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

Fuente: arXiv
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Autori principali: Ma, Lingquan, Hua, Jun, Schäfer, Andreas, Shu, Hai-Tao, Su, Yushan, Sun, Peng, Walter, Lisa, Wang, Wei, Xiong, Xiaonu, Yang, Yi-Bo, Zhang, Jian-Hui, Zhang, Qi-An
Natura: Preprint
Pubblicazione: 2025
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author Ma, Lingquan
Hua, Jun
Schäfer, Andreas
Shu, Hai-Tao
Su, Yushan
Sun, Peng
Walter, Lisa
Wang, Wei
Xiong, Xiaonu
Yang, Yi-Bo
Zhang, Jian-Hui
Zhang, Qi-An
author_facet Ma, Lingquan
Hua, Jun
Schäfer, Andreas
Shu, Hai-Tao
Su, Yushan
Sun, Peng
Walter, Lisa
Wang, Wei
Xiong, Xiaonu
Yang, Yi-Bo
Zhang, Jian-Hui
Zhang, Qi-An
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11807
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quark Transverse Spin-Momentum Correlation of the Nucleon from Lattice QCD: The Boer-Mulders Function
Ma, Lingquan
Hua, Jun
Schäfer, Andreas
Shu, Hai-Tao
Su, Yushan
Sun, Peng
Walter, Lisa
Wang, Wei
Xiong, Xiaonu
Yang, Yi-Bo
Zhang, Jian-Hui
Zhang, Qi-An
High Energy Physics - Lattice
High Energy Physics - Phenomenology
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.
title Quark Transverse Spin-Momentum Correlation of the Nucleon from Lattice QCD: The Boer-Mulders Function
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2502.11807