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Self-Calibration of the Neutrino-Argon Cross Section with Solar Neutrinos

Rasmi Hajjar, Obada Nairat, John F. Beacom

Jun 16, 2026arXiv:2606.18347v1
hep-ph
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#21 of 835 · hep-ph
Tournament Score
1559±46
10501750
92%
Win Rate
22
Wins
2
Losses
24
Matches
Rating
7.3/ 10
Significance8
Rigor6.8
Novelty7.5
Clarity8

Abstract

The success of DUNE's MeV physics program depends upon high-precision knowledge of the charged-current (CC) νe+40Arν_e+\mathrm{^{40}Ar} cross section. While there are indirect constraints at the 10% level for the nuclear transitions that constitute this cross section, the only direct measurement in the MeV range has an uncertainty of \sim50%. We show, surprisingly, that the cross section can be precisely measured using the solar-neutrino data themselves. This is possible because of independent knowledge of the 8^8B flux and survival probability, plus the distinctive angular distributions of the Fermi and Gamow-Teller transitions that comprise the cross section. We propose new methods to extract the transition strengths, considering both intuitive groupings and a Principal Component Analysis. Under pessimistic assumptions about detection, but taking detector uncertainties to be controlled, we demonstrate that a precision of \lesssim2% on the cross section can be achieved in the 9-15 MeV energy range. These results will be an important foundation for studying the cross section up to several tens of MeV, where the complexity increases significantly due to nuclear breakup channels but where reducing uncertainties is critical for supernova and atmospheric neutrino studies.

AI Impact Assessments

(1 models)

Scientific Impact Assessment

Core Contribution

This paper addresses a critical bottleneck for DUNE's MeV physics program: the inadequate knowledge of the charged-current νe + ⁴⁰Ar cross section. The only direct measurement (DEAP, 2025) carries ~50% uncertainty, while indirect measurements disagree at the ~10% level. The authors propose a "self-calibration" strategy where DUNE uses its own ⁸B solar neutrino data to extract the cross section to ≲2% precision in the 9–15 MeV range.

The key insight is that three independent pieces of information can break the degeneracy between flux and cross section: (1) the ⁸B flux is independently well-measured (~4% now, sub-percent expected from JUNO), (2) the survival probability is nearly constant and well-known in this energy range, and (3) the Fermi and Gamow-Teller transitions have distinctly different angular distributions — forward vs. backward — enabling their separation. This angular separation is the paper's most clever exploitation, as without it the 15 nuclear transitions would be hopelessly degenerate in energy.

Methodological Rigor

The analysis is carefully structured across several scenarios of increasing sophistication:

1. Optimistic scenario (perfect gamma-ray detection): Transition-by-transition extraction yields ~1% overall precision, with the three dominant transitions constrained to ≲2%.

2. Pessimistic scenario (no gamma-ray detection): The authors group 15 transitions into three effective components — (σ₁+σ₂), the Fermi transition, and remaining GT — achieving ~2% cross section precision via angular discrimination.

3. PCA-based approaches: A data-driven dimensionality reduction reveals that only 2 effective degrees of freedom are accessible, leading to optimized extraction. The hybrid "Fermi + 1 PCA" approach maintains physical interpretability while achieving comparable precision.

The statistical framework uses a binned Poisson likelihood with proper angular smearing via the von Mises-Fisher distribution (rather than a planar Gaussian approximation), which the authors correctly note matters at DUNE's expected ~25° resolution. The authors test robustness by generating mock data with transition strengths varied within 10% of the (p,n) benchmark and recovering the underlying cross section within uncertainties.

However, several caveats deserve attention. The analysis assumes detector systematics are "controlled" — deferring treatment of exposure uncertainties, backgrounds (external neutrons, ²²²Rn, pileup), and ES contamination to future work. While acknowledged, this is a significant limitation. The authors reference Super-Kamiokande's ~1.5% absolute rate uncertainty as a benchmark, but DUNE's LArTPC technology faces different systematic challenges. The paper also assumes 20 kton·year exposure (two 10-kton modules for one year), which represents an optimistic early-operation scenario given DUNE's phased deployment timeline.

Potential Impact

The implications are substantial and multi-directional:

  • Foundation for supernova neutrino physics: A precisely calibrated cross section in the 9–15 MeV range provides an anchor point for extending models to higher energies (tens of MeV) where nuclear breakup channels and forbidden transitions complicate theoretical predictions. Without this calibration, DUNE's flagship supernova program would be fundamentally limited.
  • Nuclear physics: Direct access to the Fermi transition strength (~3.5% precision) enables testing the superallowed Fermi prediction B(F) = N−Z = 4, and the GT sector normalization constrains the effective axial-vector coupling gA.
  • Solar neutrino physics: A well-calibrated cross section enables DUNE to function as a precision solar neutrino observatory, potentially probing the solar metallicity problem and non-standard neutrino interactions.
  • Directional capabilities: Identifying the Fermi transition would give DUNE directional sensitivity to electron neutrinos, useful for supernova pointing.
  • Methodological: The PCA framework for cross section extraction is novel in this context and could be applied to other neutrino-nucleus interactions where multiple transitions contribute.
  • Timeliness & Relevance

    The timing is excellent. DUNE's first far detector modules are expected to begin operation around 2029. The DEAP measurement (6 events, 2.4× the expected cross section with large uncertainties) has just appeared, highlighting both the feasibility and urgency of better measurements. The recent theoretical advance by Gardiner et al. (Ref. [74]) on the continuum contribution underscores that the low-energy regime treated here is indeed the cleanest starting point. JUNO is already taking data and will soon provide the sub-percent flux normalization assumed here.

    Strengths

  • Elegant use of angular distributions: Exploiting the opposite orientations of Fermi (1+cosθ) and GT (1−cosθ/3) transitions is physically well-motivated and provides a handle that is robust against energy resolution degradation.
  • Multiple complementary extraction strategies with clear presentation of trade-offs between precision and interpretability.
  • Conservative default assumptions: Using the pessimistic (no gamma-ray) scenario as the baseline strengthens the conclusions.
  • Careful angular treatment: The von Mises-Fisher formalism is the correct approach and the authors provide useful approximate relations.
  • Limitations

  • Backgrounds not quantitatively modeled: The paper assumes backgrounds can be controlled but does not propagate their uncertainties. External neutrons, in particular, could significantly degrade sensitivity.
  • Detector systematics deferred: Energy scale, efficiency, fiducial volume — all contribute to the "controlled" assumption. The gap between "controlled" and "negligible" could be substantial.
  • The i=1, i=2 degeneracy: The first energy bin retains ~10% uncertainty from indirect measurements, meaning the self-calibration is incomplete at the lowest accessible energies.
  • Single benchmark model: The (p,n) measurements are used as the sole truth model; systematic exploration of how results change if the true cross section differs significantly (as DEAP hints) would strengthen the analysis.
  • No comparison to stopped-pion source potential: A quantitative comparison with the precision achievable from a dedicated stopped-pion experiment would contextualize the self-calibration approach.
  • Overall Assessment

    This is a well-executed and timely study that identifies a genuinely surprising capability of DUNE. The self-calibration concept is creative and practically important. While the treatment of systematics and backgrounds remains incomplete, the core physics case — that angular distributions provide sufficient discriminating power — is convincingly demonstrated. The paper establishes an important proof of principle that will influence DUNE's analysis strategy and potentially its detector design choices (e.g., prioritizing blip detection capabilities).

    Rating:7.3/ 10
    Significance 8Rigor 6.8Novelty 7.5Clarity 8

    Generated Jun 18, 2026

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