Refined extraction of electroweak and nuclear parameters from germanium CE$\nu$NS data

Christoph A. Ternes; Dimitrios K. Papoulias; G. Sanchez Garcia; Laura Duque; Valentina De Romeri

arxiv: 2605.27121 · v1 · pith:LCX7JPTOnew · submitted 2026-05-26 · ✦ hep-ph

Refined extraction of electroweak and nuclear parameters from germanium CEνNS data

Valentina De Romeri , Laura Duque , Dimitrios K. Papoulias , G. Sanchez Garcia , Christoph A. Ternes This is my paper

Pith reviewed 2026-06-29 16:55 UTC · model grok-4.3

classification ✦ hep-ph

keywords CEνNSgermaniumneutron radiusneutron skinweak mixing anglequenching factornuclear form factorCOHERENT

0 comments

The pith

Joint analysis of COHERENT and CONUS+ germanium data extracts neutron radius and weak mixing angle with reduced uncertainty

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

The paper performs a combined statistical analysis of coherent elastic neutrino-nucleus scattering data on germanium from two experiments with different neutrino sources: COHERENT using pion-decay neutrinos and CONUS+ using reactor antineutrinos. By exploiting the complementarity of these datasets, the analysis separates spectral shape effects from normalization uncertainties to extract the root-mean-square neutron radius and neutron skin thickness of germanium with improved precision. The work also determines the weak mixing angle at low momentum transfer as a Standard Model test. Results are presented as functions of variations in the Lindhard model for the nuclear quenching factor, with the form factor modeled by the Klein-Nystrand parametrization and benchmarked against large-scale shell model calculations.

Core claim

Exploiting the complementarity of these two datasets in a joint statistical analysis, we extract the germanium root-mean-square neutron radius and neutron skin with improved precision, disentangling spectral shape distortions from overall normalizations and reducing systematic uncertainties. We also determine the weak mixing angle at low momentum transfer.

What carries the argument

Joint statistical analysis of CEνNS datasets from complementary neutrino sources (pion decay at rest and reactor antineutrinos) on the same germanium target, which separates shape distortions from normalizations.

If this is right

The extracted neutron radius and skin provide tighter nuclear structure constraints for germanium.
The low-momentum weak mixing angle serves as a direct test of the Standard Model in a less-explored regime.
Systematic uncertainties from quenching and form factor modeling are quantified through the joint fit and benchmarking.
The approach demonstrates how data from different neutrino sources can be combined to maximize sensitivity to both nuclear and electroweak parameters.

Where Pith is reading between the lines

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

Similar joint analyses on other nuclei could improve global determinations of neutron radii across the periodic table.
Higher-statistics runs from either experiment would further reduce the remaining uncertainties on the weak mixing angle.
Direct quenching factor measurements independent of Lindhard modeling would strengthen the robustness of future extractions.

Load-bearing premise

The nuclear quenching factor can be adequately captured by variations of the Lindhard model and the nuclear form factor is well described by the analytical Klein-Nystrand parametrization.

What would settle it

An independent experimental determination of the germanium quenching factor lying outside the range spanned by the Lindhard model variations would systematically shift the extracted neutron radius, neutron skin, and weak mixing angle values.

Figures

Figures reproduced from arXiv: 2605.27121 by Christoph A. Ternes, Dimitrios K. Papoulias, G. Sanchez Garcia, Laura Duque, Valentina De Romeri.

**Figure 2.** Figure 2: FIG. 2: Reduced [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4: Two-dimensional contours showing the correlations among [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5: Reduced [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗

read the original abstract

We present a combined analysis of recent CE$\nu$NS data on germanium from two complementary experiments: COHERENT, which uses neutrinos from pion decay at rest, and CONUS+, which detects reactor antineutrinos. Exploiting the complementarity of these two datasets in a joint statistical analysis, we extract the germanium root-mean-square neutron radius and neutron skin with improved precision, disentangling spectral shape distortions from overall normalizations and reducing systematic uncertainties. We also determine the weak mixing angle at low momentum transfer, providing a test of the Standard Model in a less-explored kinematic regime. A key systematic uncertainty in CE$\nu$NS ionization measurements is the nuclear quenching factor; we therefore present our results as a function of variations of the Lindhard model. For the nuclear form factor, we adopt the analytical Klein-Nystrand parametrization and benchmark it against predictions from the large-scale nuclear Shell Model, assessing the impact of nuclear structure uncertainties on our results. Our analysis demonstrates the power of combining datasets across different neutrino sources to maximize sensitivity to both nuclear and electroweak physics.

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.

Desk Editor's Note private letter to a colleague

Joint COHERENT plus CONUS+ fit on germanium tightens neutron radius and low-Q weak mixing angle but the gains sit on Lindhard quenching variations and Klein-Nystrand form factor.

read the letter

The paper runs a joint fit of the two germanium CEνNS datasets and reports tighter numbers for the rms neutron radius, neutron skin, and sin²θ_W at low momentum transfer. The complementarity argument is straightforward: different neutrino spectra help separate form-factor shape effects from overall normalization, including quenching.

They handle the main systematic by showing results across Lindhard model variations and by benchmarking the Klein-Nystrand parametrization against shell-model calculations. That choice is reasonable and they are explicit about it.

The soft spot is exactly where the stress-test note points. If the real quenching factor has energy dependence outside the Lindhard span they varied, or if nuclear-structure corrections at the relevant Q are larger than the shell-model spread, the extracted radius, skin, and weak angle pick up unquantified shifts. The abstract gives no numbers on how much the joint fit actually reduces the total uncertainty once those modeling choices are fixed, so the claimed improvement in precision is hard to judge from the text alone.

This is a narrow but solid piece of work for the CEνNS and low-energy electroweak community. It is not revolutionary, but it is a clean, reproducible analysis of existing data with transparent modeling choices. It deserves a serious referee because the data combination is new and the authors have done the obvious checks on the dominant systematics.

Referee Report

1 major / 0 minor

Summary. The manuscript performs a joint statistical analysis of germanium CEνNS data from COHERENT (pion-decay-at-rest neutrinos) and CONUS+ (reactor antineutrinos). It extracts the germanium root-mean-square neutron radius and neutron skin with claimed improved precision by disentangling spectral-shape distortions from normalization effects, and determines the weak mixing angle at low momentum transfer. Results are presented as a function of Lindhard-model variations for the quenching factor; the nuclear form factor adopts the analytical Klein-Nystrand parametrization benchmarked against large-scale Shell-Model calculations.

Significance. If the modeling assumptions hold, the work shows the benefit of combining complementary neutrino sources to tighten constraints on nuclear radii/skin and provide a low-Q test of the Standard Model. Presenting results versus Lindhard variations and benchmarking the form factor against Shell Model are positive methodological choices that help quantify part of the uncertainty.

major comments (1)

[Abstract] Abstract: the claim that the joint analysis reduces systematic uncertainties and improves precision on ⟨rₙ²⟩^{1/2}, neutron skin, and sin²θ_W rests on the assumptions that (i) the true germanium quenching factor lies within the span of the Lindhard variations explored and (ii) the Klein-Nystrand parametrization (after Shell-Model benchmarking) captures the relevant nuclear-structure uncertainty at the momentum transfers of both datasets. If either assumption fails, the extracted parameters acquire unquantified systematic shifts that undermine the asserted improvement.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We respond point-by-point to the major comment below.

read point-by-point responses

Referee: [Abstract] Abstract: the claim that the joint analysis reduces systematic uncertainties and improves precision on ⟨rₙ²⟩^{1/2}, neutron skin, and sin²θ_W rests on the assumptions that (i) the true germanium quenching factor lies within the span of the Lindhard variations explored and (ii) the Klein-Nystrand parametrization (after Shell-Model benchmarking) captures the relevant nuclear-structure uncertainty at the momentum transfers of both datasets. If either assumption fails, the extracted parameters acquire unquantified systematic shifts that undermine the asserted improvement.

Authors: We agree that the asserted improvements in precision and reduction of systematic uncertainties are conditional on the modeling assumptions for the quenching factor and nuclear form factor. The manuscript already makes this dependence explicit by presenting all extracted parameters as a function of Lindhard-model variations, which quantifies the impact of quenching uncertainties over the explored range. The benchmarking of the Klein-Nystrand parametrization against large-scale Shell-Model calculations similarly assesses the relevant nuclear-structure uncertainties at the momentum transfers probed by both datasets. This approach renders the sensitivity to these assumptions transparent rather than leaving them unquantified. The abstract accurately summarizes the analysis and its presentation; we therefore see no need to modify the abstract wording. revision: no

Circularity Check

0 steps flagged

No circularity: results from direct statistical fits to independent datasets

full rationale

The paper conducts a joint statistical analysis of COHERENT and CONUS+ CEνNS datasets to extract germanium neutron radius, skin, and low-Q weak mixing angle. These are obtained by fitting experimental data using the Lindhard model (with parameter variations) for quenching and the Klein-Nystrand parametrization (benchmarked to Shell Model) for the form factor. No load-bearing step reduces any extracted quantity to a quantity defined by the fit itself, nor does any self-citation chain or ansatz smuggling force the central results by construction. The derivation remains self-contained against external experimental inputs and standard nuclear models.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only information prevents exhaustive enumeration; the analysis rests on standard CEνNS modeling assumptions whose detailed parameter values are not supplied.

pith-pipeline@v0.9.1-grok · 5737 in / 1128 out tokens · 46082 ms · 2026-06-29T16:55:30.980035+00:00 · methodology

discussion (0)

Reference graph

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