REVIEW 2 major objections 6 minor 120 references
Automated NLO calculations for asymmetric hadron-hadron collisions in MadGraph5_aMC@NLO
T0 review · 2 major / 6 minor · reviewed 2026-08-10 · deepseek-v4-flash
Pith's one-line read The authors present an extension of MadGraph5_aMC@NLO that automates NLO QCD predictions for asymmetric hadron-hadron collisions (pA, AB, pion-hadron), validated against MCFM and JAM, with automatic scale and PDF uncertainties.
desk verdict Useful, well-validated tooling extension for asymmetric NLO collisions; the alpha_s-from-second-PDF bookkeeping is a real but documented caveat, not a reason to hold it up. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The key object is the factorisation formula for asymmetric collisions (Eq. (7)), in which the two incoming hadrons $h_1$ and $h_2$ carry independent parton distributions. The extension leans on the existing NLO weight decomposition of MadGraph5_aMC@NLO, where each contribution to the cross section is written as a product of PDFs and a weight $W^{(\alpha)}$ whose scale dependence is factored into coefficients; this lets the code reweight for different scales and PDFs without recomputing matrix elements. The practical modifications are a list of two or more LHAIDs in the run_card (the first is hadron $h_1$, the rest are $h_2$ variants), an `asymm_choice` flag to activate the mode, and a `cms_frame` flag that selects whether the cuts and output are in the laboratory or hadronic centre-of-mass frame.
What would settle it
A decisive check would be to run the code for a process in pPb or PbPb collisions where power corrections are expected to be large—for example forward $J/\psi$ production, which the paper lists among processes sensitive to non-factorising effects—and compare the NLO prediction against LHC data; a systematic discrepancy growing toward forward rapidity or with nuclear size would signal that the factorisation assumption underlying the extension is breaking down. A second, more direct test of the implementation choices is to recompute the same asymmetric observable with the LHAID order reversed, so that $\alpha_S$ is taken from the other PDF set, and check that the shift stays within the quoted uncertainties.
Extended reading notes
Core claim
The central claim is that the collinear-factorisation machinery of MadGraph5_aMC@NLO can accommodate asymmetric hadron collisions with a minimal modification: the run_card accepts two distinct LHAPDF sets, one per incoming hadron, and the cross section is computed from the factorisation formula with $f_{a/h_1}$ and $f_{b/h_2}$, with the strong coupling $\alpha_S$ taken from the second PDF set. The code then automatically produces both symmetric and asymmetric cross sections, with scale and PDF uncertainties, in the laboratory frame by default and optionally in the hadronic centre-of-mass frame. The validations—$W^+$ and $Z$ production in $p$Pb at 5.02 TeV against MCFM, and $\pi^-W$ Drell-Yan at 21.7 GeV against the JAM prediction and E615 data—are reported as agreeing within uncertainties, which the paper takes as establishing the numerical correctness of the asymmetric implementation.
Load-bearing premise
The load-bearing premise is that collinear factorization remains valid when the two incoming hadrons are of different species, an assumption the paper itself flags as not formally proven for most asymmetric systems, with power-suppressed corrections believed to be enhanced.
Editorial extensions
If this is right
- Heavy-ion analyses can obtain NLO QCD predictions for pA and AB reactions from a single public tool, with automatic scale and nuclear-PDF uncertainties, instead of maintaining private modified codes.
- Nuclear modification factors for any process—including W, Z, charm, bottom, and associated $H+b\bar b$ production—can be produced in one run, with the nPDF uncertainty propagated as recommended by the PDF sets.
- Pion-beam phenomenology, such as Drell-Yan and heavy-flavour production used to constrain pion PDFs, becomes accessible at NLO in an automated generator.
- Because the extension inherits the process automation of MadGraph5_aMC@NLO, it applies to any Standard Model or BSM process, not only the illustrative examples in the paper.
- The laboratory-frame default with an optional centre-of-mass frame accommodates fixed-target and other asymmetric-energy configurations.
Reading between the lines
- A natural test the authors did not report is to quantify how much the cross section changes when $\alpha_S$ is taken from the first PDF set instead of the second; if that shift is sizable relative to the quoted uncertainties, the $\alpha_S$-compatibility assumption would need a more careful treatment.
- The automatic NMF computation from stored histograms could be extended to ratios between different nuclear species in a single run, which would make system-size scans (for example $p$Ne versus $p$Pb) straightforward for the LHC fixed-target programme.
- If collinear factorization proves insufficient in the nuclear case, the two-PDF input interface built here is a natural platform for generalising the framework toward $k_T$-factorisation or other schemes, though that would require new subtraction machinery.
- The validations cover electroweak-boson and Drell-Yan processes; applying the tool to heavy-flavour production at forward rapidities—where the gluon nPDF is poorly constrained—would be a stronger test of the implementation's numerical accuracy.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper reports an extension of MadGraph5_aMC@NLO in which the two incoming hadrons can be assigned distinct LHAPDF sets, enabling NLO QCD fixed-order cross sections for asymmetric collisions such as pPb, pi-p, pi-A, and AB. The authors adapt the existing reweighting machinery so that scale and PDF uncertainties are computed automatically for both symmetric and asymmetric settings, add a lab-frame/c.m.s.-frame option, and provide automatic computation of the two orderings h1h2 and h2h1. The implementation is validated by comparing W and Z production in pPb at sqrt(s_NN)=5.02 TeV against MCFM and Drell-Yan pair production in pi-W collisions at sqrt(s)=21.7 GeV against the JAM collaboration's NLO calculation, with good agreement. Illustrative pPb results for W/Z, c and b quark production, and H+b bbar production, including nuclear modification factors, are also presented, and the code is publicly available at nloaccess.in2p3.fr.
Significance. If the advertised capabilities hold, this fills a concrete gap: there is no publicly available, automated NLO QCD code for asymmetric hadronic collisions. The validations in Figs. 1 and 2 are genuine benchmarks against independent physics targets, and the automatic treatment of scale and PDF uncertainties is a practical strength. The pPb W/Z comparison is particularly valuable because it includes nPDF uncertainties, and the pi-W Drell-Yan validation against JAM is an important complement. The main caveats are that the MCFM comparison relies on an APPLgrid setup previously developed by the same group (refs. [110,111]), that the heavy-flavour predictions in Fig. 6 are not independently cross-checked, and that the collinear-factorisation assumption for pA/AB is not formally proven (acknowledged in Sec. 2.1). These caveats do not invalidate the central claim, but they should be visible to users. The code is downloadable from a URL, though no versioned archive is provided.
major comments (2)
- [Sec. 3.1, Eq. (7); item 2 of the default computations] Equation (7) fixes the strong coupling used in the matrix element from LHAID_h2, i.e. from the PDF set of the second hadron. When the code computes 'both h1h2 and h2h1 collisions', as stated in item 2 of Sec. 3.1, the roles of the two PDF sets are exchanged and the alpha_s source is therefore swapped. If the two LHAPDF sets do not share the same alpha_s value and running, a case the paper explicitly anticipates in Sec. 3.1 for pion PDFs, then dsigma(h1h2) and dsigma(h2h1) will not be mirror images under y -> -y even though they describe the same physical process. The paper warns that the choice 'can have practical consequences' but the code still silently outputs both orderings, so a user can obtain two different results for one physical observable depending on the arbitrary ordering of the LHAID list. This inconsistency is load-bearing for the advertised both-ordering capability. Please either enforce alpha_s consistency when both orderings are requested, or compute both orderings with alpha_s taken from a single designated PDF set, and document the residual ambiguity in the run_card documentation.
- [Sec. 3.2] All validation plots test only one ordering: h1h2 for pPb and for pi-W. The h2h1 ordering is advertised as an automatic output but is never validated, and because of the alpha_s asymmetry in Eq. (7) it is not guaranteed to equal the appropriately reflected h1h2 result. I request at least one explicit numerical check, e.g. a process with consistent PDF sets where the h2h1 output is compared with the reflected h1h2 output, or a clear statement limiting the h2h1 output to PDF sets with identical alpha_s.
minor comments (6)
- [Sec. 3.2] There is a duplicated word in the sentence 'We compare our MG5aMC-based computation for d2sigma/dsqrt(tau)dx_F with with that of the JAM Collaboration'; 'with with' should be 'with'.
- [Appendix] The run_card template in the appendix contains the placeholder 'For details see: arXiv:XXXX'; this should be replaced with the actual paper identifier.
- [Sec. 4.2, Fig. 6] The heavy-flavour and H+b bbar predictions in Fig. 6 are not cross-checked against any independent calculation; the text should state explicitly that these are illustrative and not validated, rather than leaving this to be inferred from the general disclaimer at the start of Sec. 4.
- [Sec. 3.2, Fig. 2] The LO MG5aMC band is significantly below the data and the NLO result; a brief comment on whether this is the expected K-factor for this kinematics would help the reader interpret the figure.
- [Sec. 5] The code availability statement gives a URL but no version or checksum; for reproducibility, consider referencing a versioned archive (e.g. Zenodo) in addition to the live service.
- [Sec. 2.2 and Sec. 3.1] The notation for the hadron is 'h' in the symmetric formulas of Sec. 2.2 and 'h1/h2' in the asymmetric formulas of Sec. 3.1; using h1/h2 consistently throughout would avoid confusion.
Circularity Check
No significant circularity; the code extension is validated against external codes and no prediction reduces to a fitted input.
full rationale
The paper's central deliverable is a technical extension of MadGraph5_aMC@NLO to asymmetric hadron collisions. The governing formula, Eq. (7), is the standard collinear-factorization expression with two independent PDF sets and an explicit convention for alpha_s taken from the second PDF set; no parameter is fitted in this paper, and no advertised result is obtained by renaming an input as an output. The validations in Figs. 1 and 2 compare against MCFM and JAM numerical results, both external to the authors, using shared external PDFs (CT10nlo/nCTEQ15 and JAM21/EPPS16), so the agreement is an independent numerical benchmark rather than a self-referential prediction. The only self-citation is the use of the authors' earlier MCFM+APPLgrid setup in footnote 12 (refs. [110,111]); this is a validation cross-check, not a load-bearing argument for the physics claim, because MCFM itself is an established independent code and the comparison does not define the result. The paper's own limitations are candidly stated: factorization for most asymmetric systems is not formally proven (Sec. 2.1), and the alpha_s-from-h2 convention in Eq. (7) 'can have practical consequences' (Sec. 3.1). These are consistency and interpretation caveats, and the alpha_s convention is explicitly acknowledged rather than disguised as a prediction. There is no circular derivation chain here, so the circularity score is 0.
Assumptions & free parameters
assumptions (4)
- domain assumption Collinear QCD factorization applies to asymmetric hadronic collisions (pA, AB, pi-hadron), with the same form as Eq. (1) and only the PDFs changed.
- domain assumption The two LHAPDF PDF sets used in an asymmetric run are sufficiently consistent in alpha_s and heavy-quark treatment; alpha_s is taken from the h2 set.
- domain assumption The MG5aMC reweighting scheme (bW coefficients are PDF-independent) remains valid when two different PDFs are combined.
- ad hoc to paper Proton-PDF uncertainty is negligible relative to nPDF uncertainty when computing NMF uncertainty, enabling Eq. (11).
Cite this review
Pith. "Pith review of Automated NLO calculations for asymmetric hadron-hadron collisions in MadGraph5_aMC@NLO." pith.science (2026). https://pith.science/paper/QUSRPBE3
@misc{pith2026250114487,
author = {Pith},
title = {Pith review of: Automated NLO calculations for asymmetric hadron-hadron collisions in MadGraph5_aMC@NLO},
year = {2026},
howpublished = {\url{https://pith.science/paper/QUSRPBE3}},
note = {Machine review of arXiv:2501.14487}
}
abstract
We have extended {\tt MadGraph5\_aMC@NLO} capabilities by implementing computations for asymmetric hadron-hadron collisions, including proton-nucleus, pion-hadron or nucleus-nucleus collisions in order to obtain a tool for automated perturbative computations of cross sections (or ratios of cross sections) in asymmetric reactions at next-to-leading (NLO) order in $\alpha_S$ in collinear factorisation. This tool, like the original symmetric version of \texttt{MadGraph5\_aMC@NLO}, automatically computes cross sections for different factorisation and renormalisation scales and PDFs provided by the {\tt LHAPDF} library, thereby allowing for an easy assessment of the associated theoretical uncertainties. In this paper, we present the validation of our code using $W$ and $Z$ boson production in $p$Pb collisions and Drell-Yan-pair production in $\pi W$ collisions. We also illustrate the capabilities of the framework by providing cross section and nuclear modification factors with their uncertainties for the production of $W$ and $Z$ bosons, charm and bottom quarks as well as associated production of $b\bar b+H^0$ in $p$Pb collisions at the LHC.
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