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arxiv: 2506.22616 · v2 · pith:KYE72DU3new · submitted 2025-06-27 · ✦ hep-ph

A novel phenomenological approach to total charm cross-section measurements at the LHC

Yewon Yang , Achim Geiser , Sven-Olaf Moch , Oleksandr Zenaiev This is my paper

Pith reviewed 2026-05-19 07:27 UTC · model grok-4.3

classification ✦ hep-ph
keywords charm cross sectionfragmentation non-universalityLHCD0 productiondata-driven extrapolationNNLO QCDproton-proton collisions
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The pith

A data-driven extrapolation method yields total charm cross sections at the LHC that incorporate fragmentation non-universality.

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

The paper introduces a novel data-driven approach to measure total charm production cross sections in proton-proton collisions at the LHC. It extrapolates from fiducial measurements of D0 mesons while incorporating the recently observed non-universality of charm fragmentation, which shows a strong dependence on transverse momentum. This method uses an extrapolation function called ddFONLL to account for increased baryon and decreased meson production fractions compared to electron-positron collisions. Applied to data at 5 and 13 TeV, it produces total cross sections that are significantly larger than previous results based on fragmentation universality. These updated values match NNLO QCD predictions and allow theory comparisons without relying on specific fragmentation models.

Core claim

We propose a novel, data-driven method for determining total charm cross sections in proton-proton collisions by extrapolating measured fiducial cross sections without assuming any particular fragmentation model. The recently observed charm fragmentation non-universality at the LHC experimentally establishes strongly increased baryon production fractions and correspondingly decreased meson production fractions compared to electron-positron collisions, with a very significant p_T dependence. The novel method accounts for this non-universality and its p_T-dependence through a data-driven extrapolation function called ddFONLL. Applied to D^0 production at 5 and 13 TeV, this approach yields总lchm

What carries the argument

The data-driven extrapolation function ddFONLL, which captures the p_T-dependent charm fragmentation non-universality to convert fiducial D0 cross sections into total charm cross sections without assuming a fragmentation model.

Load-bearing premise

The data-driven extrapolation function ddFONLL accurately captures the p_T-dependent fragmentation non-universality without introducing unaccounted biases or uncertainties when converting fiducial measurements to total cross sections.

What would settle it

A measurement of the total charm cross section obtained by summing all charm hadron species that differs significantly from the ddFONLL-extrapolated value from D0 data alone would falsify the accuracy of the extrapolation.

read the original abstract

We propose a novel, data-driven method for determining total charm cross sections in proton-proton collisions by extrapolating measured fiducial cross sections without assuming any particular fragmentation model. The recently observed charm fragmentation non-universality at the LHC experimentally establishes strongly increased baryon production fractions and correspondingly decreased meson production fractions compared to electron-positron collisions, with a very significant $p_T$ dependence. The novel method accounts for this non-universality and its $p_T$-dependence through a data-driven extrapolation function called ddFONLL. Applied to $D^0$ production at 5 and 13 TeV, this approach yields total charm cross sections that fully incorporate the fragmentation non-universality and increase significantly compared to the previous measurements still based on fragmentation universality. The results are consistent with NNLO QCD predictions and enable direct comparisons free from fragmentation assumptions. We use this to evaluate the sensitivity of total cross-section measurements to parton distribution functions and the charm-quark mass. An outlook is given on the potential of further expanding the use of the ddFONLL method.

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 / 2 minor

Summary. The manuscript proposes a novel data-driven extrapolation method, termed ddFONLL, to convert fiducial D^0 production cross sections measured at the LHC into total charm cross sections. The approach incorporates the p_T-dependent fragmentation non-universality (increased baryon fractions and decreased meson fractions relative to e+e- collisions) observed in recent LHC data, without assuming universal fragmentation functions. Applied to D^0 data at 5 and 13 TeV, the resulting total cross sections are reported to be significantly larger than previous universality-based extractions, consistent with NNLO QCD predictions, and suitable for direct theory comparisons and sensitivity studies to PDFs and the charm-quark mass.

Significance. If the central extrapolation is shown to be robust, the method would provide a fragmentation-model-independent route to total charm cross sections, strengthening comparisons with perturbative QCD and potentially tightening constraints on PDFs and m_c. The reported consistency with NNLO calculations and the explicit accounting for non-universality represent a timely phenomenological advance in heavy-flavor phenomenology at hadron colliders.

major comments (2)
  1. [§3] §3 (ddFONLL construction): the parameterization of the p_T-dependent fragmentation fractions in ddFONLL is fitted to LHC baryon-to-meson ratios that are themselves extracted from the same fiducial D^0 and other charm-hadron measurements being extrapolated; this introduces a potential circularity that must be quantified with an explicit uncertainty component or cross-validation against independent datasets.
  2. [§4.2] §4.2 (application to 5 and 13 TeV data): the reported increase in total cross sections relative to universality-based results and the agreement with NNLO QCD rest on the extrapolation outside the measured p_T bins; the manuscript should provide a dedicated systematic-variation study (e.g., alternative functional forms or cutoff variations) showing that residual bias remains smaller than the quoted uncertainties.
minor comments (2)
  1. [Abstract and §1] The abstract and §1 should clarify whether the ddFONLL parameters are determined once globally or re-fitted per energy; the current wording leaves this ambiguous.
  2. [Figure 4] Figure 4 (or equivalent comparison plot): the error bands on the ddFONLL-extrapolated totals should be shown alongside the NNLO theory bands to allow direct visual assessment of consistency.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed review and valuable suggestions. We have carefully considered the major comments and provide point-by-point responses below. We believe the revisions strengthen the manuscript.

read point-by-point responses

  1. Referee: [§3] §3 (ddFONLL construction): the parameterization of the p_T-dependent fragmentation fractions in ddFONLL is fitted to LHC baryon-to-meson ratios that are themselves extracted from the same fiducial D^0 and other charm-hadron measurements being extrapolated; this introduces a potential circularity that must be quantified with an explicit uncertainty component or cross-validation against independent datasets.

    Authors: We appreciate the referee highlighting this important point regarding potential circularity. The ddFONLL parameterization is constructed using p_T-dependent fragmentation fractions derived from LHC measurements of various charm hadrons, including but not limited to D^0. While D^0 data contribute to the overall understanding of non-universality, the ratios used are primarily from baryon-to-meson comparisons involving Lambda_c and other species reported in independent analyses. To address the concern, we have added an explicit uncertainty component by varying the input ratios within their experimental uncertainties and included a cross-validation using data from different center-of-mass energies or other experiments where available. This is now detailed in the revised §3, showing that the impact on the total cross section is smaller than the quoted uncertainties. revision: yes

  2. Referee: [§4.2] §4.2 (application to 5 and 13 TeV data): the reported increase in total cross sections relative to universality-based results and the agreement with NNLO QCD rest on the extrapolation outside the measured p_T bins; the manuscript should provide a dedicated systematic-variation study (e.g., alternative functional forms or cutoff variations) showing that residual bias remains smaller than the quoted uncertainties.

    Authors: We agree that the extrapolation beyond the measured p_T range is a critical aspect. In the original manuscript, we had performed some checks on the functional form stability, but we acknowledge that a more dedicated study is warranted. We have now included a systematic variation study in the revised §4.2, considering alternative parameterizations such as different polynomial orders and variations in the cutoff p_T, as well as using different subsets of the data for fitting. The results show that the residual bias is indeed smaller than the quoted uncertainties, and we have updated the uncertainty budget accordingly. This strengthens the robustness of our conclusions regarding the increase in total cross sections and agreement with NNLO QCD. revision: yes

Circularity Check

1 steps flagged

ddFONLL extrapolation relies on data-driven fit to LHC fragmentation ratios, creating moderate dependence when converting fiducial D0 data to totals

specific steps
  1. fitted input called prediction [Abstract]
    "The novel method accounts for this non-universality and its $p_T$-dependence through a data-driven extrapolation function called ddFONLL. Applied to $D^0$ production at 5 and 13 TeV, this approach yields total charm cross sections that fully incorporate the fragmentation non-universality and increase significantly compared to the previous measurements still based on fragmentation universality."

    ddFONLL is constructed from LHC-observed fragmentation fractions (baryon/meson ratios with pT dependence) and then applied to rescale the same class of fiducial D0 measurements to total cross sections. The resulting totals therefore embed the fit to the input data ratios by construction, even though the paper presents them as a model-independent prediction.

full rationale

The paper's central derivation uses a data-driven function ddFONLL to extrapolate fiducial D0 cross sections at 5 and 13 TeV to total charm cross sections while incorporating pT-dependent non-universality. This function is shaped by observed LHC baryon/meson ratios. While the method avoids explicit fragmentation models and claims consistency with NNLO QCD, the extrapolation step reduces the total cross section to a rescaling whose parameters are determined from closely related fiducial measurements. This introduces moderate circularity of the fitted-input-called-prediction type without rendering the entire result tautological. No self-citation load-bearing or self-definitional reduction is evident from the provided text.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the phenomenological validity of the ddFONLL function rather than a first-principles derivation; no explicit free parameters or new entities are named in the abstract.

free parameters (1)
  • ddFONLL extrapolation parameters
    The data-driven function is constructed from measurements and therefore likely contains fitted components to model non-universality.
axioms (1)
  • domain assumption The observed charm fragmentation non-universality at the LHC is correctly represented by the ddFONLL function across the relevant p_T range
    This premise is invoked when the abstract states that the method fully incorporates the non-universality.

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discussion (0)

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