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Quark Transverse Spin-Momentum Correlation of the Nucleon from Lattice QCD: The Boer-Mulders Function

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arxiv 2502.11807 v1 pith:NM2BC63D submitted 2025-02-17 hep-lat hep-ph

Quark Transverse Spin-Momentum Correlation of the Nucleon from Lattice QCD: The Boer-Mulders Function

Lingquan Ma , Jun Hua , Andreas Sch\"afer , Hai-Tao Shu , Yushan Su , Peng Sun , Lisa Walter , Wei Wang
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Xiaonu Xiong Yi-Bo Yang Jian-Hui Zhang Qi-An Zhang
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classification hep-lat hep-ph
keywords latticenucleontransverseboer-mulderscalculationcorrelationfunctionpion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 a decay behavior with increasing transverse separation $b_\perp$. We also compare the results in the nucleon and pion.

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