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arxiv: 2605.25158 · v1 · pith:EETF6ZZEnew · submitted 2026-05-24 · ✦ hep-ex

Studies of Z to 4ell decays in proton-proton collisions at sqrt{s} = 8 and 13 TeV

CMS Collaboration This is my paper

Pith reviewed 2026-06-29 23:26 UTC · model grok-4.3

classification ✦ hep-ex
keywords Z bosonfour-lepton decaysbranching fractionLHC collisionsstandard model testnew gauge bosonsasymmetriesCMS experiment
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The pith

The inclusive branching fraction for Z decays to four charged leptons is measured as 4.67 times 10 to the minus 6.

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

The paper measures how often Z bosons decay into four charged leptons using proton-proton collision data collected at two different energies. A sympathetic reader would care because this provides a high-precision test of the standard model for a rare process and checks for possible new particles. The analysis combines datasets to reach about 3 percent precision on the inclusive rate. It also reports separate rates for different lepton combinations, differential distributions, and asymmetries that could signal violations of fundamental symmetries.

Core claim

The measured value of the inclusive branching fraction for all four-lepton decay modes, B(Z to 4l), is 4.67 plus or minus 0.11 statistical plus or minus 0.10 systematic times 10 to the minus 6. Measurements of the individual branching fractions for Z to 4 muons, Z to 4 electrons, and Z to 2 muons 2 electrons are also reported. Differential decay rates are presented as functions of kinematic and angular quantities in the Z boson rest frame. Measurements of triple-product asymmetries are performed and the results are compared with standard model predictions to set limits on the production of new gauge bosons.

What carries the argument

The four-lepton final states from Z boson decays, examined through kinematic variables and triple-product asymmetries in the Z rest frame to determine branching fractions and test symmetry invariance.

If this is right

  • Individual branching fractions are determined for the 4 muon, 4 electron, and mixed 2 muon 2 electron channels.
  • Differential decay rates are extracted as functions of kinematic and angular quantities.
  • Triple-product asymmetries are measured to constrain possible charge conjugation and parity violations.
  • Limits are set on the production of new gauge bosons that could contribute to the observed decays.

Where Pith is reading between the lines

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

  • Future runs with higher integrated luminosity could tighten the uncertainty and allow smaller deviations from the standard model to be probed.
  • The combination of datasets from different collision energies improves statistical power and reduces some systematic effects.
  • These four-lepton measurements can serve as reference points for calculations of higher-order electroweak corrections.

Load-bearing premise

Background contributions are correctly subtracted and lepton identification efficiencies are accurately modeled by simulation.

What would settle it

A measured inclusive branching fraction lying well outside 4.4 to 4.9 times 10 to the minus 6, or triple-product asymmetries inconsistent with standard model expectations, would falsify the reported consistency.

Figures

Figures reproduced from arXiv: 2605.25158 by CMS Collaboration.

Figure 1
Figure 1. Figure 1: The Z → 4ℓ decay process in pp collisions. The high integrated luminosities recorded at the CERN LHC enable precise measurements of the Z → 4ℓ decay process. Previous measurements of B(Z → 4ℓ) have been made by the CMS Collaboration using proton-proton (pp) collision data collected at √ s = 7 TeV [1] and 13 TeV [2, 3], and by the ATLAS Collaboration using combined 7 and 8 TeV data sets [4] and 13 TeV data … view at source ↗
Figure 2
Figure 2. Figure 2: The Z → 4ℓ process mediated by a scalar (left) or vector (right) boson U. considered. The scalar and vector models, respectively, are described by the following addi￾tions to the SM Lagrangian L ⊃ 1 2 ∂µU∂ µU − 1 2 m 2 UU 2 + gℓ ¯ℓℓU (4) and L ⊃ 1 2 ∂µUν ∂ µU ν + 1 2 m 2 UUµU µ + gℓ ¯ℓγµ ℓU µ , (5) where mU is the mass of the U boson and gℓ (= ge , gµ ) is the strength of its couplings to leptons. The comb… view at source ↗
Figure 3
Figure 3. Figure 3: Invariant mass distributions for events passing the Z [PITH_FULL_IMAGE:figures/full_fig_p015_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: The differential Z → 4ℓ decay rate dΓZ→4ℓ/dx as a function of the quantities mZ1 (up￾per left), mZ2 (upper right), pℓ1 (lower left), and mℓ2,3,4 (lower right) defined in Section 8.2. These distributions have been unfolded and scaled to the full phase space region using the B(Z → 4ℓ) result of [PITH_FULL_IMAGE:figures/full_fig_p017_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: The differential decay rates dΓZ→4ℓ/dβ (upper), dΓZ→4ℓ/dαZ1 (middle left), dΓZ→4ℓ/dαZ2 (middle right), dΓZ→4ℓ/d cos θZ1 (lower left), and dΓZ→4ℓ/d cos θZ2 (lower right). Here, β and αZ1 have been scaled so that π radians corresponds to 1.0 on the plot. These dis￾tributions have been unfolded and scaled to the full phase space region using the B(Z → 4ℓ) result of [PITH_FULL_IMAGE:figures/full_fig_p018_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Distributions of sin ϕ for the sum of all 4ℓ channels (upper left), the 4µ channel (upper right), the 2µ2e channel (lower left), and the 4e channel (lower right). Vertical error bars repre￾sent the total uncertainty on each point. The simulations are normalized according to predicted cross sections and the integrated luminosity [PITH_FULL_IMAGE:figures/full_fig_p020_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Exclusion contours at 95% CL for a BSM boson U: (upper left) U couples only to [PITH_FULL_IMAGE:figures/full_fig_p022_7.png] view at source ↗
read the original abstract

Decays of Z bosons to four charged leptons (electrons and muons) are studied in proton-proton collisions at $\sqrt{s}$ = 8 and 13 TeV. The analysis is based on data collected with the CMS detector at the LHC corresponding to an integrated luminosity of 19.7 fb$^{-1}$ at 8 TeV and 138 fb$^{-1}$ at 13 TeV. The measured value of the inclusive branching fraction for all four-lepton decay modes, $\mathcal{B}$(Z $\to$ 4$\ell$), is [4.67 $\pm$ 0.11 (stat) $\pm$ 0.10 (syst)] $\times$ 10$^{-6}$, which has a precision of about 3% limited by both statistical and systematic uncertainties. Measurements of the individual branching fractions for the decays Z $\to$ 4$\mu$, Z $\to$ 4e, and Z $\to$ 2$\mu$2e are also reported. Differential decay rates are presented as functions of kinematic and angular quantities in the Z boson rest frame. Measurements of triple-product asymmetries, which are sensitive to possible violations of charge conjugation and parity invariance, are performed for Z $\to$ 4$\ell$ decays. The results are compared with standard model predictions and used to set limits on the production of new gauge bosons.

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

0 major / 2 minor

Summary. The paper measures Z boson decays to four charged leptons (electrons and muons) in CMS pp collision data at √s = 8 TeV (19.7 fb⁻¹) and 13 TeV (138 fb⁻¹). The central result is the inclusive branching fraction B(Z → 4ℓ) = [4.67 ± 0.11 (stat) ± 0.10 (syst)] × 10^{-6} (∼3% precision), with separate measurements of B(Z → 4μ), B(Z → 4e), and B(Z → 2μ2e). It also reports differential decay rates versus kinematic and angular variables in the Z rest frame, triple-product asymmetries testing C and P invariance, comparisons to SM predictions, and limits on new gauge bosons.

Significance. If the result holds, this constitutes a precision test of the SM for the rare Z → 4ℓ decay, achieving the quoted 3% total uncertainty that is explicitly both statistically and systematically limited. The dual-energy dataset provides useful cross-checks, and the differential distributions plus asymmetry observables add sensitivity to potential new physics beyond the inclusive rate. The measurement is normalized directly to measured luminosity with no circular parameter fitting.

minor comments (2)
  1. [Abstract] Abstract: the quoted result would benefit from an immediate parenthetical comparison to the SM prediction to allow readers to assess agreement at a glance.
  2. [Analysis method] The description of background subtraction and lepton-efficiency corrections (mentioned as key assumptions in the analysis) would be clearer if the dominant systematic sources were tabulated with their individual contributions to the 0.10 syst uncertainty.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript, the positive assessment of its significance, and the recommendation for minor revision. No major comments were raised in the report.

Circularity Check

0 steps flagged

No circularity: direct data-driven measurement

full rationale

The paper reports an experimental measurement of B(Z → 4ℓ) extracted from proton-proton collision data at 8 and 13 TeV, normalized to measured integrated luminosity. The central result is obtained via standard background subtraction and simulation-based efficiency corrections, with the quoted precision explicitly limited by both statistical and systematic uncertainties. No equations, self-citations, or ansatze reduce the reported branching fraction to a fitted parameter or prior result defined by the same data. The analysis contains no theoretical derivation chain that could exhibit self-definition, fitted-input predictions, or load-bearing self-citations.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The central claim rests on accurate luminosity determination and detector response modeling; these are domain assumptions drawn from prior CMS work rather than derived in the paper.

free parameters (2)
  • integrated luminosity at 8 TeV = 19.7 fb^{-1}
    The branching fraction extraction normalizes the observed yield to the delivered luminosity.
  • integrated luminosity at 13 TeV = 138 fb^{-1}
    The branching fraction extraction normalizes the observed yield to the delivered luminosity.
axioms (1)
  • domain assumption The CMS detector response and lepton identification efficiencies are accurately modeled by Monte Carlo simulation.
    Required to convert observed yields into branching fractions.

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discussion (0)

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Reference graph

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