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Transverse-Momentum-Dependent Wave Functions of Pion from Lattice QCD

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arxiv 2302.09961 v1 pith:3A5UYIRX submitted 2023-02-20 hep-lat hep-ph

Min-Huan Chu , Jin-Chen He , Jun Hua , Jian Liang , Xiangdong Ji , Andreas Schafer , Hai-Tao Shu , Yushan Su
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Ji-Hao Wang Wei Wang Yi-Bo Yang Jun Zeng Jian-Hui Zhang Qi-An Zhang
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classification hep-lathep-ph
keywords latticefirsttmdwfsactioncalculationcollaborationfunctionspion
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a first lattice QCD calculation of the transverse-momentum-dependent wave functions (TMDWFs) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved staggered quarks action with lattice spacing $a=0.121$~fm from the MILC Collaboration, and one with 2 +1 flavor clover fermions and tree-level Symanzik gauge action generated by the CLS Collaboration with $a=0.098$~fm. As a key ingredient, the soft function is first obtained by incorporating the one-loop perturbative contributions and a proper normalization. Based on this and the equal-time quasi-TMDWFs simulated on the lattice, we extract the light-cone TMDWFs. The results are comparable between the two lattice ensembles and a comparison with phenomenological parametrization is made. Our studies provide a first attempt of $ab$ $initio$ calculation of TMDWFs which will eventually lead to crucial theory inputs for making predictions for exclusive processes under QCD factorization.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Connecting baryon light-front wave functions to quasi-transverse-momentum-dependent correlators in lattice QCD

    hep-ph 2026-03 conditional novelty 7.0 of 10

    A perturbative proof that baryon three-quark light-front wave functions can be extracted from a quasi-transverse-momentum-dependent lattice correlator, with all NLO divergences canceled by a soft factor.

  2. Unpolarized gluon PDF of the nucleon from lattice QCD at physical point in the continuum limit

    hep-lat 2025-10 conditional novelty 6.0 of 10

    A lattice QCD extraction of the nucleon gluon PDF using three lattice spacings, hybrid renormalization and NLO matching, extrapolated to the continuum and infinite-momentum limits, agrees with global fits while remain...

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

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.

  4. Investigate the glueball-like particle $X(2370)$ in $B$ meson decays

    hep-ph 2025-01 conditional novelty 4.0 of 10

    Predictions for B to X(2370) branching fractions, around 10^-6 semileptonic and 10^-8 nonleptonic, suggest the glueball candidate is within Belle-II's reach.

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