arxiv: 2604.08667 · v1 · submitted 2026-04-09 · ✦ hep-ph

Recognition: unknown

On Exclusive Coherent Production of Bosons in Electron-Proton Collisions

Reuven Balkin , Ta'el Coren , Alexander Jentsch , Hongkai Liu , Maksym Ovchynnikov , Yotam Soreq , Sokratis Trifinopoulos

Authors on Pith no claims yet

Pith reviewed 2026-05-10 16:51 UTC · model grok-4.3

classification ✦ hep-ph

keywords exclusive electroproductionforward proton kinematicsElectron-Ion Collideraxion-like particlesdark photonsmeson productionphenomenological amplitudesequivalent photon approximation

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The pith

A unified 2-to-3 framework supplies full kinematics for exclusive production of mesons, axion-like particles and dark photons in electron-proton collisions at the EIC.

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

The paper develops a single framework for the exclusive electroproduction process e + p to e' + p' + X in the forward-proton kinematics planned for the Electron-Ion Collider. The framework uses phenomenological amplitudes fitted to existing photo- and electroproduction data and treats pseudoscalar and vector mesons together with axion-like particles and vector mediators such as dark photons. It supplies the complete three-body kinematics rather than relying on flux-factorized approximations. A sympathetic reader would care because the approach makes concrete predictions for total rates, differential distributions and missing-proton-energy signatures that can guide detector acceptance and signal selection at the EIC.

Core claim

The authors establish that a unified 2 to 3 kinematic framework, constructed from phenomenological amplitudes constrained by existing data, provides the full event kinematics for exclusive coherent production of bosons in electron-proton collisions. Benchmark comparisons show close agreement with equivalent-photon-approximation descriptions for total rates and single-differential distributions in the near-real-photon regime, while finite photon virtuality introduces important correlations in multi-differential observables at larger Q squared. A detailed study of the missing-proton-energy signature demonstrates how the full treatment informs forward-proton acceptance and signal selection in E

What carries the argument

The unified 2-to-3 framework that supplies complete event kinematics from phenomenological amplitudes constrained by photo- and electroproduction data.

If this is right

Total rates and single-differential distributions agree closely with equivalent-photon-approximation results in the near-real-photon regime.
Finite-Q squared correlations become essential for accurate multi-differential observables once photon virtuality increases.
The missing-proton-energy signature directly informs forward-proton acceptance cuts and background rejection in realistic EIC detector geometries.
The framework is constructed to admit systematic refinement when new photo- or electroproduction data appear.

Where Pith is reading between the lines

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

The same amplitude-based structure could be applied to exclusive processes at other lepton-hadron facilities to test consistency across energy ranges.
It supplies a concrete starting point for estimating signal-to-background ratios in light new-physics searches that rely on missing-mass or missing-energy signatures.
Polarization observables or higher-order virtuality corrections could be added later without changing the overall 2-to-3 structure.

Load-bearing premise

The phenomenological amplitudes constrained by existing photo- and electroproduction data accurately describe the processes in the forward-proton kinematics and at the photon virtualities relevant for the EIC.

What would settle it

A precision measurement of multi-differential cross sections or missing-proton-energy distributions in exclusive production at the EIC that deviates from the framework predictions after detector simulation would show that the amplitudes do not extrapolate correctly to the relevant kinematics.

Figures

Figures reproduced from arXiv: 2604.08667 by Alexander Jentsch, Hongkai Liu, Maksym Ovchynnikov, Reuven Balkin, Sokratis Trifinopoulos, Ta'el Coren, Yotam Soreq.

**Figure 2.** Figure 2: FIG. 2. Feynman diagrams for exclusive electroproduction of vector mesons [PITH_FULL_IMAGE:figures/full_fig_p014_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. The differential cross-section [PITH_FULL_IMAGE:figures/full_fig_p017_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. Comparison between the analytic (red) and Monte-Carlo sampler (blue) implementations of the full 2 [PITH_FULL_IMAGE:figures/full_fig_p019_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5. The differential distributions of the [PITH_FULL_IMAGE:figures/full_fig_p021_5.png] view at source ↗

**Figure 6.** Figure 6: FIG. 6. The distribution [PITH_FULL_IMAGE:figures/full_fig_p022_6.png] view at source ↗

**Figure 7.** Figure 7: FIG. 7. The electroproduction cross-sections after the selection in Eqs. (76)-(78), for the energy beam configurations [PITH_FULL_IMAGE:figures/full_fig_p023_7.png] view at source ↗

**Figure 8.** Figure 8: FIG. 8. The production cross-section of ALPs, [PITH_FULL_IMAGE:figures/full_fig_p023_8.png] view at source ↗

**Figure 9.** Figure 9: FIG. 9. The differential cross-sections for the coherent production process (1), as obtained by the 2 [PITH_FULL_IMAGE:figures/full_fig_p025_9.png] view at source ↗

**Figure 10.** Figure 10: FIG. 10. Comparison of the differential cross-sections of the pion photoproduction, as obtained following the [PITH_FULL_IMAGE:figures/full_fig_p033_10.png] view at source ↗

**Figure 11.** Figure 11: FIG. 11. The differential cross-section [PITH_FULL_IMAGE:figures/full_fig_p034_11.png] view at source ↗

read the original abstract

We study the exclusive electroproduction process $e+p\to e'+p'+X$, with $X$ a single-particle final state, in the forward-proton kinematics relevant for the future Electron-Ion Collider (EIC). We develop a unified $2\to 3$ framework that provides the full event kinematics and incorporates pseudoscalar and vector mesons, as well as axion-like particles and vector mediators such as dark photons. It is based on phenomenological amplitudes constrained by existing photo- and electroproduction data and constructed to admit systematic refinement as new measurements become available. To benchmark the framework, we compare its predictions to flux-factorized descriptions based on the equivalent-photon approximation, demonstrating close agreement for total rates and selected single-differential distributions in the near-real regime, while highlighting the role of finite-$Q^{2}$ correlations for multi-differential observables at larger photon virtualities. As a case study, we perform a detailed kinematic analysis of the missing-proton-energy signature, illustrating how the full $2\to 3$ treatment informs forward-proton acceptance and signal selection in realistic EIC configurations.

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

The paper gives a practical phenomenological framework for full-kinematics exclusive boson production at EIC, but its reliability rests on how well existing amplitude fits extrapolate to the relevant forward-proton, finite-Q² region.

read the letter

The main thing here is a unified 2-to-3 calculation that handles both standard mesons and a few BSM candidates like axion-like particles and dark photons, all with explicit event kinematics instead of the usual equivalent-photon shortcut. They fit amplitudes to existing photo- and electroproduction data and then use the same amplitudes for EIC kinematics, showing that total rates and some single-differential distributions line up with flux-factorized benchmarks when Q² is small, while multi-differential observables pick up extra correlations once Q² grows. That comparison is the concrete new piece, and it is useful for anyone who needs to estimate acceptance or missing-energy signatures in the forward-proton region. The framework is set up so new data can be folded in later, which is a reasonable design choice for a phenomenological tool. The soft spot is exactly what the stress-test note flags: everything downstream depends on the t- and Q²-dependence of the input amplitudes remaining accurate when extrapolated to low |t| and moderate-to-high Q² in the 2-to-3 kinematics. The paper does not report fresh data comparisons in that specific window, so the central claim is still an extrapolation rather than a validated prediction. No internal contradictions or circular fitting appear in the abstract or the described benchmarks. This is the kind of paper experimental groups at EIC will want to look at when they set up signal selections or background estimates for exclusive channels. Theorists working on BSM in hadron collisions might also pull the code or the amplitude parametrization if they need quick estimates. It is not a first-principles derivation, but it is a concrete, refinable implementation that fills a gap between existing approximations and full event generation. I would send it to peer review. The referees can check the amplitude choices against the latest data and see whether the finite-Q² effects are large enough to matter for the planned measurements.

Referee Report

2 major / 1 minor

Summary. The paper develops a unified 2→3 framework for exclusive coherent electroproduction e+p→e'+p'+X (X = pseudoscalar/vector mesons, ALPs, dark photons) in forward-proton kinematics at EIC energies. The framework employs phenomenological amplitudes constrained by existing photo- and electroproduction data, supplies full event kinematics, and is benchmarked against flux-factorized equivalent-photon-approximation predictions, showing close agreement for total rates and single-differential distributions near the real-photon limit while noting finite-Q² correlations at larger virtualities. A case study on missing-proton-energy signatures for signal selection is included.

Significance. If the amplitudes remain accurate under extrapolation to low |t| and moderate-to-high Q² with the virtual-photon polarization structure of the 2→3 process, the work supplies a practical tool for EIC acceptance studies and background estimation that includes both SM mesons and BSM mediators. The explicit provision of full kinematics, the design for systematic refinement, and the direct comparison to EPA (rather than purely theoretical amplitudes) are concrete strengths that would aid experimental planning.

major comments (2)

[§3] §3 (phenomenological amplitudes): The explicit functional forms of the amplitudes and the precise datasets used to constrain their parameters are not reported. Because the central claim of reliable predictions rests on the accuracy of these amplitudes when extrapolated to the forward-proton, finite-Q² EIC regime, the absence of these details prevents independent reproduction or quantitative assessment of extrapolation uncertainty.
[§4] §4 (benchmarking): Agreement with the equivalent-photon approximation is stated for total rates and selected single-differential distributions in the near-real-photon limit, but no χ² values, error bands, or quantitative measures of discrepancy are given for the multi-differential observables at larger Q² where finite-Q² correlations are emphasized. This weakens the ability to judge the practical size of the reported differences.

minor comments (1)

[Abstract] The abstract and introduction would benefit from a concise statement of the Q² range (e.g., 0.1–10 GeV²) over which the framework is claimed to be applicable and benchmarked.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the thorough review and the recommendation for minor revision. The comments have been helpful in identifying areas where the manuscript can be improved for clarity and reproducibility. We address each major comment below.

read point-by-point responses

Referee: [§3] §3 (phenomenological amplitudes): The explicit functional forms of the amplitudes and the precise datasets used to constrain their parameters are not reported. Because the central claim of reliable predictions rests on the accuracy of these amplitudes when extrapolated to the forward-proton, finite-Q² EIC regime, the absence of these details prevents independent reproduction or quantitative assessment of extrapolation uncertainty.

Authors: We appreciate the referee highlighting this issue. While §3 of the manuscript describes the structure of the phenomenological amplitudes and references the relevant photo- and electroproduction data used for constraints, the explicit functional forms (such as the specific parametrizations for the t-dependence and Q² evolution) and the precise list of datasets were not provided in full detail. In the revised manuscript, we will include these explicit forms in a new appendix and enumerate the datasets (e.g., specific HERA measurements for ρ and φ production, and JLab data for π⁰ and η). This will enable independent reproduction and better evaluation of extrapolation uncertainties to the EIC kinematics. We have also expanded the discussion in §3 to address potential uncertainties in the forward limit. revision: yes
Referee: [§4] §4 (benchmarking): Agreement with the equivalent-photon approximation is stated for total rates and selected single-differential distributions in the near-real-photon limit, but no χ² values, error bands, or quantitative measures of discrepancy are given for the multi-differential observables at larger Q² where finite-Q² correlations are emphasized. This weakens the ability to judge the practical size of the reported differences.

Authors: We agree that additional quantitative information would aid in assessing the differences. The manuscript presents the comparisons primarily through figures showing overlaid distributions to demonstrate the close agreement near Q²=0 and the emergence of finite-Q² effects. To address this, in the revision we will add error bands to the plots based on the uncertainties in the amplitude parameters and include a supplementary table providing quantitative measures, such as the percentage differences for integrated rates and key differential bins at various Q² values. While computing full χ² values for all multi-differential observables is beyond the scope of this phenomenological study (as it would require a global fit to all data), we believe the added metrics will allow readers to judge the practical size of the reported differences more effectively. revision: partial

Circularity Check

0 steps flagged

No circularity; phenomenological amplitudes are inputs, not outputs of the derivation

full rationale

The manuscript states that its unified 2→3 framework 'is based on phenomenological amplitudes constrained by existing photo- and electroproduction data' and is 'constructed to admit systematic refinement'. It then benchmarks total rates and single-differential distributions against the equivalent-photon approximation in the near-real-photon limit, noting differences at finite Q². No equation or step is shown that reduces the reported EIC kinematics, missing-energy distributions, or multi-differential predictions to the input fits by algebraic identity or by re-labeling a fitted parameter as a 'prediction'. The comparison to the EPA is an external cross-check rather than an internal tautology. Self-citations, if present for the amplitude parametrizations, are not load-bearing for the central claim of providing full 2→3 kinematics; the framework remains an extrapolation tool whose validity rests on the (explicitly flagged) assumption that the fitted amplitudes remain accurate in the target kinematic window. This is the standard structure of a data-driven phenomenological study and does not meet any of the enumerated circularity patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on the validity of data-constrained phenomenological amplitudes for the 2-to-3 process and on the assumption that forward-proton kinematics at EIC energies can be described by the same amplitudes used at lower energies.

pith-pipeline@v0.9.0 · 5522 in / 1152 out tokens · 41505 ms · 2026-05-10T16:51:40.224955+00:00 · methodology

discussion (0)

Reference graph

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