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pith:NEALW464

pith:2026:NEALW464W6RUNIT427Q4MEPQO6

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Determining the Spin-Analyzing Powers via Invariants of the Spin Correlation Matrices and Probing the Bell Non-Locality at the Lepton Colliders

Dianwei Wang, Lina Wu, Liwei Liu, Tianjun Li, Xiqing Hao

The trace of the spin correlation matrix is invariant under basis rotations in two-fermion production at lepton colliders.

arxiv:2605.13250 v1 · 2026-05-13 · hep-ph · hep-ex · hep-th

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Claims

C1strongest claim

We prove that the trace Tr [C] of the spin correlation matrix C is an invariant quantity, and is invariant under basis rotations. Thus, for the exchanges of one mediator such as scalar and gauge boson, we can determine the product of the spin-analyzing powers for Fa Fb via Tr [C], and reconstruct the spin correlation matrix.

C2weakest assumption

With the assumption that the spin is defined via the Lorentz symmetry, or considering the implicit symmetry in the spin density matrix.

C3one line summary

Tr[C] is an invariant of the spin correlation matrix that determines the product of spin-analyzing powers for fermion pairs from single-mediator exchange at lepton colliders and enables Bell non-locality probes.

References

140 extracted · 140 resolved · 0 Pith anchors

[1] A LHVT with a set of local hidden variables

[2] Special relativity and Poincar´ e-invariance hold

[3] The decays ofF a andF b are independent of each other. 3

[4] And thus the spins play the role of hidden variables

[5] With these assumptions, we can obtain the same rela- tions as given in Eq

Cited by

1 paper in Pith

Controlling Quantum discord and steering in Electron-Positron Annihilation Using Polarized Beams

Receipt and verification

First computed	2026-05-18T02:44:49.435986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6900bb73dcb7a346a27cd7e1c611f077861fcc921b583eb60ba36085a7ef6cf4

Aliases

arxiv: 2605.13250 · arxiv_version: 2605.13250v1 · doi: 10.48550/arxiv.2605.13250 · pith_short_12: NEALW464W6RU · pith_short_16: NEALW464W6RUNIT4 · pith_short_8: NEALW464

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/NEALW464W6RUNIT427Q4MEPQO6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6900bb73dcb7a346a27cd7e1c611f077861fcc921b583eb60ba36085a7ef6cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f95d1acb10a79d6f1bcfb2b8f7fbaf691c525047e48789057bb0b9e479a67cb",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-13T09:34:03Z",
    "title_canon_sha256": "19a656043bf64af655fa889aa1c1299114be08af808e1f57a536410a50196448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13250",
    "kind": "arxiv",
    "version": 1
  }
}