REVIEW
Measurement of electron-neutrino electron elastic scattering
High Energy Physics - Experiment · Submitted 22 Jan 2001 · 36 references
Pith's verdict: A solid second measurement of νe–e elastic scattering; the physics holds, but Section 6's 'approximately 6 events' contradicts Table 3's 51-event subtraction and should be fixed.
T0 · AI review
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Referee report
The paper
The paper claims
LSND measures the rate at which electron neutrinos bounce off electrons and finds the destructive interference between the weak charged-current and neutral-current channels, at the size the Standard Model predicts.
The reading
What carries the argument
The load-bearing quantity is the interference parameter $I$, the coefficient of the term $2 I σ_0$ that appears when the $ν_e e^-$ cross section is written as $σ_{CC} + σ_I + σ_{NC}$. Because the charged-current amplitude enters the differential cross section as $(g_L + 2)^2$ rather than $g_L^2$, the interference is large and negative — roughly $-2σ_0$ in the Standard Model — so a total-rate measurement, not a delicate asymmetry, is enough to see it. The experimental machinery that makes the extraction possible is the angular separation: elastically scattered electrons are thrown sharply forward, peaking above $cos θ > 0.9$, while electrons from $^{12}C(ν_e, e^-)^{12}N$ and $^{13}C(ν_e, e^-)$ have a broad, nearly linear distribution in $cos θ$ that peaks backward. Fitting the observed $cos θ$ distribution to a forward-peaked elastic template plus a smooth background shape yields $59 ± 5$ background events under the peak, leaving 191 elastic events after also subtracting 24 $ν_μ e$ and 27 $ν̄_μ e$ events. Cosmic-ray background is removed by subtracting beam-off data scaled by the duty ratio of 0.0632, with particle identification separating electrons from neutron-induced events via the combined variable $χ_α = χ'_{tot} + 10(1-α)$.
Extended reading notes
Core claim
The paper's central claim is that the total cross section for $ν_e + e^- → ν_e + e^-$ has been measured with enough precision to resolve its interference term. Splitting the cross section into a pure charged-current piece $σ_{CC} = 4σ_0$, a neutral-current piece $σ_{NC} = 0.37σ_0$, and an interference piece $σ_I = 2 I σ_0$, the collaboration extracts $I$ from the measured total rate alone, since $I = σ_{exp}/(2σ_0) - 2.18$. They obtain $I = -1.01 ± 0.13(stat.) ± 0.12(syst.)$, in agreement with the Standard Model value $I^{SM} = -1.09$ that follows from $I = 2g_L = -2 + 4 sin^2 θ_W$ once radiative corrections are included. The corresponding cross section, $[10.1 ± 1.1 ± 1.0] × E_{ν_e}(MeV) × 10^{-45}$ cm$^2$, agrees with the predicted $9.3$ in the same units and with the earlier E225 measurement of $[10.0 ± 1.5 ± 0.9]$. Solving instead for the weak mixing angle gives $sin^2 θ_W = 0.248 ± 0.051$, and the residual agreement with collider values is converted into bounds on the electron-neutrino charge radius, $-2.97 × 10^{-32} < ⟨r^2⟩ < 4.14 × 10^{-32}$ cm$^2$, on flavor-changing neutral couplings, $1 - f_{ee} < 0.32$ at 90% confidence, and on magnetic moments, $μ_{ν_e} < 1.1 × 10^{-9} μ_{Bohr}$ and $μ_{ν_μ} < 6.8 × 10^{-10} μ_{Bohr}$.
Load-bearing premise
The 51 events attributed to muon-neutrino and antimuon-neutrino scattering on electrons — about a fifth of the elastic sample — are subtracted using theoretical cross sections rather than measured in the same detector, and the paper asserts without quantifying that the answer is insensitive to that choice.
Editorial extensions
If this is right
- The charged-current and neutral-current amplitudes in neutrino-electron scattering are confirmed to be coherent and to interfere destructively at the predicted strength, which is the same coherence that makes the reaction a sensitive probe of $sin^2 θ_W$.
- Any new physics that couples differently to the two channels — an extra $Z'$, a neutrino charge radius, or flavor-changing neutral currents — is bounded: $1 - f_{ee} < 0.32$ and $f_{eμ}^2 + f_{eτ}^2 < 0.54$ at 90% confidence.
- The muon-neutrino magnetic moment is capped at $6.8 × 10^{-10} μ_{Bohr}$, slightly tighter than previous laboratory limits, and the electron-neutrino magnetic moment at $1.1 × 10^{-9} μ_{Bohr}$.
- The electron-neutrino mean squared charge radius is constrained to roughly $|⟨r^2⟩| < 4 × 10^{-32}$ cm$^2$, corresponding to internal electromagnetic structure at the $10^{-16}$ cm scale.
- The measured cross section provides an independent, low-energy anchor for the same electroweak couplings that reactor and accelerator neutrino experiments extract at other energies.
Reading between the lines
- The interference term is the cleanest handle on coherence between two gauge-boson exchange amplitudes in the leptonic sector; a future stopped-pion experiment with a few times the exposure could push the uncertainty on $I$ below the roughly 10% level reported here and turn this from a confirmation into a precision constraint on non-standard neutral currents.
- Because $I$ is extracted from a total rate rather than a shape, its dominant systematic is the 7% decay-at-rest flux normalization inherited from a separate calibration experiment and beam-dump simulation; a dedicated flux measurement, or a ratio measurement against a reaction with the same flux, would attack the largest error bar directly.
- The same forward-peak-versus-isotropic angular separation used here generalizes to any low-energy neutrino source, so a reactor or spallation-source measurement of $ν_e e^-$ scattering with different systematics would test whether the agreement with the Standard Model survives a change of neutrino production mechanism.
- If the theoretical $ν_μ e$ and $ν̄_μ e$ cross sections used for background subtraction were wrong at the tens-of-percent level, the extracted $I$ would shift measurably, so an in-situ measurement of those channels in the same detector would tighten the result without new beam time.
Original abstract
The cross section for the elastic scattering reaction nu_e+e- -> nu_e+e- was measured by the Liquid Scintillator Neutrino Detector using a mu+ decay-at-rest nu_e beam at the Los Alamos Neutron Science Center. The standard model of electroweak physics predicts a large destructive interference between the charge current and neutral current channels for this reaction. The measured cross section, sigma_{nu_e e-}=[10.1 +- 1.1(stat.) +- 1.0(syst.)]x E_{nu_e} (MeV) x 10^{-45} cm^2, agrees well with standard model expectations. The measured value of the interference parameter, I=-1.01 +- 0.13(stat.) +- 0.12(syst.), is in good agreement with the standard model expectation of I^{SM}=-1.09. Limits are placed on neutrino flavor-changing neutral currents. An upper limit on the muon-neutrino magnetic moment of 6.8 x 10^{-10} mu_{Bohr} is obtained using the nu_mu and \bar{nu}_mu fluxes from pi+ and mu+ decay.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
The cross section for the elastic scattering reaction nu_e+e- -> nu_e+e- was measured by the Liquid Scintillator Neutrino Detector using a mu+ decay-at-rest nu_e beam at the Los Alamos Neutron Science Center. The standard model of electroweak physics predicts a large destructive interference between the charge current and neutral current channels for this reaction. The measured cross section, sigma_{nu_e e-}=[10.1 +- 1.1(stat.) +- 1.0(syst.)]x E_{nu_e} (MeV) x 10^{-45} cm^2, agrees well with standard model expectations. The measured value of the interference parameter, I=-1.01 +- 0.13(stat.) +- 0.12(syst.), is in good agreement with the standard model expectation of I^{SM}=-1.09. Limits are placed on neutrino flavor-changing neutral currents. An upper limit on the muon-neutrino magnetic moment of 6.8 x 10^{-10} mu_{Bohr} is obtained using the nu_mu and \bar{nu}_mu fluxes from pi+ and mu+ decay.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The cross section for the elastic scattering reaction nu_e+e- -> nu_e+e- was measured by the Liquid Scintillator Neutrino Detector using a mu+ decay-at-rest nu_e beam at the Los Alamos Neutron Science Center. | method 0.53 | 0.97 | 0.05 | asserted 1.00 |
| s1 | The standard model of electroweak physics predicts a large destructive interference between the charge current and neutral current channels for this reaction. | background 1.00 | 0.04 | 0.06 | asserted 1.00 |
| s2 | The measured cross section, sigma_{nu_e e-}=[10.1 +- 1.1(stat.) +- 1.0(syst.)]x E_{nu_e} (MeV) x 10^{-45} cm^2, agrees well with standard model expectations. | result 1.00 | 0.97 | 0.51 | asserted 0.98 |
| s3 | The measured value of the interference parameter, I=-1.01 +- 0.13(stat.) +- 0.12(syst.), is in good agreement with the standard model expectation of I^{SM}=-1.09. | result 0.99 | 0.96 | 0.30 | asserted 0.97 |
| s4 | Limits are placed on neutrino flavor-changing neutral currents. | result 0.96 | 0.91 | 0.05 | asserted 0.95 |
| s5 | An upper limit on the muon-neutrino magnetic moment of 6.8 x 10^{-10} mu_{Bohr} is obtained using the nu_mu and \bar{nu}_mu fluxes from pi+ and mu+ decay. | result 1.00 | 0.95 | 0.05 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
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- relations to other papers
- P abstract
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- T body sentences
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Figures
Figures reproduced from arXiv:hep-ex/0101039 by the authors.
References
How later papers used it
124 later papers cite it
4 later papers by other authors are listed below: 1 used its method or tool and 4 used its data or values. 1 of them appears under more than one label.
Uses its method or tool 1 of 2 papers with this label
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Based its analysis at LSND on this paper's electron-neutrino elastic scattering search, respecting the fiducial geometry and energy cuts described in it.
Dipole portal to heavy neutral leptons (2018) · 0.90 · paraphrased: the licence does not allow quoting
Uses its data or values 4 of 38 papers with this label
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Adopted the observed and expected distribution of beam-excess events at 18-50 MeV_ee published in Fig. 10 of this paper.
Constraints on Non-Standard Intermediate Boson Exchange Models from Neutrino-Electron Scattering (2017) · 1.00 · paraphrased: the licence does not allow quoting
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Examined Fig. 1 and 10 of this paper and noted that the incident neutrino flux favors energies between 30-50 while the collected electron-like sample peaks around 22.
Dipole portal to heavy neutral leptons (2018) · 0.86 · paraphrased: the licence does not allow quoting
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Estimated from Fig. 10 of this paper and Fig. 28 of another work that there are less than 20 decay-in-flight events above 140 MeV during the exposure.
Light Scalars and Dark Photons in Borexino and LSND Experiments (2017) · 0.99 · paraphrased: the licence does not allow quoting
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where the LSND result is obtained from the general bound reported in Ref. [ref] (see discussion below).
Neutrino magnetic moments: effective versus fundamental parameters (2025) · Bounds from short-baseline experiments · 0.98
How the literature uses it
112 arXiv papers cite this in 171 sentences
Papers citing it · 83 sentences without a confident label
Uses its method or tool 2 papers
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To derive the constraint, we may follow the procedure used in [ref] to put an upper bound on the neutrino magnetic dipole moments.
Heavy Neutral Leptons from Stopped Muons and Pions · New constraint: LSND · 0.99
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In order to obtain constraints, we base our analysis at LSND on an electron-neutrino elastic scattering search [ref] , respecting the fiducial geometry and energy cuts described in that paper.
Dipole portal to heavy neutral leptons · Backgrounds · 0.90
Uses its data or values 36 papers
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We have analyzed all available measurements of the (anti)neutrino-electron scattering from the following reactor and accelerator experiments: first measurement of neutrino-electron scattering made by Reines, Gurr and Sobel (Irvine) [ref] , the Kurchatov institute group at the Krasnoyarsk reactor [ref] , the group from Gatchina at the Rovno reactor [ref] , MUNU at the Bugey reactor [ref] , LAMPF [ref] and LSND [ref] .
Improved limit on electron neutrino charge radius through a new evaluation of the weak mixing angle · Introduction · 1.00
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They measured the flux-averaged cross-sections $σ̅_ν_e e^exp=(3.18±0.56)×10^-43 cm^2$ and $σ̅_ν_e e^exp=(3.19±0.48)×10^-43 cm^2$, respectively, corresponding to $σ_ν_e e^exp=(10.0±1.8)×10^-45 cm^2E̅_ν^/MeV$ and $σ_ν_e e^exp= (10.1±1.5)×10^-45 cm^2E̅_ν^/MeV$ [ref] with flux-averaged energy $E̅_ν≃31.7$ MeV, the statistical and systematic errors of each having been combined in quadrature.
Constraining Nonstandard Neutrino-Electron Interactions due to a New Light Spin-1 Boson · Constraints from $ν_e^e→νe$ · 1.00
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The strongest terrestrial bounds on the magnetic moment include LSND [ref] , $μ_ν_μ < 6.8 ×10^-10$ $μ_B$, and GEMMA [ref] , $μ_ν_e < 3.2 ×10^-11$ $μ_B$.
Using DUNE to Shed Light on the Electromagnetic Properties of Neutrinos · Neutrino Magnetic Moment · 0.96
Compares with it 11 papers
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We note that from this it appears that DUNE will be able to place the leading terrestrial constraint on the $ν_μ$ magnetic moment by exceeding the current bound from LSND [ref] , but still an order of magnitude worse compared to Borexino.
Using DUNE to Shed Light on the Electromagnetic Properties of Neutrinos · Neutrino Magnetic Moment · 0.93
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By reinterpreting an existing analysis on $ν-e$ elastic scattering we find sensitivity to a large region of the DM parameter space still unconstrained by present experimental probes such as LSND [ref] , E137 [ref] , NA64 [ref] , BaBar [ref] and CRESST-II [ref] .
Hunting sub-GeV dark matter with NO$\nu$A near detector · Introduction · 0.92
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Here, together with the various bounds obtained in this work we also show the 90% C.L. upper bounds on $|q_ν_μμ|$ obtained, respectively, in Ref. [ref] from the LSND [ref] bound on $|μ_ν_μ|$ and in the XMASS-I experiment [ref] from solar neutrino ES.[Also in the case of the XMASS-I limit, that is the most stringent one for $|q_ν_μμ|$, the electron-neutrino cross section is derived using an ab-initio multi-configuration relativistic random phase approximation [ref] that allows them to set more stringent limits.] Also in this case, the inclusion of the ES contribution significantly improves the bounds obtained for COHERENT, superseding the existing bounds from LSND concerning $|q_ν_eμ|$, while our bounds represent the only existing laboratory bounds for $|q_ν_eτ|$.
Impact of the Dresden-II and COHERENT neutrino scattering data on neutrino electromagnetic properties and electroweak physics · Neutrino electric charge · 0.92
Cites it as background 22 papers
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At proton beam dump experiments LSND [ref] and MiniBooNE [ref] , a proton beam is incident on a target and the following chain of interactions occur producing DM: $p p →X π^0 ; π^0 →γA'; A' →DM DM$, where in the inclusive process, $p p →X π^0$, $X$ denotes an unspecified/unmeasured set of particles, whereas $π^0$ can also be $η$ in the case of MiniBooNE where the energy is sufficient.
Spin-1 Thermal Targets for Dark Matter Searches at Beam Dump and Fixed Target Experiments · LSND and MiniBooNE · 0.84
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On the other hand, the Liquid Scintillator Neutrino Experiment (LSND) [ref] was conducted at Los Alamos National Laboratory between 1993 and 1998, primarily aimed at searching for short-baseline neutrino oscillations.
Neutrino magnetic moments: effective versus fundamental parameters · Bounds from short-baseline experiments · 0.92
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They can arise in simple frameworks in which a new gauge boson kinetically mixes with the photon [ref] . mCPs in the MeV to several GeV range have been identified as interesting targets for experimental analyses, with limits set by SLAC's milliQ [ref] , LSND [ref] , Fermilab's miniBoone [ref] and ArgoNeuT [ref] , and proposed dedicated experiments [ref] .
Millicharged Cosmic Rays and Low Recoil Detectors · Introduction · 0.87
Discussion
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