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<p>We present a comprehensive theoretical study of spin correlations in <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="normal">Λ</mi> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \Lambda \overline{\Lambda} \)</EquationSource> </InlineEquation> production from <i>e</i><sup>+</sup><i>e</i><sup>−</sup> annihilation, providing the theoretical predictions for the Belle II experiment. Using soft-collinear effective theory, we perform the first resummation of large logarithms for the longitudinal (<i>C</i><sub><i>LL</i></sub>) and transverse (<i>C</i><sub><i>TT</i></sub>) spin correlations for events with a cut on the thrust variable. Our calculation achieves next-to-next-to-leading logarithmic accuracy and incorporates the determination of polarized fragmenting jet functions. This framework provides robust predictions with significantly reduced theoretical uncertainties compared to fixed-order parton model approaches. Furthermore, we establish a direct mapping between the experimentally accessible spin correlation, <i>C</i><sub><i>TT</i></sub>, and a testable CHSH-Bell inequality. This result reframes <i>C</i><sub><i>TT</i></sub> as a quantitative probe of quantum decoherence, providing a novel tool to measure the degree of parton-level entanglement that survives the fragmentation and hadronization process.</p>

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Spin correlations and Bell nonlocality in \( \Lambda \overline{\Lambda} \) pair production from e+e− collisions with a thrust cut

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月14日

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  • Shi-Jia Lin,
  • Ming-Jun Liu,
  • Ding Yu Shao,
  • Shu-Yi Wei

摘要

We present a comprehensive theoretical study of spin correlations in Λ Λ ¯ \( \Lambda \overline{\Lambda} \) production from e+e− annihilation, providing the theoretical predictions for the Belle II experiment. Using soft-collinear effective theory, we perform the first resummation of large logarithms for the longitudinal (CLL) and transverse (CTT) spin correlations for events with a cut on the thrust variable. Our calculation achieves next-to-next-to-leading logarithmic accuracy and incorporates the determination of polarized fragmenting jet functions. This framework provides robust predictions with significantly reduced theoretical uncertainties compared to fixed-order parton model approaches. Furthermore, we establish a direct mapping between the experimentally accessible spin correlation, CTT, and a testable CHSH-Bell inequality. This result reframes CTT as a quantitative probe of quantum decoherence, providing a novel tool to measure the degree of parton-level entanglement that survives the fragmentation and hadronization process.