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arxiv: 2606.00498 · v1 · pith:US32UANGnew · submitted 2026-05-30 · 🌌 astro-ph.HE · hep-ph

Suppression of boosted relic neutrinos by photon backgrounds during ultra-high-energy cosmic ray propagation

Pith reviewed 2026-06-28 18:36 UTC · model grok-4.3

classification 🌌 astro-ph.HE hep-ph
keywords cosmic neutrino backgroundultra-high-energy cosmic raysneutrino flux suppressionphoton backgroundsMonte Carlo propagationcosmogenic neutrinosoverdensity
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The pith

Photon backgrounds during cosmic ray propagation strongly suppress boosted relic neutrino fluxes.

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

The paper revisits claims that ultra-high-energy cosmic rays can boost relic neutrinos from the cosmic neutrino background into an observable flux. Earlier estimates often omitted energy losses and competing interactions with diffuse photon fields during propagation. A Monte Carlo code that tracks those losses, nuclear breakup, and secondary neutrinos shows the boosted flux drops sharply once photon backgrounds are included. Only an extreme overdensity of the cosmic neutrino background, at least 100 million times the standard value, would produce any visible effect on the arriving cosmic ray spectrum or make the boosted component compete with ordinary cosmogenic neutrinos.

Core claim

Interactions with diffuse photon backgrounds strongly suppress the boosted relic neutrino flux predicted in simplified propagation scenarios. To produce any observable suppression on the UHECR energy spectrum at Earth, or for the boosted CνB component to become comparable to the cosmogenic neutrino flux, the CνB density must be enhanced by a factor of extreme magnitude (η ≳ 10^8).

What carries the argument

Monte Carlo propagation framework that incorporates cosmic ray energy losses, nuclear photodisintegration, and secondary neutrino production when interacting with diffuse photon backgrounds.

If this is right

  • The boosted relic neutrino component is far smaller than earlier simplified calculations suggested.
  • Any detectable imprint on the UHECR spectrum at Earth requires CνB overdensity of order 10^8 or larger.
  • The boosted CνB flux remains negligible compared with the cosmogenic neutrino background unless the overdensity is extreme.
  • Propagation calculations that omit photon interactions will systematically overestimate the boosted neutrino yield.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Experiments searching for boosted relic neutrinos may need to target other production channels or accept that standard densities yield undetectable signals.
  • Improved UHECR spectrum measurements could place indirect upper limits on possible CνB overdensities.
  • The result underscores the need to treat all background photon fields self-consistently in any future cosmic-ray neutrino studies.

Load-bearing premise

The Monte Carlo propagation framework accurately captures all relevant energy-loss channels, nuclear photodisintegration, and secondary neutrino production when cosmic rays interact with diffuse photon backgrounds.

What would settle it

An observed boosted relic neutrino flux at levels predicted by simplified models that ignore photon backgrounds, or a clear suppression feature in the UHECR spectrum at moderate CνB overdensity.

read the original abstract

Constraining the cosmic neutrino background (C$\nu$B) represents a major experimental challenge in cosmology. Recent studies have suggested that relic neutrinos boosted by ultra-high-energy cosmic rays (UHECRs) may generate observable diffuse neutrino fluxes. Previous estimates have not effectively propagated the primary cosmic rays, often neglecting crucial energy losses and the unavoidable, competing interactions with diffuse photon backgrounds. Here we revisit these expectations using a realistic Monte Carlo propagation framework. This approach allows us to consistently incorporate cosmic ray energy losses, nuclear photodisintegration, and production of secondary neutrinos. We show that interactions with diffuse photon backgrounds strongly suppress the boosted relic neutrino flux predicted in simplified propagation scenarios. Furthermore, we demonstrate that to produce any observable suppression on the UHECR energy spectrum at Earth, or for the boosted C$\nu$B component to become comparable to the cosmogenic neutrino flux, the C$\nu$B density must be enhanced by a factor, the so-called overdensity, of extreme magnitude ($\eta \gtrsim 10^{8}$).

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper claims that a Monte Carlo propagation framework for ultra-high-energy cosmic rays (UHECRs), incorporating energy losses, nuclear photodisintegration, and secondary neutrino production, demonstrates that interactions with diffuse photon backgrounds (CMB + EBL + radio) strongly suppress the boosted relic neutrino flux from the cosmic neutrino background (CνB) relative to simplified propagation scenarios. It further concludes that an extreme CνB overdensity η ≳ 10^8 is required for any observable suppression on the UHECR spectrum at Earth or for the boosted component to become comparable to the cosmogenic neutrino flux.

Significance. If the Monte Carlo implementation is accurate and complete, the result supplies a necessary correction to prior analytic estimates that neglected photon-background losses, indicating that boosted CνB signals are unlikely to be detectable without extreme overdensities. This strengthens the case that standard propagation physics renders such fluxes negligible and has direct bearing on the design and interpretation of future neutrino observatories targeting the CνB.

major comments (2)
  1. [Abstract] Abstract: the central suppression result and the η ≳ 10^8 threshold rest entirely on the Monte Carlo framework, yet the text supplies no cross-section libraries, photon-field models (CMB+EBL+radio), interaction thresholds, nuclear photodisintegration rates, or validation benchmarks against known UHECR propagation codes. Without these, the reported suppression factors cannot be independently verified and the claim that all relevant energy-loss and secondary-production channels are 'consistently incorporate[d]' remains unsupported.
  2. [Abstract] The headline quantitative claim (η ≳ 10^8) is load-bearing for the paper's conclusion that observable effects require 'extreme magnitude' overdensities; any incompleteness in the photon-background interaction modeling would directly rescale this threshold, yet no sensitivity tests or omitted-channel estimates are provided.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. The comments highlight important aspects of transparency in our Monte Carlo implementation. We address each point below and will incorporate revisions to strengthen the presentation.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central suppression result and the η ≳ 10^8 threshold rest entirely on the Monte Carlo framework, yet the text supplies no cross-section libraries, photon-field models (CMB+EBL+radio), interaction thresholds, nuclear photodisintegration rates, or validation benchmarks against known UHECR propagation codes. Without these, the reported suppression factors cannot be independently verified and the claim that all relevant energy-loss and secondary-production channels are 'consistently incorporate[d]' remains unsupported.

    Authors: We agree that explicit documentation of the technical components is necessary for independent verification. Although the manuscript describes the overall Monte Carlo framework and its consistent treatment of energy losses, photodisintegration, and secondary production, we acknowledge that specific libraries, photon-field models, thresholds, and benchmarks are not listed in sufficient detail. We will revise the manuscript by expanding the methods section and adding an appendix that specifies the cross-section libraries (e.g., SOPHIA for photopion processes), photon backgrounds (standard CMB, EBL, and radio models), interaction thresholds, nuclear photodisintegration rates, and validation comparisons against established codes such as CRPropa. revision: yes

  2. Referee: [Abstract] The headline quantitative claim (η ≳ 10^8) is load-bearing for the paper's conclusion that observable effects require 'extreme magnitude' overdensities; any incompleteness in the photon-background interaction modeling would directly rescale this threshold, yet no sensitivity tests or omitted-channel estimates are provided.

    Authors: We recognize that the η ≳ 10^8 threshold is central to the conclusions and that robustness against modeling uncertainties should be demonstrated. The current Monte Carlo incorporates the dominant photon backgrounds, but we agree that sensitivity tests and estimates of omitted channels would strengthen the result. We will add a dedicated paragraph (or subsection) in the revised manuscript that discusses the impact of alternative photon-field models and potential missing channels, providing order-of-magnitude estimates showing that the required overdensity remains ≳ 10^8. If additional runs are needed, we will perform them for the revision. revision: yes

Circularity Check

0 steps flagged

No significant circularity; suppression result obtained from independent Monte Carlo propagation

full rationale

The paper's derivation consists of running a Monte Carlo simulation of UHECR propagation that includes standard energy-loss processes, photodisintegration, and secondary neutrino production on diffuse photon backgrounds. The reported suppression of the boosted CνB flux and the requirement of η ≳ 10^8 are numerical outputs of that simulation, not quantities defined in terms of themselves or obtained by fitting a subset of the target data. No load-bearing step reduces to a self-citation, an ansatz smuggled via prior work, or a renamed empirical pattern. The framework is presented as an application of established propagation physics rather than a closed definitional loop, making the result self-contained against external benchmarks such as other CR propagation codes.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard astrophysical inputs about photon backgrounds and cosmic-ray propagation; the quantitative result is new but inherits the usual domain assumptions of the field.

free parameters (1)
  • overdensity η
    The threshold value (≳10^8) at which boosted CνB becomes observationally relevant; introduced to quantify the extreme enhancement needed.
axioms (1)
  • domain assumption Diffuse photon backgrounds (CMB and extragalactic background light) have known densities and spectra that interact with UHECRs via photodisintegration and pair production.
    Invoked throughout the propagation modeling as the source of the suppression.

pith-pipeline@v0.9.1-grok · 5708 in / 1225 out tokens · 23871 ms · 2026-06-28T18:36:38.146110+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Ultra-High-Energy Cosmic Ray Boosted Relic Neutrinos

    hep-ph 2026-06 unverdicted novelty 6.0

    Computes the diffuse UHECR-boosted CνB flux across elastic, coherent, incoherent, resonance, and deep-inelastic channels with mixed-composition UHECR models and derives upper limits on CνB overdensity from IceCube and...

Reference graph

Works this paper leans on

39 extracted references · 2 canonical work pages · cited by 1 Pith paper · 1 internal anchor

  1. [1]

    Yanagisawa,Looking for cosmic neutrino background,Frontiers in PhysicsV olume 2 - 2014(2014)

    C. Yanagisawa,Looking for cosmic neutrino background,Frontiers in PhysicsV olume 2 - 2014(2014)

  2. [2]

    de Salas and S

    P.F. de Salas and S. Pastor,Relic neutrino decoupling with flavour oscillations revisited, Journal of Cosmology and Astroparticle Physics2016(2016) 051–051

  3. [3]

    Ringwald,Prospects for the direct detection of the cosmic neutrino background,Nuclear Physics A827(2009) 501c–506c

    A. Ringwald,Prospects for the direct detection of the cosmic neutrino background,Nuclear Physics A827(2009) 501c–506c

  4. [4]

    Representation in

    C. Giunti and C.W. Kim,Fundamentals of Neutrino Physics and Astrophysics, Oxford University Press (2007), 10.1093/acprof:oso/9780198508717.001.0001

  5. [5]

    McKeen,Cosmic neutrino background search experiments as decaying dark matter detectors, Physical Review D100(2019)

    D. McKeen,Cosmic neutrino background search experiments as decaying dark matter detectors, Physical Review D100(2019)

  6. [6]

    Berghaus, P.W

    K.V. Berghaus, P.W. Graham, D.E. Kaplan, G.D. Moore and S. Rajendran,Dark energy radiation,Physical Review D104(2021)

  7. [7]

    Berghaus, T

    K.V. Berghaus, T. Karwal, V. Miranda and T. Brinckmann,The cosmology of dark energy radiation, 2024

  8. [8]

    M. Aker, D. Batzler, A. Beglarian, J. Behrens, A. Berlev, U. Besserer et al.,New constraint on the local relic neutrino background overdensity with the first KATRIN data runs,Physical Review Letters129(2022)

  9. [9]

    Herrera, S

    G. Herrera, S. Horiuchi and X. Qi,Diffuse boosted cosmic neutrino background,Physical Review D111(2025)

  10. [10]

    Zhang, A

    J. Zhang, A. Sandrock, J. Liao and B. Yue,Impact of coherent scattering on relic neutrinos boosted by cosmic rays,Physical Review D113(2026)

  11. [11]

    Marchi, A

    A.G.D. Marchi, A. Granelli, J. Nava and F. Sala,Relic neutrino background from cosmic-ray reservoirs, 2025. – 11 –

  12. [12]

    C´ ıscar-Monsalvatje, G

    M. C´ ıscar-Monsalvatje, G. Herrera and I.M. Shoemaker,Upper limits on the cosmic neutrino background from cosmic rays,Physical Review D110(2024)

  13. [13]

    Aartsen, M

    M. Aartsen, M. Ackermann, J. Adams, J.A. Aguilar, M. Ahlers, M. Ahrens et al.,Neutrino emission from the direction of the blazar TXS 0506+056 prior to the IceCube-170922A alert, Science361(2018) 147–151

  14. [14]

    Greisen,End to the cosmic-ray spectrum?,Phys

    K. Greisen,End to the cosmic-ray spectrum?,Phys. Rev. Lett.16(1966) 748

  15. [15]

    Zatsepin and V.A

    G.T. Zatsepin and V.A. Kuzmin,Upper limit of the spectrum of cosmic rays,JETP Lett.4 (1966) 78

  16. [16]

    Alves Batista, J

    R. Alves Batista, J. Becker Tjus, J. D¨ orner, A. Dundovic, B. Eichmann, A. Frie et al., CRPropa 3.2 — an advanced framework for high-energy particle propagation in extragalactic and galactic spaces,Journal of Cosmology and Astroparticle Physics2022(2022) 035

  17. [17]

    A. Aab, P. Abreu, M. Aglietta, I.A. Samarai, I. Albuquerque, I. Allekotte et al.,Combined fit of spectrum and composition data as measured by the Pierre Auger Observatory,Journal of Cosmology and Astroparticle Physics2017(2017) 038–038

  18. [18]

    Blumenthal,Energy loss of high-energy cosmic rays in pair-producing collisions with ambient photons,Phys

    G.R. Blumenthal,Energy loss of high-energy cosmic rays in pair-producing collisions with ambient photons,Phys. Rev. D1(1970) 1596

  19. [19]

    Dermer and G

    C.D. Dermer and G. Menon,High Energy Radiation from Black Holes: Gamma Rays, Cosmic Rays, and Neutrinos, Princeton University Press (2009)

  20. [20]

    Aloisio, D

    R. Aloisio, D. Boncioli, A. di Matteo, A.F. Grillo, S. Petrera and F. Salamida,SimProp v2r4: Monte Carlo simulation code for UHECR propagation,Journal of Cosmology and Astroparticle Physics2017(2017) 009–009

  21. [21]

    E. Khan, S. Goriely, D. Allard, E. Parizot, T. Suomij¨ arvi, A. Koning et al.,Photodisintegration of ultra-high-energy cosmic rays revisited,Astroparticle Physics23(2005) 191–201

  22. [22]

    Rachen,Interaction Processes and Statistical Properties of the Propagation of Cosmic Rays in Photon Backgrounds, Ph.D

    J.P. Rachen,Interaction Processes and Statistical Properties of the Propagation of Cosmic Rays in Photon Backgrounds, Ph.D. thesis, Max-Planck-Institute for Radioastronomy, Bonn, Sept., 1996

  23. [23]

    Batista, D

    R.A. Batista, D. Boncioli, A. di Matteo, A.v. Vliet and D. Walz,Effects of uncertainties in simulations of extragalactic UHECR propagation, using CRPropa and SimProp,Journal of Cosmology and Astroparticle Physics2015(2015) 063–063

  24. [24]

    Abdul Halim, P

    A. Abdul Halim, P. Abreu, M. Aglietta, I. Allekotte, K. Almeida Cheminant, A. Almela et al., Constraining the sources of ultra-high-energy cosmic rays across and above the ankle with the spectrum and composition data measured at the Pierre Auger Observatory,Journal of Cosmology and Astroparticle Physics2023(2023) 024

  25. [25]

    Batista, D

    R.A. Batista, D. Boncioli, A. di Matteo and A.v. Vliet,Secondary neutrino and gamma-ray fluxes from SimProp and CRPropa,Journal of Cosmology and Astroparticle Physics2019 (2019) 006–006

  26. [26]

    Taylor,The propagation of ultra high energy cosmic rays, Ph.D

    A.M. Taylor,The propagation of ultra high energy cosmic rays, Ph.D. thesis, University of Oxford, 2007

  27. [27]

    Chakraborty, P

    S. Chakraborty, P. Mehta and P. Sarmah,A relook at the GZK neutrino-photon connection: impact of extra-galactic radio background & UHECR properties,Journal of Cosmology and Astroparticle Physics2024(2024) 058

  28. [28]

    Cappiello, K.C

    C.V. Cappiello, K.C. Ng and J.F. Beacom,Reverse direct detection: Cosmic ray scattering with light dark matter,Physical Review D99(2019)

  29. [29]

    Bringmann and M

    T. Bringmann and M. Pospelov,Novel direct detection constraints on light dark matter,Phys. Rev. Lett.122(2019) 171801. – 12 –

  30. [30]

    Marchi, A

    A.G.D. Marchi, A. Granelli, J. Nava and F. Sala,Relic neutrino background from cosmic-ray reservoirs, 2025

  31. [31]

    Klein and J

    S.R. Klein and J. Nystrand,Exclusive vector meson production in relativistic heavy ion collisions,Physical Review C60(1999)

  32. [32]

    Batista, R.M

    R.A. Batista, R.M. de Almeida, B. Lago and K. Kotera,Cosmogenic photon and neutrino fluxes in the Auger era,Journal of Cosmology and Astroparticle Physics2019(2019) 002–002

  33. [33]

    Herrera, S

    G. Herrera, S. Horiuchi, X. Qi and I.M. Shoemaker,The cosmic neutrino background is within reach of future neutrino telescopes, 2026

  34. [34]

    Gilmore, R.S

    R.C. Gilmore, R.S. Somerville, J.R. Primack and A. Dom´ ınguez,Semi-analytic modelling of the extragalactic background light and consequences for extragalactic gamma-ray spectra: Modelling of the EBL and gamma-ray spectra,Monthly Notices of the Royal Astronomical Society422 (2012) 3189–3207

  35. [35]

    Aartsen, R

    M.G. Aartsen, R. Abbasi, M. Ackermann, J. Adams, J.A. Aguilar, M. Ahlers et al., IceCube-Gen2: the window to the extreme Universe,Journal of Physics G: Nuclear and Particle Physics48(2021) 060501

  36. [36]

    ´Alvarez Mu˜ niz, R

    J. ´Alvarez Mu˜ niz, R. Alves Batista, A. Balagopal V., J. Bolmont, M. Bustamante, W. Carvalho et al.,The giant radio array for neutrino detection (GRAND): Science and design,Science China Physics, Mechanics & Astronomy63(2019)

  37. [37]

    Abbasi, M

    R. Abbasi, M. Ackermann, J. Adams, S. Agarwalla, J. Aguilar, M. Ahlers et al.,Search for extremely-high-energy neutrinos and first constraints on the ultrahigh-energy cosmic-ray proton fraction with IceCube,Physical Review Letters135(2025)

  38. [38]

    Aiello, A

    KM3NeT Collaboration, S. Aiello, A. Albert, A.R. Alhebsi, M. Alshamsi, S. Alves Garre et al., Observation of an ultra-high-energy cosmic neutrino with KM3NeT,Nature638(2025) 376

  39. [39]

    The Pierre Auger Collaboration, A. Aab, P. Abreu, M. Aglietta, I.F.M. Albuquerque, I. Allekotte et al.,The Pierre Auger Observatory: Contributions to the 35th International Cosmic Ray Conference (ICRC 2017),arXiv e-prints(2017) arXiv:1708.06592 [1708.06592]. – 13 –