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REVIEW 4 major objections 5 minor 39 references

Search for neutron decay into an antineutrino and a neutral kaon in 0.401 megaton-years exposure of Super-Kamiokande

T0 review · 4 major / 5 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read A search with 0.401 megaton-years of Super-Kamiokande data finds no evidence for the baryon-number-violating decay of a bound neutron into an antineutrino and a neutral kaon, and sets a 90% C.L.

desk verdict Solid SK search with a factor-of-six improvement, but the limit's absolute scale leans on an unvalidated kaon-interaction model. read the letter →

arxiv 2506.14406 v1 pith:4E545TVW submitted 2025-06-17 hep-ex

Super-Kamiokande Collaboration: K. Yamauchi , K. Abe , S. Abe , Y. Asaoka , M. Harada , Y. Hayato , K. Hiraide , K. Hosokawa
show 255 more authors
K. Ieki M. Ikeda J. Kameda Y. Kanemura Y. Kataoka S. Miki S. Mine M. Miura S. Moriyama M. Nakahata S. Nakayama Y. Noguchi G. Pronost K. Sato H. Sekiya K. Shimizu R. Shinoda M. Shiozawa Y. Suzuki A. Takeda Y. Takemoto H. Tanaka T. Yano Y. Itow T. Kajita R. Nishijima K. Okumura T. Tashiro T. Tomiya X. Wang P. Fernandez L. Labarga D. Samudio B. Zaldivar B. W. Pointon C. Yanagisawa E. Kearns J. Mirabito L. Wan T. Wester J. Bian B. Cortez N. J. Griskevich Y. Jiang M. B. Smy H. W. Sobel V. Takhistov A. Yankelevich J. Hill M. C. Jang S. H. Lee D. H. Moon R. G. Park B. S. Yang B. Bodur K. Scholberg C. W. Walter A. Beauchêne O. Drapier A. Ershova Th. A. Mueller A. D. Santos P. Paganini C. Quach R. Rogly T. Nakamura J. S. Jang R. P. Litchfield L. N. Machado F. J. P. Soler J. G. Learned K. Choi N. Iovine D. Tiwari S. Cao L. H. V. Anthony D. Martin N. W. Prouse M. Scott Y. Uchida V. Berardi N. F. Calabria M. G. Catanesi N. Ospina E. Radicioni A. Langella G. De Rosa G. Collazuol M. Feltre M. Mattiazzi L. Ludovici M. Gonin L. Périssé B. Quilain S. Horiuchi A. Kawabata M. Kobayashi Y. M. Liu Y. Maekawa Y. Nishimura R. Okazaki R. Akutsu M. Friend T. Hasegawa Y. Hino T. Ishida T. Kobayashi M. Jakkapu T. Matsubara T. Nakadaira K. Nakamura Y. Oyama A. Portocarrero Yrey K. Sakashita T. Sekiguchi T. Tsukamoto N. Bhuiyan G. T. Burton F. Di Lodovico J. Gao T. Katori J. Migenda R. M. Ramsden S. Zsoldos H. Ito T. Sone A. T. Suzuki Y. Takagi Y. Takeuchi S. Wada H. Zhong J. Feng L. Feng S. Han J. Hikida J. R. Hu Z. Hu M. Kawaue T. Kikawa T. Nakaya T. V. Ngoc R. A. Wendell K. Yasutome S. J. Jenkins N. McCauley A. Tarrant M. Fanì M. J. Wilking Z. Xie Y. Fukuda H. Menjo Y. Yoshioka J. Lagoda M. Mandal J. Zalipska M. Mori M. Jia J. Jiang W. Shi K. Hamaguchi H. Ishino Y. Koshio F. Nakanishi S. Sakai T. Tada T. Tano T. Ishizuka G. Barr D. Barrow L. Cook S. Samani D. Wark A. Holin F. Nova S. Jung J. Y. Yang J. Yoo J. E. P. Fannon L. Kneale M. Malek J. M. McElwee T. Peacock P. Stowell M. D. Thiesse L. F. Thompson S. T. Wilson H. Okazawa S. M. Lakshmi E. Kwon M. W. Lee J. W. Seo I. Yu A. K. Ichikawa K. D. Nakamura S. Tairafune A. Eguchi S. Goto S. Kodama Y. Mizuno T. Muro K. Nakagiri Y. Nakajima N. Taniuchi E. Watanabe M. Yokoyama P. de Perio S. Fujita C. Jesús-Valls K. Martens Ll. Marti K. M. Tsui M. R. Vagins J. Xia S. Izumiyama M. Kuze R. Matsumoto K. Terada R. Asaka M. Ishitsuka M. Shinoki M. Sugo M. Wako T. Yoshida Y. Nakano F. Cormier R. Gaur V. Gousy-Leblanc M. Hartz A. Konaka X. Li B. R. Smithers S. Chen Y. Wu B. D. Xu A. Q. Zhang B. Zhang M. Girgus P. Govindaraj M. Posiadala-Zezula Y. S. Prabhu S. B. Boyd R. Edwards D. Hadley M. Nicholson M. O'Flaherty B. Richards A. Ali B. Jamieson S. Amanai C. Bronner D. Horiguchi A. Minamino Y. Sasaki R. Shibayama R. Shimamura
This is my paper
classification hep-ex
keywords neutrondecaybaryonnumberviolationgrandunifiedtheoryneutralkaonnucleonsearchSuper-KamiokandewaterCherenkovdetectorpartiallifetimelimit
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Grand unified theories allow a neutron bound in an oxygen nucleus to decay into an antineutrino and a neutral kaon, a baryon-number-violating process that is forbidden in the Standard Model. Super-Kamiokande can recognize this decay through the neutral kaon's flight before it decays, by reconstructing the kaon momentum and invariant mass from its $K^0_S\to\pi^+\pi^-$ and $K^0_S\to2\pi^0$ modes. After analyzing 0.401 megaton-years of data, about 4.4 times the exposure of the earlier search, the collaboration finds no excess over atmospheric-neutrino background and places a 90% C.L. lower limit of $7.8\times10^{32}$ years on the partial lifetime. This improves the previous bound by a factor of six and is the most restrictive limit yet on this channel.

What carries the argument

The central object is the neutral kaon: in the two-body decay $n\to\bar\nu+K^0$ it carries roughly 300 MeV/c of momentum, and its $K^0_S$ component decays promptly in the water into $\pi^+\pi^-$ or $2\pi^0$, producing Cherenkov rings whose total invariant mass and momentum can be reconstructed. The new element is a binned spectrum fit to the $K^0$ invariant mass distributions, rather than a fixed two-dimensional cut, using a Poisson $\chi^2$ with 84 pull terms for systematic uncertainties; this handles the large atmospheric-neutrino background that would otherwise dominate the signal region. The simulation chain combines Fermi motion and binding energy of the bound neutron, nuclear and water kaon-nucleon scattering, and coherent $K^0_L\to K^0_S$ regeneration, together with an improved charged-pion momentum reconstruction that sharpens the reconstructed kaon mass peak.

What would settle it

A beam measurement of neutral-kaon scattering and regeneration on oxygen at 300–500 MeV/c would settle the central systematic assumption; the measured cross sections would either validate the carbon-derived model used here or force a rescaling of the detection efficiency and hence the lifetime limit by the ratio of efficiencies, and any candidate event with an invariant mass peak at the kaon mass inside the fiducial volume would directly falsify the no-signal conclusion.

Watch

Extended reading notes

Core claim

The paper's central result is a lower limit on the partial lifetime of a bound neutron decaying via $n\to\bar\nu+K^0$. The analysis selects $K^0_S\to\pi^+\pi^-$ and $K^0_S\to2\pi^0$ candidates in five detector periods, reconstructs the $K^0$ invariant mass and momentum, and fits the mass spectra with a background-plus-signal model; the best fit favors 1.7 signal events, consistent with the zero-signal expectation, with no significant excess. The 90% C.L. upper limit of 27.7 signal events, divided by the simulated detection efficiencies and the $2.68\times10^{32}$ neutrons per kiloton of water, yields $\tau/B > 7.8\times10^{32}$ years. This is six times stronger than the previous published limit and stands as the most stringent constraint on $n\to\bar\nu K^0$ decay.

Load-bearing premise

The limit is proportional to the simulated signal detection efficiency, and that efficiency rests on a Monte Carlo kaon-nucleon interaction model whose neutral-kaon regeneration probability was measured with a carbon target and then applied to oxygen and water inside Super-Kamiokande; if the real kaon interaction rates in water differ from the model, the efficiency and the lifetime limit shift by the same factor.

Editorial extensions

If this is right

  • If the limit holds, any supersymmetric GUT in which $n\to\bar\nu K^0$ is a dominant neutron decay channel must have a partial lifetime above $7.8\times10^{32}$ years.
  • The spectrum-fit method demonstrated here can be carried over to other nucleon decay searches with irreducible backgrounds, such as $n\to\bar\nu\pi^0$ and $p\to\bar\nu\pi^+$.
  • The updated kaon interaction model and pion momentum reconstruction feed into future Super-Kamiokande kaon searches, including the related $p\to\bar\nu K^+$ channel.
  • Combining this limit with the proton lifetime limit on $p\to\bar\nu K^+$ tightens the allowed parameter space of SUSY GUT models that predict both modes.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A separate and formally identical bound could be quoted for a $B+L$-conserving mode $n\to\nu K^0$, since the paper notes the search is equally sensitive to a neutrino in the final state; the paper does not derive that separate limit.
  • With an order of magnitude more exposure, the same method would reach partial lifetimes around $10^{34}$ years, the range in which some supersymmetric GUT models place the dominant neutron decay; future detectors could test this channel at that scale.
  • The largest unvalidated ingredient is the neutral-kaon interaction model; a dedicated measurement of $K^0$ cross sections on oxygen around 300–500 MeV/c would directly reduce the dominant systematic and make the lifetime limit less model-dependent.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. This paper reports a search for bound-neutron decay n→νbar+K0 using 0.401 Mton-years of Super-Kamiokande pure-water data (SK-I through SK-V), 4.4 times the exposure of the previous SK-I search. The analysis selects K0S→π+π− and K0S→2π0 candidates and performs a binned Poisson likelihood fit with 84 pull-term systematic parameters to the reconstructed K0 invariant mass distributions, rather than applying the narrower mass window used previously. No significant excess is found: the best-fit signal yield is 1.7 events, and the 90% C.L. upper limit is 27.7 signal events. Using per-phase efficiencies in Eq. (3), this translates to τ/B > 7.8×10^32 years at 90% C.L., a factor of six improvement over the previous limit of 1.3×10^32 years.

Significance. If correct, this is the world's most stringent constraint on n→νbar+K0 and is the first Super-K search for this mode to use a spectrum fit over the full pure-water dataset. The statistical treatment is standard for this field: a Poisson chi-square with pull terms for correlated systematics, and the limit follows from the fitted signal normalization rather than from a circular definition. The collaboration gives a legible account of the event selections, background composition, and systematic pulls, and the analysis is a natural extension of its nucleon-decay program. The principal caveat, discussed below, is that the absolute lifetime scale is set by the MC signal efficiency, whose kaon-nucleon interaction and regeneration model is not validated inside the detector; however, the quoted 25–50% systematic uncertainties at least acknowledge the size of this dependence.

major comments (4)
  1. [Section III A and Eq. (3)] The central limit inherits its absolute scale from the signal efficiency η_i, which depends on the kaon-nucleon interaction model and on the coherent K0L→K0S regeneration probability derived from carbon-target data [24] and applied to oxygen and water. The fit cannot constrain this model: the best-fit pulls for kaon FSI and SI are only 0.030 and 0.031 (Table II), and neutral-kaon production in the atmospheric-neutrino background is below 1% (Section III B). Since Eq. (3) divides by η_i, any unmodeled bias in the kaon interaction or regeneration rescales the headline limit linearly. The paper should either validate the model with an in-situ control sample, quantify how the limit changes under alternative kaon-interaction prescriptions, or at minimum state explicitly that the 7.8×10^32 year value scales with these model assumptions.
  2. [Section VI B and Eq. (3)] The numerical result 7.8×10^32 years is obtained by summing N^i_90CL/η_i over SK-I through SK-V, but the paper does not provide a table of the per-phase efficiencies η_i or the per-phase upper limits N^i_90CL. Without these inputs the central number cannot be reproduced, and the reader cannot see which phase dominates the sum. Please include a table with these values, and state whether η_i are the nominal MC efficiencies and how the 25% and 50% kaon uncertainties enter the quoted N^i_90CL.
  3. [Section V C and Section VI B] The text states that the roughly 30% deficit of the atmospheric-neutrino MC relative to data after selection B-6 is 'resolved' by systematic uncertainties, yet the best-fit pulls in Tables II and III are all well below 1σ. It is not demonstrated which combination of pull terms absorbs the excess, nor how stable the 27.7-event 90% C.L. upper limit is if the background normalization is treated as a free parameter or constrained differently. This matters because the limit is extracted from the same fit. Please provide a robustness check, such as the fitted β and N90 under a free background normalization, and identify the pulls that contribute most to absorbing the excess.
  4. [Section VI B] The derivation of the 90% C.L. upper limit from the fit is not described: the paper reports a best-fit β and an upper limit of 27.7 events, but does not state whether the limit is obtained from Δχ2=2.71 with the systematics profiled, from a different χ2-based construction, or from a Feldman-Cousins calculation. Since the central claim is a limit, the statistical procedure used to set it should be specified explicitly.
minor comments (5)
  1. [Section V A and V B] The statement that the K0 invariant mass cut is not applied in this analysis is confusing because A-6 and B-6 include the broad cut 300 < W_K0 < 700 MeV/c^2; please clarify that the narrow previous-analysis cuts (400–600 and 450–550 MeV/c^2) are replaced by the broad 300–700 MeV/c^2 fit range.
  2. [Section V] The sentence beginning 'Since the invariant mass distribution has a narrower peak...' is repeated in consecutive sentences; one of the two occurrences should be removed.
  3. [Section III A] The text says '98% of K0 from nucleon decay exit from oxygen nucleus as K0' and then '98% of K0S that exit the nucleus promptly decay...'; it would be clearer to state explicitly that the 98% refers to K0 survival without hadronic interaction, and to define whether K0L regeneration is included in the 0.1% of MC events mentioned in the same paragraph.
  4. [Equations (1) and (2)] The normalization convention of N_sig_i and the units of β should be stated explicitly; from the text β is a signal yield in events rather than a dimensionless multiplier of a normalized template, so the convention should be defined.
  5. [Figure 4] The caption notes that the error bars are too small to be visible; please provide the numerical signal efficiencies after the final selection in a table or in the caption so that the reader can connect them to Eq. (3).

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the lifetime limit is a direct experimental upper bound obtained from a fit to data divided by a simulated efficiency, with no step reducing to its own inputs.

full rationale

The paper derives its headline limit using Eq. (3), which converts the fitted 90% C.L. upper limit on signal events into a lifetime by dividing by the simulated signal efficiency. The efficiency is an MC input, not a fitted parameter; the fit determines only the signal normalization beta. The kaon-interaction and regeneration models affect the efficiency, but the paper reports these as explicit systematic uncertainties with fit pulls. This is model dependence, not circularity: no step defines the target quantity in terms of itself, and the central claim is a measured limit against the simulated expectation.

Assumptions & free parameters 0 free parameters · 6 assumptions · 0 invented entities

The central claim (lifetime limit) depends on the signal efficiency from Monte Carlo simulation and the background model. Neither is fitted freely: the 84 systematic nuisance parameters are constrained by Gaussian priors, and the signal normalization is the parameter of interest. The main assumptions are nuclear physics models for Fermi motion, binding energy, and kaon and pion interactions in oxygen and water, all taken from prior experiments or standard models.

assumptions (6)
  • standard math Poisson likelihood chi-square with pull terms is used for the spectrum fit.
    Equation (1) defines the fit statistic used to extract the signal normalization and the upper limit.
  • domain assumption Fermi momentum distribution of bound neutrons in oxygen is taken from electron scattering off 12C (Nakamura et al., Ref [19]).
    Used to generate signal MC for neutron decay in 16O, affecting the reconstructed K0 momentum distribution and efficiency.
  • domain assumption The binding energy is modeled as a Gaussian with mean 39.0 (15.5) MeV and sigma 10.2 (3.82) MeV for the s-state (p-state), applied equally to p3/2 and p1/2 states.
    Section III A; affects the effective neutron mass and thus the kaon momentum distribution.
  • domain assumption Neutron population ratio in oxygen is 1:3 for s-state to p-state, per nuclear shell model, and 10% of decays are correlated with a neighboring nucleon.
    Section III A; affects signal event kinematics and multiplicity.
  • domain assumption Neutral kaon interactions in the nucleus and water, including elastic scattering, charge exchange, and coherent regeneration, are modeled using carbon-target regeneration data and the updated kaon interaction model from the p -> mu + K0 search.
    Section III A; determines the fraction of K0S decaying to detectable final states and the signal efficiency.
  • domain assumption Atmospheric neutrino flux and neutrino-nucleus interactions are simulated with the Honda flux and NEUT 5.4.0.1, with three-flavor oscillation parameters from PDG 2022.
    Section III B; the background estimate depends on this model.

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Cite this review

Pith. "Pith review of Search for neutron decay into an antineutrino and a neutral kaon in 0.401 megaton-years exposure of Super-Kamiokande." pith.science (2026). https://pith.science/paper/4E545TVW

@misc{pith2026250614406,
  author       = {Pith},
  title        = {Pith review of: Search for neutron decay into an antineutrino and a neutral kaon in 0.401 megaton-years exposure of Super-Kamiokande},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/4E545TVW}},
  note         = {Machine review of arXiv:2506.14406}
}
abstract

We searched for bound neutron decay via $n\to\bar{\nu}+K^0$ predicted by the Grand Unified Theories in 0.401 Mton$\cdot$years exposure of all pure water phases in the Super-Kamiokande detector. About 4.4 times more data than in the previous search have been analyzed by a new method including a spectrum fit to kaon invariant mass distributions. No significant data excess has been observed in the signal regions. As a result of this analysis, we set a lower limit of $7.8\times10^{32}$ years on the neutron lifetime at a 90% confidence level.

Figures

Figures reproduced from arXiv: 2506.14406 by the authors.

Figure 1
Figure 1. FIG. 1. True [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. The reconstructed [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Scatter plots of the reconstructed [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Signal efficiencies (blue), number of background [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. The reconstructed [PITH_FULL_IMAGE:figures/full_fig_p009_5.png]

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Reviewed August 7, 2026 · model on record in the stance chip above.