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arxiv: 2604.16218 · v1 · submitted 2026-04-17 · ✦ hep-ph · hep-ex· quant-ph

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Quantum Tomography and Entanglement in Semi-Leptonic hto VV^* Decays at Higher Orders

Dorival Gon\c{c}alves , Ajay Kaladharan , Alberto Navarro
Authors on Pith no claims yet

Pith reviewed 2026-05-10 08:12 UTC · model grok-4.3

classification ✦ hep-ph hep-exquant-ph
keywords Higgs decayssemi-leptonicquantum tomographyentanglementNLO correctionsangular correlationsdensity matrixvector bosons
0
0 comments X

The pith

Semi-leptonic Higgs decays retain an effective two-qutrit description for quantum tomography despite higher-order corrections and quark masses.

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

The paper examines angular distributions and quantum observables in semi-leptonic Higgs decays to pairs of electroweak gauge bosons, incorporating finite fermion masses together with NLO QCD and electroweak corrections. It establishes that mass effects can push the system outside a two-qutrit picture in broad kinematic ranges, yet suitable selections restore the description. QCD corrections shift observables at the percent level while electroweak corrections produce larger changes, especially in ZZ* channels, but the reconstructed density matrix and entanglement measures stay consistent with an effective two-qutrit state. A reader would care because this shows that collider measurements of Higgs quantum information remain feasible once realistic higher-order effects are included.

Core claim

In the semi-leptonic modes h to VV* to ell+ ell- q q-bar and ell nu q q-prime, finite final-state quark masses induce effects that go beyond the two-qutrit description in inclusive regimes. These effects remain controllable with appropriate kinematic selections. NLO QCD corrections produce modest percent-level shifts in the angular observables, whereas NLO electroweak corrections can significantly modify the angular structure, particularly for h to ZZ* channels. After these corrections are included, the reconstructed density matrix and the derived entanglement measures continue to support an effective two-qutrit description of the system.

What carries the argument

The density matrix reconstructed from the angular correlations of the two vector bosons, treated as qutrits, whose eigenvalues and off-diagonal elements yield the entanglement measures.

If this is right

  • Quantum tomography and entanglement measures can be applied to semi-leptonic Higgs channels once NLO corrections and mass effects are accounted for.
  • Kinematic cuts provide a practical handle to maintain the two-qutrit framework in experimental analyses.
  • Angular observables in these channels remain usable both for new-physics searches and for quantum-information extraction.
  • Electroweak corrections must be included for precision studies of ZZ* channels, while QCD corrections remain small.

Where Pith is reading between the lines

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

  • LHC analyses could adopt the suggested kinematic selections to extract entanglement from existing semi-leptonic Higgs data samples.
  • The robustness of the two-qutrit picture suggests similar higher-order studies could be performed for other vector-boson pair processes at colliders.
  • Future work might test whether the same conclusion holds when parton-shower and hadronization effects are added to the NLO predictions.
  • Optimized cuts derived here could be validated directly in full detector simulations before being used in real data.

Load-bearing premise

That suitable kinematic selections can suppress the effects of finite final-state quark masses enough to keep the decay system inside an effective two-qutrit description.

What would settle it

A calculation or measurement, after the recommended kinematic selections, that yields a reconstructed density matrix with eigenvalues or off-diagonal elements incompatible with a two-qutrit state, such as a trace-norm deviation exceeding a few percent from the expected two-qutrit form.

read the original abstract

Angular correlations in Higgs decays to electroweak gauge bosons, $h \to ZZ^*, WW^*$, provide a powerful probe of both new physics effects and quantum information observables. We present a systematic study of semi-leptonic decays $h \to V V^* \to \ell^+\ell^- q\bar{q}$ and $\ell^\pm \nu_\ell q\bar{q}'$, including finite final state fermion masses, NLO QCD, and NLO electroweak corrections. We show that finite final state quark masses can induce effects that go beyond the two-qutrit description in more inclusive regimes, while remaining controllable with suitable kinematic selections. QCD corrections lead to modest percent-level shifts, whereas electroweak corrections can significantly modify the angular structure, particularly in the $h\to ZZ^*$ channels. We assess the impact of these effects on the reconstructed density matrix and entanglement measures, finding that, while they modify the angular observables, semi-leptonic channels retain an effective two-qutrit description.

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 manuscript performs a systematic calculation of angular observables in semi-leptonic Higgs decays h → VV* (V = W, Z) to ℓℓqq and ℓνqq final states. It incorporates finite final-state fermion masses, NLO QCD corrections, and NLO electroweak corrections, then reconstructs the density matrix and evaluates entanglement measures. The central claim is that finite-mass effects can push the system beyond a two-qutrit description in inclusive regimes but are controllable via kinematic selections, while higher-order corrections modify but do not invalidate the effective two-qutrit structure.

Significance. If the central claim holds, the work meaningfully extends quantum-information analyses of Higgs decays to experimentally relevant semi-leptonic channels. The explicit inclusion of NLO QCD and EW corrections together with mass effects, and the demonstration that kinematic cuts preserve the two-qutrit picture, supplies a concrete bridge between perturbative calculations and quantum tomography observables. This is a clear strength for future LHC analyses.

minor comments (2)
  1. The abstract and results sections would be strengthened by the addition of at least one table or figure that explicitly lists the reconstructed density-matrix elements (or their deviations from the two-qutrit form) before and after each class of correction, together with numerical error estimates.
  2. The specific kinematic selection criteria used to suppress finite-mass deviations should be stated quantitatively (e.g., explicit pT or invariant-mass cuts) rather than described only qualitatively.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive summary of our work and the recommendation for minor revision. The referee's description accurately reflects our systematic inclusion of finite fermion masses, NLO QCD, and NLO electroweak corrections in semi-leptonic h → VV* decays, along with the assessment that the effective two-qutrit structure remains valid under appropriate kinematic selections. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper derives its central claims—that finite quark masses can push beyond two-qutrit structure but are controllable via kinematic cuts, and that NLO QCD/EW corrections modify angular observables while preserving an effective two-qutrit description—from explicit perturbative matrix-element calculations and density-matrix reconstruction. No parameters are fitted to data and then relabeled as predictions, no self-citations supply load-bearing uniqueness theorems, and no ansatz is smuggled in; the results follow directly from the stated higher-order computations without reduction to the inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard perturbative expansions in the Standard Model and the assumption that kinematic cuts can isolate an effective two-qutrit subspace; no new free parameters or invented entities are introduced in the abstract.

axioms (2)
  • standard math Validity of NLO perturbative QCD and electroweak calculations for the decay amplitudes
    Invoked to compute the corrections to angular distributions.
  • domain assumption Controllability of beyond-two-qutrit effects via kinematic selections
    Stated as remaining controllable with suitable cuts.

pith-pipeline@v0.9.0 · 5489 in / 1317 out tokens · 47038 ms · 2026-05-10T08:12:42.750891+00:00 · methodology

discussion (0)

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Reference graph

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