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REVIEW 4 major objections 3 minor 45 references

Exclusive process $\gamma \gamma \rightarrow J/\psi+\gamma$ production in ultraperipheral proton and nuclear collisions at the HL-LHC and FCC

T0 review · 4 major / 3 minor · reviewed 2026-08-04 · deepseek-v4-flash

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Pith's one-line read NLO QCD corrections suppress exclusive J/ψ+γ production, but the channel stays observable at the HL-LHC.

desk verdict Plausible NLO update with a real new element (b-dependent survival probability), but the NLO real-gluon phase space is undefined and the abstract overclaims the scope; deserves a rigorous referee. read the letter →

arxiv 2510.10318 v2 pith:HKG2UH7D submitted 2025-10-11 hep-ph

Meng-Kun Jia , Xiao-Bo Jin , Kui-Yong Liu , Guang-Zhi Xu This is my paper · ORCID
classification hep-ph
keywords NRQCDcharmoniumJ/psiproductionultraperipheralcollisionsphoton-photonfusionNLOQCDcorrectionsimpactparameterHL-LHC
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper argues that exclusive J/ψ+γ production via photon-photon fusion in proton-proton ultraperipheral collisions is a viable observable at the High-Luminosity LHC. It presents an NRQCD-based NLO calculation that reduces the leading-order cross section of 155 fb to 107–130 fb (K-factor 0.69–0.82) for pT>0, and to 6–10 fb (K-factor 0.43–0.65) when a pT>2 GeV cut is applied. The calculation explicitly retains the impact-parameter dependence of the photon fluxes, which enforces the exclusivity of the final state and lowers the rate relative to earlier estimates. The authors conclude that with 150 fb−1 of data and the J/ψ→μ+μ− branching ratio, the HL-LHC should record roughly a thousand signal events, making the process a sensitive probe of charmonium photoproduction mechanisms.

What carries the argument

The central object is the NRQCD factorization formula dσ = ∫dEγ1/Eγ1 dEγ2/Eγ2 d²N(γ1,γ2)/dEγ1dEγ2 × dσ̂(γγ→c̄c[3S1[1]]+γ) × ⟨O[J/ψ]⟩, where the photon number densities are obtained from the electric-dipole form factor and carry an explicit dependence on the impact parameter b. The flux convolution includes the hadronic survival probability P_noinel(|b1−b2|), which suppresses events with additional inelastic hadronic interactions and thereby enforces the exclusive final state. The NLO short-distance coefficients are computed with dimensional regularization, on-shell renormalization for the charm-quark wave function and mass, and MS renormalization for the strong coupling; the authors emphasiz

What would settle it

Recompute the NLO cross section with an explicit definition of the real-emission phase space (for example, a gluon energy cutoff) for pT>2 GeV; if the result falls outside the quoted 6.31–10.25 fb range, the paper's central numbers are not reproducible under a different but equally plausible exclusivity prescription. Experimentally, an HL-LHC measurement of the exclusive J/ψ+γ cross section with pT>2 GeV that disagrees with the predicted range by more than the scale variation would likewise falsify the calculation.

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Extended reading notes

Core claim

Within the NRQCD factorization framework, taking the charm–anticharm pair in the color-singlet 3S1[1] channel and modeling the proton's photon flux with the electric-dipole form factor while explicitly integrating over impact parameter, the exclusive γγ→J/ψ+γ cross section at 14 TeV pp UPCs is predicted to be 155 fb at leading order. Including NLO QCD corrections renormalized in the on-shell and MS schemes yields 107.5–130.1 fb for pT>0 (central 120.6 fb) and 6.31–10.25 fb for pT>2 GeV, corresponding to K-factors of 0.69–0.82 and 0.43–0.65, respectively. These numbers, after accounting for the 5.961% J/ψ→μ+μ− branching ratio, translate into 961–1163 expected signal events at the HL-LHC with

Load-bearing premise

The NLO cross-section numbers rest on an unspecified treatment of real-gluon emission: the process must remain exclusive, so any emitted gluon must be absent or soft, but the paper does not state how that constraint is implemented or how infrared divergences cancel under it.

Editorial extensions

If this is right

  • If the NLO prediction is right, the exclusive J/ψ+γ channel will be measurable at the HL-LHC with approximately one thousand clean dimuon events, enough for first differential pT and rapidity studies.
  • The K-factor decreases steeply with the pT cut (0.69–0.82 for pT>0 versus 0.43–0.65 for pT>2 GeV), indicating that perturbative convergence worsens at high pT and that NNLO corrections will be needed for precision comparisons.
  • Because the impact-parameter-dependent flux lowers the cross section relative to calculations that assume a 100% survival probability, any data-theory comparison must use the b-dependent treatment to be meaningful.
  • The predicted NLO suppression in the central rapidity region (|y|<2) provides a qualitative feature that can be checked directly with the HL-LHC forward-detector data.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The paper's conclusions extend naturally to nuclear UPCs (O, Ca, Ar, Kr, Xe, Pb) as announced in the title and abstract, but the numerical results in this version are limited to proton–proton collisions; the nuclear predictions would be a straightforward extension of the same machinery.
  • A decisive test of the exclusivity assumption would be to compute the NLO cross section with a soft-gluon cutoff; if the result moves outside the quoted scale-variation band, the unstated real-emission phase-space definition is the main source of uncertainty.
  • Measuring the ratio of cross sections with pT>2 GeV and pT>0 would isolate the NLO suppression pattern from normalization uncertainties, since the predicted ratio changes by roughly a quarter relative to LO.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 3 minor

Summary. The paper presents an NRQCD-based NLO calculation of exclusive J/ψ+γ production via photon-photon fusion in ultraperipheral proton-proton collisions at √s_NN = 14 TeV, using the electric-dipole form-factor photon flux with explicit impact-parameter dependence and a hadronic survival probability. It reports LO and NLO total cross sections, K-factors for pT>0 and pT>2 GeV, differential pT and rapidity distributions, and expected event yields at the HL-LHC after including the J/ψ→μ+μ− branching fraction. The advertised abstract also claims proton-nucleus and nucleus-nucleus predictions and FCC event yields, but the body of the paper contains only pp results at 14 TeV and HL-LHC luminosities.

Significance. If the NLO calculation is correct, the paper would provide a useful exclusive quarkonium-plus-photon production prediction with a more consistent treatment of the impact-parameter-dependent survival probability than some earlier work. The paper fits no data; all inputs are taken from previous literature, and the LO photon-flux framework is standard. The scale-variation bands and the discussion of the pT dependence are valuable. However, the central NLO claim is not reproducible as written because the treatment of real-gluon emission is never specified, and the published abstract overstates the content of the manuscript.

major comments (4)
  1. [§2, Eqs. (6)–(9)] The NLO calculation is described only by listing renormalization constants. No discussion is given of the real-gluon emission diagrams, their phase-space integration, or how they are reconciled with the exclusive final state γγ→J/ψ+γ. A real gluon in the final state breaks exclusivity; if it is integrated over the observable is inclusive, while if it is vetoed or restricted by a soft cut the result depends on an unstated parameter. The IR poles in the virtual corrections require a specified cancellation mechanism. Since Table 1 and the event yields depend on this choice, the quoted NLO cross sections (107.5–130 fb) are not uniquely defined as written.
  2. [Abstract vs. §3] The abstract states that the study covers proton-proton, proton-nucleus, and nucleus-nucleus collisions with nuclear species O, Ca, Ar, Kr, Xe, and Pb at both HL-LHC and FCC, and that event yields are given for the FCC. Section 3 contains only pp collisions at √s=14 TeV and event yields for the HL-LHC. No pA, AA, or FCC results appear anywhere in the text. The title also advertises 'proton and nuclear collisions'. This is a major scope mismatch that must be corrected, either by adding the missing results or by revising the abstract and title to match the actual content.
  3. [§4 Conclusion vs. Table 1] The conclusion states that NLO corrections reduce the cross section from 155 fb to 107.5 fb. In Table 1, the NLO cross section for pT>0 ranges from 107.49 to 130.09 fb, with the central value at μr=√(4m_c²+pT²) equal to 120.62 fb and the value 107.5 corresponding to the lower edge of the scale variation. The conclusion should quote the central value or explicitly identify 107.5 fb as a scale-variation endpoint, not as the representative NLO result. The abstract's 'between 107.5 fb and 130 fb' is acceptable as a range, but the conclusion's phrasing is misleading.
  4. [§3, Eq. (11)] Equation (11) gives the charm quark mass as m_c = 1.5 MeV. This is three orders of magnitude smaller than the value used in the numerical calculation; evidently GeV is intended. Because m_c enters the phase space and the renormalization constants, this typo is confusing and should be corrected.
minor comments (3)
  1. [Fig. 1 caption] The caption text 'NLO with scale /uni03BC μ uncertainty' contains a garbled Unicode escape; it should simply say 'NLO with scale μ uncertainty'. Similar artifacts appear in the label of Fig. 2.
  2. [References] Reference [16] is incomplete: it gives a title and year but no journal, volume, pages, or arXiv number. Several other references also lack full bibliographic data (e.g., [20], [21], [22]). The authors should ensure all references are complete.
  3. [Notation] The survival probability is written as Pnoinel in Eq. (3) but P_noinel in Eq. (4) and in the text. Use a single notation consistently.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: cross sections are computed from external inputs, not fitted or self-referential.

full rationale

The derivation chain is explicit: Eq. (1) convolves the two-photon flux (Eqs. (3)-(5)) with NRQCD short-distance coefficients and LDMEs. All numerical inputs (Z=1, R_p=0.7 fm, m_p, alpha, m_c, |R_S(0)|^2, Lambda_QCD) are quoted from external sources or are standard constants; no parameter is fitted to the process being predicted. The LO cross section (155 fb) is a direct evaluation of the integral, and the NLO result is obtained from the same formula with renormalized amplitudes; the K-factor is just the ratio sigma_NLO/sigma_LO computed from those two independent evaluations, not a fitted normalization. The flux model is taken from the gamma-UPC framework rather than being derived here, but adopting an external model as input is not circular: the paper does not claim to derive the flux from the J/psi+gamma cross section. The renormalization constants quoted from Ref. [32] are standard one-loop constants stated explicitly in the text; this citation involves a co-author of the present paper, but it is not load-bearing in the sense of carrying the central result, and the constants can be independently verified. Refs. [6] and [32] are self-citations only in the incidental sense of shared authorship and are not used to forbid alternatives or to assert uniqueness. The main weakness of the paper is that the treatment of real-gluon emission in the NLO phase space is not described, which affects reproducibility and correctness assessment, but that is an omission or validity risk, not circularity: the quoted numbers do not reduce by construction to a fitted input or to a self-citation chain.

Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

The paper introduces no new entities. It relies on standard NRQCD factorization, a published photon-flux model (gamma-UPC), and a published LDME. The main free choices are the renormalization scale and the parameters governing the photon flux and survival probability, all taken from prior literature.

free parameters (5)
  • Renormalization scale mu_r = Varied over central/sqrt(x1x2s) and central/sqrt(4mc^2+pT^2), with factors 1/2 and 2; not fitted
    Used to define NLO central values and scale uncertainties. The choice is conventional and not derived from data.
  • Photon flux parameters (b0 slope, Rp, epsilon) = b0 = 20.6 GeV^-2 at 14 TeV from A=9.81, B=0.211, C=0.00185 GeV^-2; Rp = 0.7 fm; epsilon = 1
    Taken from the gamma-UPC framework and fits to elastic scattering (Refs. [26,31]). Not fitted in this paper, but the central results depend on them.
  • Charm quark mass mc = 1.5 GeV (paper writes '1.5 MeV' in Eq. (11))
    Input for NLO calculation and scales. The typo signals carelessness but the intended value is standard.
  • NRQCD LDME |R_S(0)|^2 = 0.81 GeV^3
    Taken from Eichten-Quigg potential-model wave functions (Ref. [27]), not fitted here.
  • QCD parameters (Lambda_QCD, nf) = Lambda_QCD = 297 MeV, nf = 4
    Standard inputs for two-loop running alpha_s in Eq. (12).
assumptions (5)
  • domain assumption NRQCD factorization for exclusive production with only the color-singlet 3S1 channel.
    Equation (1) and the text state only the color-singlet LDME is considered; no color-octet contributions or v-suppressed corrections are included.
  • domain assumption Equivalent-photon approximation with the electric-dipole form factor (EDFF) for the photon flux.
    Equation (5) gives the EDFF flux; the calculation relies on the standard Weizsacker-Williams approximation for ultraperipheral collisions.
  • domain assumption Impact-parameter-dependent survival probability P_noinel with the specified eikonal forms.
    Equation (4) defines P_noinel for pp, pA, and AA; for pp it uses an exponential form with b0 fitted elsewhere. The exclusivity of the process depends on this.
  • standard math On-shell renormalization for heavy quark and gluon wave functions, MS for the strong coupling.
    Eqs. (6)-(9) list the renormalization constants from standard QCD; invoked without proof.
  • standard math Two-loop running of alpha_s with nf=4 and Lambda_QCD=297 MeV.
    Eq. (12) defines alpha_s(mu_r); standard perturbative QCD input.

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Pith. "Pith review of Exclusive process $\gamma \gamma \rightarrow J/\psi+\gamma$ production in ultraperipheral proton and nuclear collisions at the HL-LHC and FCC." pith.science (2026). https://pith.science/paper/HKG2UH7D

@misc{pith2026251010318,
  author       = {Pith},
  title        = {Pith review of: Exclusive process $\gamma \gamma \rightarrow J/\psi+\gamma$ production in ultraperipheral proton and nuclear collisions at the HL-LHC and FCC},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HKG2UH7D}},
  note         = {Machine review of arXiv:2510.10318}
}
abstract

We present a next-to-leading-order (NLO) analysis of exclusive $J/\psi+\gamma$ production via photon-photon fusion in ultraperipheral collisions at the High-Luminosity Large Hadron Collider (HL-LHC) and the Future Circular Collider (FCC). The study is performed within the NRQCD factorization framework for proton-proton, proton-nucleus, and nucleus-nucleus collisions, with nuclear species spanning a wide range of nuclear charges (O, Ca, Ar, Kr, Xe, and Pb), enabling a systematic investigation of nuclear effects on the production cross sections. The photon fluxes are modeled using an electric-dipole form factor, with the impact-parameter dependence strictly enforced to ensure the exclusivity of the process. We present predictions for total cross sections and kinematic distributions at leading order and NLO. With a transverse momentum cut of $p_T > 2\,\mathrm{GeV}$, the NLO corrections reduce the cross section by approximately $35\%$ at the central scale. The associated theoretical uncertainties are systematically estimated via renormalization scale variations. Despite this suppression, the cross sections remain sizable and indicate that exclusive $J/\psi + \gamma$ production serves as a sensitive probe of photon-induced quarkonium production mechanisms. We thus present the corresponding event yields predicted for the HL-LHC and the FCC.

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Reviewed August 4, 2026 · model on record in the stance chip above.