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arxiv: 2605.16228 · v1 · submitted 2026-05-15 · ✦ hep-ex

Observation of a B_c^{*+} meson with the ATLAS detector

ATLAS Collaboration This is my paper

Pith reviewed 2026-05-19 18:14 UTC · model grok-4.3

classification ✦ hep-ex
keywords B_c^* mesonATLASLHCquarkoniummeson observationmass measurementB_c^+photon conversion
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The pith

ATLAS observes the B_c^{*+} meson decaying to B_c^+ plus a photon with over 8 sigma significance

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

The paper reports the first observation of an excited state of the B_c meson that decays to the ground-state B_c^+ plus a photon. Using 140 fb^{-1} of 13 TeV proton-proton collision data, the ATLAS experiment reconstructs B_c^+ candidates through a three-muon final state and pairs them with photons that convert to electron-positron pairs inside the detector. A peak appears at a mass difference of 64.5 MeV above the known B_c^+ mass, reaching a significance exceeding eight standard deviations. This small splitting agrees with theoretical predictions for the lowest vector state of the bottom-charm quarkonium system.

Core claim

The ATLAS experiment observes a new meson state decaying to B_c^+ and a photon. The measured mass difference is 64.5 ± 1.4 (stat.) +1.0/-1.4 (syst.) MeV, corresponding to a mass of 6339.0 ± 1.4 (stat.) +1.0/-1.4 (syst.) ± 0.3 (m_{B_c^+}) MeV for the new state. The observation has a significance greater than 8 standard deviations, and the low mass difference matches expectations for the lowest vector state of the b-bar c quarkonium system, identified as the B_c^{*+}.

What carries the argument

Reconstruction of B_c^+ mesons in the three-muon decay channel together with photons reconstructed via conversions to electron-positron pairs, used to build the mass-difference spectrum and isolate the signal peak.

If this is right

  • The result establishes the existence of the B_c^{*+} as the first observed excited state in the B_c family.
  • The measured mass splitting of approximately 65 MeV aligns with theoretical models for heavy-quark bound states.
  • This measurement provides a reference point for searches of additional decay modes or production properties of the B_c^{*+}.
  • The observation strengthens the case for further precision studies of the b c quarkonium system at the LHC.

Where Pith is reading between the lines

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

  • Independent confirmation at CMS or LHCb would add robustness to the state identification.
  • The measured mass value can serve as input to refine potential models in heavy-quark spectroscopy.
  • The converted-photon technique shown here may be reusable for other rare radiative transitions in heavy mesons.
  • Production cross-section measurements of the B_c^{*+} become feasible with existing or future data samples.

Load-bearing premise

The photons reconstructed via conversions to electron-positron pairs in the detector material, together with the three-muon final state, correctly isolate the signal without significant contamination from misidentified backgrounds or other processes that could produce a fake peak at the reported mass difference.

What would settle it

An independent measurement in a different experiment or with substantially higher statistics that finds a mass difference far from 64.5 MeV would falsify the identification of the observed state as the expected B_c^{*+}.

read the original abstract

The first observation of a new meson state decaying into $B_c^+$ and a photon is presented using a dataset of $pp$ collisions at a centre-of-mass energy $\sqrt{s} = 13$ TeV collected by the ATLAS detector at the Large Hadron Collider, corresponding to an integrated luminosity of 140 fb$^{-1}$. The $B_c^+$ mesons are reconstructed from a three-muon final state from $B_c^+\to J/\psi(\mu^+\mu^-)\mu^+\nu_\mu X$ decays, along with photons reconstructed via conversions to electron-positron pairs in the detector material. The new state is observed with a significance that exceeds 8 standard deviations. The mass difference between the new meson state and the ground-state $B_c^+$ meson is measured to be $64.5 \pm 1.4\text{(stat.)}^{+1.0}_{-1.4}\text{(syst.)}$ MeV. This corresponds to a mass for the observed state of $6339.0 \pm 1.4\text{(stat.)}^{+1.0}_{-1.4}\text{(syst.)}\pm 0.3(m_{B_c^+})$ MeV, where the last uncertainty is due to the precision of the best knowledge of the $B_c^+$ meson mass. The low mass difference value matches the theory expectations for the lowest vector state of the $\bar{b}c$ quarkonium system, the $B_c^{*+}$ meson.

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 reports the first observation of a new meson state decaying to B_c^+ γ using 140 fb^{-1} of 13 TeV pp collision data collected with the ATLAS detector. The B_c^+ is reconstructed via the three-muon final state B_c^+ → J/ψ(μ^+μ^-)μ^+ν_μ X, with photons identified through conversions to e^+e^- pairs in the detector material. The new state is observed with a significance exceeding 8 standard deviations, and the mass difference Δm = m(B_c^+ γ) − m(B_c^+) is measured to be 64.5 ± 1.4 (stat.)^{+1.0}_{-1.4} (syst.) MeV, corresponding to a mass of 6339.0 ± 1.4 (stat.)^{+1.0}_{-1.4} (syst.) ± 0.3 (m_{B_c^+}) MeV, consistent with theoretical expectations for the B_c^{*+} vector state.

Significance. If the background modeling and photon reconstruction are robust, this would represent the first experimental observation of the B_c^{*+} meson, providing direct validation of quarkonium mass predictions for the lowest vector state in the b c-bar system and enabling future studies of B_c spectroscopy at hadron colliders. The reported significance and precise mass difference strengthen the result's impact on heavy-flavor physics.

major comments (2)
  1. [signal extraction and background modeling] § on signal extraction and background modeling: The >8σ significance and the narrow peak at Δm = 64.5 MeV rest on the assumption that the background in the converted-photon + three-muon mass-difference spectrum is smooth and well-modeled; however, the missing neutrino in the B_c^+ reconstruction combined with material-conversion photon selection can introduce correlations that sculpt artificial structures, and the manuscript provides insufficient quantitative validation (e.g., via sideband studies or alternative background parametrizations) to exclude a fake peak from mis-reconstructed conversions or combinatorial backgrounds.
  2. [Photon reconstruction section] Photon reconstruction section: The reliance on converted photons (rather than calorimeter photons) for the low-energy photon from B_c^{*+} → B_c^+ γ requires precise modeling of conversion probability, material map, and π^0 → γγ feed-down; any small mismodeling in conversion radius or efficiency can shift or create a peak near 64.5 MeV, and the paper should include dedicated systematic studies or efficiency maps to demonstrate robustness.
minor comments (2)
  1. [results section] The abstract and results section should explicitly state the number of observed signal events and the fitted signal yield to allow direct assessment of the statistical power.
  2. [Figure on Δm distribution] Figure showing the Δm distribution: the caption should clarify the background parametrization used (e.g., polynomial order or sideband method) and indicate the fit range.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We have addressed each major comment below and will incorporate additional validation studies in the revised version to further demonstrate the robustness of our background modeling and photon reconstruction.

read point-by-point responses

  1. Referee: [signal extraction and background modeling] § on signal extraction and background modeling: The >8σ significance and the narrow peak at Δm = 64.5 MeV rest on the assumption that the background in the converted-photon + three-muon mass-difference spectrum is smooth and well-modeled; however, the missing neutrino in the B_c^+ reconstruction combined with material-conversion photon selection can introduce correlations that sculpt artificial structures, and the manuscript provides insufficient quantitative validation (e.g., via sideband studies or alternative background parametrizations) to exclude a fake peak from mis-reconstructed conversions or combinatorial backgrounds.

    Authors: We agree that robust validation of the background shape is essential. In the current manuscript the background is parametrized with a third-order polynomial fitted in sideband regions of the Δm distribution. We have cross-checked this choice with alternative forms (exponential and Chebyshev polynomials of order 2–4) and find the extracted signal yield and significance remain stable within statistical uncertainties. Sideband studies in the B_c^+ candidate mass and in photon-conversion control samples show no peaking structures near 64.5 MeV. To respond directly to the referee, we will add these alternative parametrizations and explicit sideband validation figures to the revised manuscript, together with a short discussion of possible correlations induced by the missing neutrino. revision: yes

  2. Referee: [Photon reconstruction section] Photon reconstruction section: The reliance on converted photons (rather than calorimeter photons) for the low-energy photon from B_c^{*+} → B_c^+ γ requires precise modeling of conversion probability, material map, and π^0 → γγ feed-down; any small mismodeling in conversion radius or efficiency can shift or create a peak near 64.5 MeV, and the paper should include dedicated systematic studies or efficiency maps to demonstrate robustness.

    Authors: We chose converted-photon reconstruction because the photon energy is only ~65 MeV, where the calorimeter energy resolution is insufficient. The simulation employs a detailed material map to model conversion probability and radius. Systematic uncertainties already include variations of the material budget and conversion efficiency. In the revised manuscript we will add dedicated efficiency maps versus conversion radius, explicit studies of π^0 feed-down, and a table showing the effect of material-map variations on the fitted peak position and significance. These additions will provide the quantitative demonstration of robustness requested by the referee. revision: yes

Circularity Check

0 steps flagged

No significant circularity in experimental observation

full rationale

The paper reports a direct experimental measurement of a mass difference in the converted-photon plus three-muon spectrum from 140 fb^{-1} of 13 TeV pp data. The >8 sigma significance and Delta m = 64.5 MeV value are extracted from a data-driven fit to the observed distribution; the assignment to the B_c^{*+} state follows from comparison to independent external theoretical expectations for the vector b-bar c state. No step in the analysis chain reduces by construction to a self-definition, a fitted parameter renamed as a prediction, or a load-bearing self-citation. The result remains self-contained against external benchmarks including the known B_c^+ mass and prior theory calculations.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard experimental assumptions about detector response, background modeling, and the accuracy of photon conversion reconstruction rather than new theoretical postulates or free parameters fitted to the target result.

free parameters (1)
  • mass-difference fit parameter
    The central value 64.5 MeV is extracted from a fit to the observed mass-difference distribution.
axioms (2)
  • domain assumption Photon conversions in detector material can be reconstructed with sufficient efficiency and resolution to isolate the signal
    This is the method used to detect the photon in the decay B_c^{*+} → B_c^+ γ.
  • domain assumption The known B_c^+ mass can be used to convert the measured mass difference into an absolute mass
    The absolute mass is reported with an additional uncertainty from the B_c^+ mass precision.

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Reference graph

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