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The ALICE experiment reports the first measurement of B0-meson production in proton-proton collisions at 13.6 TeV at midrapidity down to pT = 1 GeV/c, and the measured spectrum agrees with all considered perturbative QCD predictions within

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The B0 production cross section in pp collisions at 13.6 TeV is measured at midrapidity down to pT = 1 GeV/c and agrees with pQCD calculations within uncertainties.

T0 review reviewed 2026-08-05 challenge →

load-bearing objection First B0 measurement at low pT at midrapidity is a real step forward, but the printed branching-ratio product is off by two orders of magnitude and must be fixed before the paper is usable. the 3 major comments →

arxiv 2509.00458 v1 pith:BHNKBU3U submitted 2025-08-30 hep-ex nucl-ex

Testing perturbative QCD calculations with beauty-meson production in proton-proton collisions with ALICE

Fabrizio Chinu (for the ALICE Collaboration) This is my paper
classification hep-ex nucl-ex
keywords B0 mesonbeauty productionproton-proton collisionsperturbative QCDFONLLkt-factorisationALICElow pT
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The reading

This contribution reports the first measurement of B0-meson production in proton–proton collisions at 13.6 TeV, reaching midrapidity (|y| < 0.5) down to pT = 1 GeV/c at LHC energies. The B0 mesons are reconstructed via their decays into a D meson and a pion, and the pT-differential cross section is compared with FONLL, two GM-VFNS variants, kT-factorisation, and the TAMU hadronisation model. All comparisons agree within uncertainties. The paper also builds a midrapidity-to-forward-rapidity ratio using LHCb's B+ measurement, which FONLL reproduces and which resembles the D0 ratio, and estimates the b-bbar cross section per unit rapidity from the measured spectrum; that estimate follows the energy trend and matches NNLO predictions. A reader should care because this is the first direct low-pT beauty measurement at midrapidity at LHC energies, providing a baseline that perturbative QCD predictions had not yet been tested against in this kinematic corner.

Core claim

The central claim is that the B0 production cross section in pp collisions at sqrt(s) = 13.6 TeV has been measured for the first time at midrapidity down to pT = 1 GeV/c, and that the measured pT-differential cross section is consistent, within uncertainties, with all considered theoretical predictions: FONLL, GM-VFNS in two variants, kT-factorisation, and the TAMU model. A secondary claim is that the ratio of the midrapidity B0 cross section to the forward-rapidity B+ cross section measured by LHCb is well described by FONLL and shows the same trend as the corresponding D0 ratio, suggesting that the mass and rapidity dependence of heavy-flavour hadron production factorise. A third claim is

What carries the argument

The measurement is carried out by fully reconstructing B0 mesons in the decay chain B0 -> D- pi+ with D- -> pi- K+ pi-, fitting the invariant-mass distribution in pT bins to extract raw yields, and correcting for acceptance, efficiency, branching ratio, and integrated luminosity (about 43 pb-1). The central instrument of the argument is the pT-differential cross-section spectrum at |y| < 0.5; from it the paper derives two comparisons: a direct comparison of the spectrum to four independent theoretical schemes, and an indirect comparison of a rapidity ratio formed with LHCb's B+ data. The total b-bbar cross-section estimate uses the same spectrum integrated and extrapolated with FONLL, and is

Load-bearing premise

The estimate of the total b-bbar cross section depends on FONLL to fill in the pT regions that ALICE did not measure, and the same FONLL calculation is then used to test that estimate, making the agreement partially circular.

What would settle it

A future measurement that covers pT below 1 GeV/c at midrapidity and obtains a b-bbar cross section without a FONLL extrapolation, or a B0 measurement using an independent decay channel that disagrees with the reported spectrum by more than the quoted uncertainties, would settle whether the agreement with the pQCD calculations is real.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

If this is right

  • The new pp spectrum provides a direct, low-pT baseline for future Pb-Pb studies of beauty-quark energy loss and hadronisation in the quark-gluon plasma.
  • If the factorisation of rapidity and mass dependence suggested by the B0 and D0 ratios holds, it can simplify the global modelling of heavy-flavour hadron production.
  • The b-bbar cross-section estimate at 13.6 TeV tightens the energy-scaling trend and gives a new point for global QCD fits of bottom production.
  • The consistent agreement with several theoretical schemes implies that current uncertainties in those schemes, or in the measurement, are still too large to single out a preferred prediction at low pT.
  • The measured B0 yields can be combined with other beauty-hadron measurements to extract fragmentation fractions, testing hadronisation models.

Where Pith is reading between the lines

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

  • With a larger Run 3 dataset, the same method could measure B0 production down to even lower pT and in finer bins, testing the low-pT rise predicted by FONLL.
  • The mid/forward ratio method could be repeated for other beauty species (B+, B_s, Lambda_b) to see whether the apparent rapidity-mass factorisation is universal.
  • If the extracted b-bbar cross section continues to match NNLO at higher energies, the FONLL extrapolation procedure could serve as a practical estimator for future pp and pA reference measurements.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. This proceedings contribution reports the first measurement of the B0-meson production cross section in pp collisions at sqrt(s)=13.6 TeV at midrapidity (|y|<0.5) in the pT range 1–23.5 GeV/c, using ALICE Run 3 data. The measured pT-differential cross section is compared with FONLL, GM-VFNS (two variants), kT-factorisation, and TAMU predictions, and the paper states that all are consistent within uncertainties. The paper also derives an estimated b-bbar production cross section per unit rapidity by integrating the measured spectrum and applying a FONLL-based extrapolation factor, and compares it to FONLL and NNLO predictions. A rapidity-dependence ratio versus LHCb B+ data and comparisons with D0 measurements are also presented.

Significance. If correct, this result is significant: it is the first direct open-beauty meson cross-section measurement at midrapidity down to pT = 1 GeV/c at LHC energies, a kinematic region where fixed-order pQCD calculations and TAMU hadronisation-model predictions can be sharply tested. The comparison to multiple pQCD approaches is valuable, and the low-pT reach can improve constraints on the total b-bbar production cross section at 13.6 TeV. The measurement is a direct experimental result, so the circularity burden is low for the main pT-differential spectrum. However, the quantitative claims rest on a branching-fraction normalization that is misreported in the text, and no numeric cross-section values or uncertainty breakdown are given, so the agreement claim cannot currently be verified from this contribution alone.

major comments (3)
  1. [Section 2, after Eq. (BR) (text: 'branching ratio BR = ... = (2.35 ± 0.08) · 10^-6 [10]')] This branching-fraction product is numerically wrong by a factor of about 100. PDG gives BR(B0→D−π+) ≈ 2.35×10^-3 and BR(D−→K+π−π−) ≈ 9.4×10^-2, whose product is ≈ 2.2×10^-4, not (2.35±0.08)×10^-6. The printed value and uncertainty match the B0→D−π+ branching fraction alone with an incorrect exponent. Since BR enters in the denominator of the cross-section formula, using the printed 10^-6 value would inflate all plotted cross sections by a factor ~100, contradicting the stated agreement with FONLL. If a correct BR was used in the analysis, the manuscript still misreports the normalization and the result is unreproducible. This is a load-bearing normalization error, and the paper provides no numeric cross-section table to resolve the ambiguity. The text must be corrected and a table of numeric cross sections and uncertainties must be included.
  2. [Section 2, paragraph 'The bb production cross section at midrapidity...'] The b-bbar cross section is estimated by integrating only the measured 1 < pT < 23.5 GeV/c interval and then applying 'an extrapolation factor obtained from FONLL predictions [5]'. This factor depends on the very pQCD calculation that the paper is testing, and the resulting estimate is then compared with FONLL and NNLO. This is partially circular and the manuscript does not state the size of the extrapolation factor or what fraction of the total cross section lies in the unmeasured pT ranges. The authors should quantify the extrapolation (e.g., the fraction of the FONLL-integrated cross section outside the measured interval), report the factor's uncertainty, and clearly separate this model-dependent estimate from the direct measurement when drawing conclusions.
  3. [Section 2, Fig. 1 and surrounding text] The central claim that the measurement is 'consistent with all considered theoretical predictions within uncertainties' is not quantitatively supported in this contribution. No numeric values, uncertainty bars, chi2, or p-values are given; the agreement is only visual. Given the BR normalization issue and the absence of a table, a reader cannot independently verify the central claim. The proceedings should include a table of the measured cross sections with statistical and systematic uncertainties, and specify how the uncertainties of the theory predictions are treated in the comparison.
minor comments (4)
  1. [Section header: 'Measurement ... at sqrt(s) = 13 TeV'] The section title says 13 TeV while the text and abstract consistently say sqrt(s)=13.6 TeV. Please correct the title.
  2. [Fig. 2 caption] The caption says 'The data points are compared to FONLL calculations [5] in the first row and to the same ratio measured for D0 mesons ... in the second row.' This is fine, but the two rapidity intervals in rows are not explicitly labelled in the caption; adding them would improve readability.
  3. [References [4] and [18]] The preliminary ALICE summary [4] is cited as the source of the measurement; since the proceedings contains no detailed systematic uncertainty description, the reader should be pointed more explicitly to that document for the full uncertainty treatment. Also, HFLAV [18] is cited for fragmentation fractions; consider giving the specific average used for f(b→B0).
  4. [Introduction, paragraph 1] The phrase 'the production of open beauty hadrons down to low pT at midrapidity was never directly measured' is slightly too strong: LHCb and CMS measurements exist at forward and high-pT midrapidity, but the low-pT midrapidity gap is correct. Consider rewording to 'never directly measured at low pT and midrapidity' for precision.

Circularity Check

1 steps flagged

Primary B0 cross-section measurement is independent; derived b-bbar cross-section is partially circular via FONLL extrapolation.

specific steps
  1. other [Section 2, paragraph beginning 'The bb production cross section at midrapidity...' (Figure 3 discussion)]
    "The B 0 production cross section can in turn be obtained by integrating the pT-differential production cross section measured in the 1 < pT < 23.5 GeV/c range and by applying an extrapolation factor obtained from FONLL predictions [5]. Predictions at NNLO precision [17] are available for the bb production cross section, and are consistent with the measured value."

    The inferred b-bbar cross section is not a pure measurement: the integral of the measured pT-differential spectrum is supplemented by an extrapolation factor taken from FONLL. The same FONLL calculation is then used as a benchmark to which this 'measured value' is compared, and the NNLO comparison also inherits the FONLL extrapolation. Agreement with FONLL is therefore partly built in for the unmeasured pT regions, making the comparison partially circular. The primary pT-differential B0 measurement itself is independent of the models.

full rationale

The paper's central result—the pT-differential B0 production cross section at |y|<0.5 down to pT=1 GeV/c at 13.6 TeV—is a direct measurement. It is corrected for acceptance, efficiency, branching ratio and luminosity, with no pQCD theory input in the raw-yield extraction; the comparisons with FONLL, GM-VFNS, kT-factorisation and TAMU are external benchmarks. The only circularity is in the derived b-bbar production cross section: the integral of the measured pT distribution is multiplied by an extrapolation factor obtained from FONLL, and the resulting estimate is then compared with FONLL (and NNLO). Agreement with FONLL is therefore partly forced by construction for the unmeasured pT regions, although the measured mid-pT data provide independent content. This affects a secondary result, not the headline differential measurement. No load-bearing self-citation is present; the preliminary note [4] is the standard way to reference the collaboration's own measurement. Separately, the printed branching-ratio product BR(B0→D−π+)·BR(D−→K+π−π−) = (2.35±0.08)·10^-6 is numerically implausible (the true product is ~2×10^-4), which is a normalization/reproducibility concern, not a circularity; it does not change the circularity score.

Axiom & Free-Parameter Ledger

0 free parameters · 5 axioms · 0 invented entities

The paper introduces no free parameters and no new entities. It relies on standard QCD factorization, external constants (branching ratio, luminosity), and a FONLL-based extrapolation for the derived bb cross section. The latter is the most theory-dependent input and is partially circular for the bb comparison.

axioms (5)
  • domain assumption The factorization theorem of QCD holds for heavy-flavour hadroproduction, allowing the calculation and comparison of cross sections using pQCD predictions.
    Invoked throughout the paper as the basis for comparing measured B0 cross sections with FONLL, GM-VFNS, and kt-factorisation calculations.
  • domain assumption The extrapolation factor obtained from FONLL predictions accurately describes the unmeasured pT regions (below 1 GeV/c and above 23.5 GeV/c) of the B0 cross section.
    Explicitly used in Section 2 to estimate the total bb cross section; if inaccurate, the derived bb cross section is biased.
  • domain assumption The branching ratio BR(B0 -> D- pi+) x BR(D- -> pi- K+ pi-) = (2.35 +/- 0.08) x 10^-6 from PDG is correct.
    The cross section normalization depends directly on this external input, as stated in Section 2.
  • domain assumption The integrated luminosity Lint = (43 +/- 4) pb^-1 is known from LHC calibrations.
    Used to convert yields to cross sections; any error in luminosity directly scales the measurement.
  • domain assumption The detector acceptance and efficiency corrections from Monte Carlo simulations are accurate and do not introduce a large bias.
    The yields are corrected using simulation, a standard but model-dependent step in all such measurements.

reviewed 2026-08-05 · how reviews work

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Cite this review

Pith. "Pith review of Testing perturbative QCD calculations with beauty-meson production in proton-proton collisions with ALICE." pith.science (2026). https://pith.science/paper/BHNKBU3U

@misc{pith2026250900458,
  author       = {Pith},
  title        = {Pith review of: Testing perturbative QCD calculations with beauty-meson production in proton-proton collisions with ALICE},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BHNKBU3U}},
  note         = {Machine review of arXiv:2509.00458}
}
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abstract

Measurements of the production cross section of beauty hadrons in proton-proton (pp) collisions provide excellent tests of perturbative quantum chromodynamics (pQCD) calculations. Theoretical approaches based on the factorisation theorem allow for the calculation of differential cross sections for hadron production as functions of transverse momentum ($p_{\mathrm{T}}$) and rapidity ($y$). Measurements down to low transverse momenta are also fundamental ingredients for the estimation of the $\mathrm{b\overline{b}}$ production cross section. In this contribution, the measurement of $\mathrm{B^{0}}$-meson production in pp collisions at $\sqrt{s}=13.6$ TeV collected by the ALICE experiment during LHC Run 3 is presented. The $\mathrm{B^{0}}$ mesons are fully reconstructed via their decay channels into a D meson and a charged pion. The measured production cross section is compared with state-of-the-art pQCD calculations with next-to-leading order accuracy plus all-order resummation of next-to-leading logarithms.

Figures

Figures reproduced from arXiv: 2509.00458 by Fabrizio Chinu (for the ALICE Collaboration).

Figure 1
Figure 1. Figure 1: pT-differential production cross section of B0 mesons measured in pp collisions at √ s = 13.6 TeV compared with FONLL [5], GM-VFNS(mod-µR,F) [6], GM-VFNS(SACOT-mT) [7], kT-factorisation [8], and TAMU [9] calculations (left panel) and ratios of the data to the theoretical predictions (right panel). The production cross section of B0 mesons is measured in the rapidity range |y| < 0.5 and the 1 < pT < 23.5 Ge… view at source ↗
Figure 2
Figure 2. Figure 2: Ratios of pT-differential production cross sections per unit of rapidity of B0 mesons at midra￾pidity in pp collisions at √ s = 13.6 TeV to those measured by the LHCb Collaboration [1] for B+ mesons in pp collisions at √ s = 13 TeV in three intervals of rapidity. The data points are compared to FONLL calculations [5] in the first row and to the same ratio measured for D0 mesons in pp collisions at √ s = 13… view at source ↗

discussion (0)

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This paper was first reviewed by deepseek-v4-flash on August 5, 2026.