REVIEW
Search for Dark Matter WIMPs using Upward Through-going Muons in Super-Kamiokande
High Energy Physics - Experiment · Submitted 21 Apr 2004 · 76 references
Pith's verdict: The upward-muon flux limits are solid and worth citing; the abstract's 'model-independent' cross-section limits rest on the Ref. [58] maximum ratio, which the authors' own Sec. V concedes can fail for Higgs/gluon channels.
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Referee report
The paper
The paper claims
Super-Kamiokande finds no high-energy neutrino excess from WIMP annihilation in the Sun, the Earth's core, or the Galactic Center, and turns that null result into upper limits on how strongly dark matter can scatter off nuclei.
The reading
What carries the argument
The load-bearing device is the mass-dependent angular cone. A WIMP of mass $m_chi$ produces muons whose angular spread about the source is set mainly by the neutrino-muon scattering angle, so light WIMPs give a wide signal and heavy WIMPs a narrow one; the authors use existing simulations to pick, for each mass, the half-angle containing 90% of the signal (about $2^circ$ at 10 TeV and $22^circ$ at 18 GeV for the Earth, $1.5^circ$ and $19^circ$ for the Sun), and correct for the fraction of signal the cone collects. The second device is the maximum direct-to-indirect rate ratio, a quantity built from the second moment of the neutrino energy spectrum summed over annihilation channels, which lets a measured muon flux limit be traded against a nuclear recoil rate without committing to a particular supersymmetric spectrum. Together these convert a counting experiment in a water tank into a statement about dark matter scattering in germanium and sodium iodide detectors.
Extended reading notes
Core claim
The central claim is a null result with teeth: over 1679.6 live days, the observed angular distributions of upward through-going muons about the Sun, the Earth's center, and the Galactic Center show no statistically significant excess over the atmospheric neutrino background in any half-angle cone from 5 to 30 degrees. From each cone the authors extract a 90% confidence upper limit on the excess neutrino-induced muon flux, using $N_{90}$ from the observed and expected counts divided by an exposure $E = A T$. Because the angular size of the expected signal shrinks with WIMP mass, they then choose, for each mass, the cone that would contain 90% of the signal, and plot flux limits from 18 GeV to 10 TeV for all three targets, comparing them with MACRO, Baksan, Kamiokande, IMB, and AMANDA. Finally, using the maximum ratio of direct-detection to indirect-detection rates computed by Kamionkowski and collaborators, they convert the combined Sun-plus-Earth flux limit into a 90% confidence upper limit on the spin-independent WIMP-nucleon cross-section, and the Sun-only limit into a bound on the spin-dependent WIMP-proton cross-section. The scalar limit excludes a significant portion of the region favored by the DAMA annual-modulation claim, and the spin-dependent limit is roughly two orders of magnitude more sensitive than the corresponding direct-detection bounds.
Load-bearing premise
The step from a measured muon flux limit to a WIMP-nucleon cross-section limit rests on the claim that the maximum ratio of direct to indirect detection rates computed elsewhere is a true upper bound for any neutralino, and the authors themselves note it can fail for WIMPs that annihilate mainly to Higgs bosons or gluons.
Editorial extensions
If this is right
- Any WIMP model whose spin-independent cross-section and mass place it inside the region excluded in the paper's scalar-coupling figure is inconsistent with the Super-K upward muon data, given the stated conversion assumptions.
- The spin-dependent WIMP-proton limits derived from the Sun-only flux limit reach roughly $10^{-36}$ to $10^{-34}$ cm$^2$ over the 18 GeV to 10 TeV range, about 100 times below the direct-detection bounds shown, so upward muon detectors are the more sensitive probe of axial-vector coupling to protons.
- The annual modulation reported by DAMA cannot be ascribed to a WIMP with axial-vector coupling to protons, since that parameter space is closed by null solar WIMP searches.
- Larger exposures and lower muon energy thresholds would tighten the flux limits proportionally, since the limits scale as $N_{90}/E$ with the effective area and livetime.
- The three targets probe different physics: the Earth is sensitive to spin-independent coupling with a resonance near the iron mass, the Sun to both scalar and axial-vector coupling through hydrogen, and the Galactic Center to the inner halo density profile.
Reading between the lines
- The dip near 56 GeV in the scalar cross-section limit is a capture resonance where the WIMP mass matches an abundant nucleus in the Earth, so the shape of the exclusion curve encodes the composition of the Earth as much as it encodes dark matter; a different assumed elemental abundance profile would move that feature.
- The discontinuities at roughly 80 GeV and 174 GeV are artifacts of switching which annihilation channel supplies the lower bound on the spectral second moment, which means a reader comparing this curve to a direct-detection curve should compare within a mass band, not across the jumps.
- The same cone-optimization logic applies directly to future large water Cherenkov and ice detectors: a modest gain in effective area at high energy buys a proportional gain in cross-section reach, so the natural next step is a joint cone-based stacking of Sun, Earth, and Galactic Center rather than separate limits.
- Because the conversion assumes the maximum rate ratio is an upper bound, any WIMP whose annihilation runs predominantly to Higgs bosons or gluons could sit outside the quoted exclusion without contradiction, which is a testable loophole for model builders rather than a defect of the data.
Original abstract
We present the results of indirect searches for Weakly Interacting Massive Particles (WIMPs) with 1679.6 live days of data from the Super-Kamiokande detector using neutrino-induced upward through-going muons. The search is performed by looking for an excess of high energy muon neutrinos from WIMP annihilations in the Sun, the core of the Earth, and the Galactic Center, as compared to the number expected from the atmospheric neutrino background. No statistically significant excess was seen. We calculate flux limits in various angular cones around each of the above celestial objects. We obtain conservative model-independent upper limits on WIMP-nucleon cross-section as a function of WIMP mass and compare these results with the corresponding results from direct dark matter detection experiments.
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
We present the results of indirect searches for Weakly Interacting Massive Particles (WIMPs) with 1679.6 live days of data from the Super-Kamiokande detector using neutrino-induced upward through-going muons. The search is performed by looking for an excess of high energy muon neutrinos from WIMP annihilations in the Sun, the core of the Earth, and the Galactic Center, as compared to the number expected from the atmospheric neutrino background. No statistically significant excess was seen. We calculate flux limits in various angular cones around each of the above celestial objects. We obtain conservative model-independent upper limits on WIMP-nucleon cross-section as a function of WIMP mass and compare these results with the corresponding results from direct dark matter detection experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present the results of indirect searches for Weakly Interacting Massive Particles (WIMPs) with 1679.6 live days of data from the Super-Kamiokande detector using neutrino-induced upward through-going muons. | contribution 0.87 | 0.97 | 0.05 | asserted 0.99 |
| s1 | The search is performed by looking for an excess of high energy muon neutrinos from WIMP annihilations in the Sun, the core of the Earth, and the Galactic Center, as compared to the number expected from the atmospheric neutrino background. | method 0.99 | 0.90 | 0.04 | asserted 0.98 |
| s2 | No statistically significant excess was seen. | result 1.00 | 0.96 | 0.87 | asserted 1.00 |
| s3 | We calculate flux limits in various angular cones around each of the above celestial objects. | method 0.74 | 0.96 | 0.02 | asserted 0.99 |
| s4 | We obtain conservative model-independent upper limits on WIMP-nucleon cross-section as a function of WIMP mass and compare these results with the corresponding results from direct dark matter detection experiments. | result 0.92 | 0.96 | 0.16 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
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- P abstract
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Figures
Showing 10 of the paper's 14 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:hep-ex/0404025 by the authors.
References
How later papers used it
103 later papers cite it
7 later papers by other authors are listed below: 4 used its data or values and 3 compared their own results with it.
Uses its data or values 4 of 22 papers with this label
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Used the upper limit for up-going muon flux from the center of the Earth provided by this paper to constrain the iDM model.
Neutrino Constraints on Inelastic Dark Matter after CDMS II (2010) · 1.00 · paraphrased: the licence does not allow quoting
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Conservatively took the maximal value in Fig. 8 of this paper as the Super-Kamiokande limit on the muon flux.
Exploring the singlet scalar dark matter from direct detections and neutrino signals via its annihilation in the Sun (2011) · 0.96 · paraphrased: the licence does not allow quoting
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Neglected the possibility of a particle-antiparticle asymmetry in the DM sector and derived constraints on leptophilic DM from this paper's Super-Kamiokande data.
Leptophilic Dark Matter in Direct Detection Experiments and in the Sun (2010) · 0.88 · paraphrased: the licence does not allow quoting
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Used this paper's Super-Kamiokande bound requiring the induced flux of muon tracks from a cone of half-width 30 degrees around the GC to be below 1.6e-14/s, using only events induced by neutrinos above 10 GeV.
On the role of electroweak bremsstrahlung for indirect dark matter signatures (2009) · 0.93 · paraphrased: the licence does not allow quoting
Compares with it 3 of 11 papers with this label
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Compared its predicted muon fluxes with the respective upper limit obtained by Super-Kamiokande in this paper, relating to an angle of 10 degrees around the Solar center.
Muon Flux Limits for Majorana Dark Matter Particles (2008) · 0.88 · paraphrased: the licence does not allow quoting
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Computed the total muon flux predicted from its model and confronted it with the Super-Kamiokande bounds from this paper.
Dark Matter Through the Neutrino Portal (2009) · 0.93 · paraphrased: the licence does not allow quoting
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Found that its best fit model's neutrino flux as a function of opening angle around the GC is consistent with the bounds of this paper.
Searching for Smoking Gun Signatures of Decaying Dark Matter (2009) · 0.95 · paraphrased: the licence does not allow quoting
How the literature uses it
99 arXiv papers cite this in 142 sentences
Papers whose main result relates to this one's
States the same result 2 papers
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No enhancement of the neutrino signal due to WIMP annihilation is seen, so upper limits on the possible flux of WIMPS are set.
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No excess has been found so far.
Searches for astronomical neutrino sources and WIMPs with Super-Kamiokande · 0.97
Papers citing it · 89 sentences without a confident label
Uses its data or values 22 papers
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Here we use the upper limit for up-going muon flux from the center of the Earth provided by Super-K [ref] to constrain the iDM model.
Neutrino Constraints on Inelastic Dark Matter after CDMS II · Neutrino Constraint from Terrestrial Inelastic Dark Matter Annihilations · 1.00
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According to the analysis of the Super-Kamiokande collaboration [ref] , 170 events were observed within an angular window of radius 36$^∘$ centered around the Sun, over 1679.6 live days.
The New DAMA Dark-Matter Window and Energetic-Neutrino Searches · Limits from muon production in Super-Kamiokande · 0.98
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Therefore we conservatively take $Φ_μ≤1.6 ×10^-14 cm^-2 s^-1$ (maximal value in Fig. 8 of Ref. [ref] ) for the Super-Kamiokande limit.
Exploring the singlet scalar dark matter from direct detections and neutrino signals via its annihilation in the Sun · Neutrino induced upgoing muon fluxes in the Super-Kamiokande · 0.96
Compares with it 10 papers
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We compare them with the respective upper limit obtained by Super-Kamiokande (SK) [ref] [equation] It relates to an angle of 10$^∘$ around the Solar center, that is expected to embrace most of the muon flux induced by annihilation in the Sun for the 2 masses of interest.
Muon Flux Limits for Majorana Dark Matter Particles · Muon flux from the captured 2 · 0.88
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We computed the total muon flux predicted from our model and confronted it with the Super-Kamiokande bounds from [ref] .
Dark Matter Through the Neutrino Portal · Neutrino bounds from Super-Kamiokande · 0.93
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This is a factor of $∼10$ stronger than the corresponding previous bound quoted in [ref] (used in [ref] ).
Neutrinos from Off-Shell Final States and the Indirect Detection of Dark Matter · $m_W < m_χ< m_t$ · 0.87
Cites it as background 16 papers
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Additionally, Super Kamiokande [ref] , AMANDA [ref] and IceCube [ref] have published limits on localized decay for dark matter particle masses around $∼1 - 10^4$ GeV.
Using Secondary Tau Neutrinos to Probe Heavy Dark Matter Decays in Earth · Introduction · 0.85
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Searches have also been conducted for neutrinos that could be produced through dark matter annihilation in the core of the Sun [ref] .
Searching for dark matter annihilation in the Sun with the IceCube Upgrade · Introduction · 0.95
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While a great deal of the parameter space for neutral LOLIPs is unexplored, some constraints already exists. �Collider constraints from low energy experiments have been covered in many different ways in [ref] . �However, if DM particles can annihilate into LOLIPs there are additional indirect constraints on some part of the parameter space. �These constraints roughly fall into three categories: existing neutrino telescope bounds, photon and electron fluxes from the Sun, and DM direct detection experiments. � If the LOLIPs subsequently decay into muons, then SuperK bounds from up-going muon searches from both the Sun and the Earth are relevant [ref] . �As explained in Section [ref], these searches are just a rough bound on the LOLIP scenario because utilize on neutrino induced muon events in SuperK. �
Searches for Long Lived Neutral Particles · Existing Constraints · 0.92
Discussion
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