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<p>We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the naive time-reversal-odd Boer-Mulders function, of the nucleon, using large-momentum effective theory (LaMET). The calculation is carried out on an ensemble with lattice spacing <i>a</i> = 0.098 fm and pion mass 338 MeV, at various proton momenta up to 2.11 GeV. We have implemented perturbative matching up to the next-to-next-to-leading order together with a renormalization-group resummation improvement. The result exhibits the expected decay behavior with increasing transverse separation <i>b</i><sub>⊥</sub>. We also compare the results in the nucleon and pion.</p>

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Quark transverse spin-momentum correlation of the nucleon from lattice QCD: the Boer-Mulders function

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月12日

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  • Lingquan Ma,
  • Jun Hua,
  • Andreas Schäfer,
  • Hai-Tao Shu,
  • Yushan Su,
  • Peng Sun,
  • Lisa Walter,
  • Wei Wang,
  • Xiaonu Xiong,
  • Yi-Bo Yang,
  • Jian-Hui Zhang,
  • Qi-An Zhang

摘要

We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the naive time-reversal-odd Boer-Mulders function, of the nucleon, using large-momentum effective theory (LaMET). The calculation is carried out on an ensemble with lattice spacing a = 0.098 fm and pion mass 338 MeV, at various proton momenta up to 2.11 GeV. We have implemented perturbative matching up to the next-to-next-to-leading order together with a renormalization-group resummation improvement. The result exhibits the expected decay behavior with increasing transverse separation b⊥. We also compare the results in the nucleon and pion.