutrinos can be used to put an upper bound on coupling $\alpha_{e\tau}< 6.4 \times 10^{-52}$ and $\alpha_{e\mu}< 5.5 \times 10^{-52}$at 90% CL when the range of the force is the earth-sun distance.
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The abstract, sentence by sentence
In the minimal standard model it is possible to gauge any one of the following global symmetries in an anomaly free way: (i)$L_{e}-L_{\mu}$, (ii) $L_{e}-L_{\tau}$ or (iii) $L_{\mu}-L_{\tau}$. If the gauge boson corresponding to (i) or (ii) is (nearly) massless then it will show up as a long range composition dependent fifth force between macroscopic objects. Such a force will also influence neutrino oscillations due to its flavour-dependence. We show that the latter effect is quite significant in spite of very strong constraints on the relevant gauge couplings from the fifth force experiments. In particular, the $L_{e}- L_{\mu,\tau}$ potential of the electrons in the Sun and the earth is shown to suppress the atmospheric neutrino $\nu_\mu \to \nu_\tau$ oscillations which have been observed at Super-Kamiokande. The Super-K data of oscillation of multi-GeV atmospheric neutrinos can be used to put an upper bound on coupling $\alpha_{e\tau}< 6.4 \times 10^{-52}$ and $\alpha_{e\mu}< 5.5 \times 10^{-52}$at 90% CL when the range of the force is the earth-sun distance. This is an improvement by two orders on the earlier fifth force bounds in this range.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the minimal standard model it is possible to gauge any one of the following global symmetries in an anomaly free way: (i)$L_{e}-L_{\mu}$, (ii) $L_{e}-L_{\tau}$ or (iii) $L_{\mu}-L_{\tau}$. | background 1.00 | 0.07 | 0.03 | hedged possibility 0.74 |
| s1 | If the gauge boson corresponding to (i) or (ii) is (nearly) massless then it will show up as a long range composition dependent fifth force between macroscopic objects. | background 0.99 | 0.11 | 0.05 | asserted 0.73 |
| s2 | Such a force will also influence neutrino oscillations due to its flavour-dependence. | background 0.94 | 0.09 | 0.05 | asserted 0.94 |
| s3 | We show that the latter effect is quite significant in spite of very strong constraints on the relevant gauge couplings from the fifth force experiments. | result 0.64 | 0.85 | 0.25 | asserted 1.00 |
| s4 | In particular, the $L_{e}- L_{\mu,\tau}$ potential of the electrons in the Sun and the earth is shown to suppress the atmospheric neutrino $\nu_\mu \to \nu_\tau$ oscillations which have been observed at Super-Kamiokande. | result 0.94 | 0.89 | 0.47 | asserted 1.00 |
| s5 | The Super-K data of oscillation of multi-GeV atmospheric neutrinos can be used to put an upper bound on coupling $\alpha_{e\tau}< 6.4 \times 10^{-52}$ and $\alpha_{e\mu}< 5.5 \times 10^{-52}$at 90% CL when the range of the force is the earth-sun distance. | result 1.00 | 0.90 | 0.66 | asserted 0.92 |
| s6 | This is an improvement by two orders on the earlier fifth force bounds in this range. | interpretation 0.62 | 0.85 | 0.18 | asserted 1.00 |
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The paper
Original abstract
In the minimal standard model it is possible to gauge any one of the following global symmetries in an anomaly free way: (i)$L_{e}-L_{\mu}$, (ii) $L_{e}-L_{\tau}$ or (iii) $L_{\mu}-L_{\tau}$. If the gauge boson corresponding to (i) or (ii) is (nearly) massless then it will show up as a long range composition dependent fifth force between macroscopic objects. Such a force will also influence neutrino oscillations due to its flavour-dependence. We show that the latter effect is quite significant in spite of very strong constraints on the relevant gauge couplings from the fifth force experiments. In particular, the $L_{e}- L_{\mu,\tau}$ potential of the electrons in the Sun and the earth is shown to suppress the atmospheric neutrino $\nu_\mu \to \nu_\tau$ oscillations which have been observed at Super-Kamiokande. The Super-K data of oscillation of multi-GeV atmospheric neutrinos can be used to put an upper bound on coupling $\alpha_{e\tau}< 6.4 \times 10^{-52}$ and $\alpha_{e\mu}< 5.5 \times 10^{-52}$at 90% CL when the range of the force is the earth-sun distance. This is an improvement by two orders on the earlier fifth force bounds in this range.
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References
How the literature uses it
39 arXiv papers cite this in 86 sentences
Papers citing it · 51 sentences without a confident label
Uses its data or values 3 papers
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Reference [ref] used Super-Kamiokande atmospheric neutrino data to find $g_eμ^'< 8.32 ×10^-26$ and $g_eτ^'< 8.97 ×10^-26$, at 90% confidence level (C.L.) Reference [ref] used solar and reactor neutrino data from KamLAND to find $g_eμ^'< 2.06 ×10^-26$ and $g_eτ^'< 1.77 ×10^-26$, at 3$σ$, assuming $θ_13 = 0^∘$.
Flavor-dependent long-range neutrino interactions in DUNE & T2HK: alone they constrain, together they discover · Existing limits · 0.93
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In this form, in Ref. [ref] it was discussed that atmospheric neutrino data can constrain the strength of vector forces coupled to $L_e-L_μ$, $k_V (eμ)≤5.5 ×10^-52$, and to $L_e-L_τ$, $k_V (eτ)≤6.4 ×10^-52$ (at 90% CL) when the range of the force is the Earth-Sun distance.
Phenomenology with Massive Neutrinos · Leptonic Long Range Forces · 0.93
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Earlier bounds on $g_αβ$ using Super-Kamiokande data are: $g_e μ< 8.32 ×10^-26$ and $g_e τ< 8.97 ×10^-26$ at $90%$ confidence level [ref] .
Study of Long Range Force in P2SO and T2HKK · Sensitivity limits on $M_Z_αβ$ and $g_αβ$ · 0.93
Compares with it 6 papers
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This future limit from the DUNE (LBNO) experiment is almost 30 (70) times better than the existing bound from the SK experiment [ref] .
Exploring Flavor-Dependent Long-Range Forces in Long-Baseline Neutrino Oscillation Experiments · Summary and Conclusions · 0.99
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Figure [ref], and also Figs. [ref] and [ref], show that, for $L_e-L_μ$ and $L_e-L_τ$, our limits, both estimated for 2020 and forecast for 2040, improve on existing ones obtained from atmospheric neutrinos [ref] , solar and reactor neutrinos [ref] , reinterpretations [ref] of bounds on the coefficients of non-standard neutrino interactions (NSI) [ref] (see Appendix [ref]), and the recent global oscillation fit from [ref] .
Present and future constraints on flavor-dependent long-range interactions of high-energy astrophysical neutrinos · Results · 1.00
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This future limit on $α_eμ$ from ICAL at 90$%$ C.L. is $∼$ 46 times better than the existing limit from the Super-Kamiokande experiment [ref] .
Can INO be Sensitive to Flavor-Dependent Long-Range Forces? · Results · 1.00
Cites it as support 1 paper
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Because the new couplings are flavour diagonal, their effects in the evolution of atmospheric neutrinos do not change the hierarchy ([ref]) [ref] .
Constraints from Solar and Reactor Neutrinos on Unparticle Long-Range Forces · Unparticle Effects in Neutrino Oscillations in the Sun · 0.98
Cites it as background 20 papers
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For an example, the electrons inside the Sun can generate a flavor-dependent long-range potential $V_eμ/eτ$ at the Earth surface which has the following form [ref] , [equation] where $α_eμ/eτ = g^2_eμ/eτ/4π$ is the “fine structure constant" of the new abelian symmetry and $g_eμ/eτ$ is the corresponding gauge coupling.
Can INO be Sensitive to Flavor-Dependent Long-Range Forces? · Flavor-Dependent Long-Range Forces · 0.81
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For more discussions on these issues, see references [ref] .
Exploring Flavor-Dependent Long-Range Forces in Long-Baseline Neutrino Oscillation Experiments · Flavor-Dependent Long-Range Forces from Gauged $U(1)$ Symmetries · 0.95
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At present, the global analysis of data from oscillation experiments provides some of the strongest constraints on the size of interactions affecting the neutrino flavour evolution either in the contact [ref] or the long-range [ref] regime, while the experimental bounds on the solar antineutrino flux provides strong bounds on the neutrino magnetic-moment due to its associated SFP effect (for a recent analysis see Ref. [ref] and references therein).
Solar neutrinos and leptonic spin forces · Introduction · 0.91
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