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Matching Quasi Generalized Parton Distributions in the RI/MOM scheme

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arxiv 1902.00307 v2 pith:X4L753WY submitted 2019-02-01 hep-ph hep-lat

Yu-Sheng Liu , Wei Wang , Ji Xu , Qi-An Zhang , Jian-Hui Zhang , Shuai Zhao , Yong Zhao This is my paper · ORCID
classification hep-phhep-lat
keywords matchinggpdsmomentumschemedistributionslametlatticeparton
verification ladder T0 review T1 audit T2 compute T3 formal

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Within the framework of large momentum effective theory (LaMET), genenaralized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are suppressed by the hadron momentum. In this paper, we focus on isovector quark GPDs, including the unpolarized, longitudinally and transversely polarized cases, and present the one-loop matching that connects the quasi-GPDs renormalized in a regularization-independent momentum subtraction (RI/MOM) scheme to the GPDs in MS scheme. We find that the matching coefficient is independent of the momentum transfer squared. As a consequence, the matching for the quasi-GPD with zero skewness is the same as that for the quasi-PDF. Our results provide a crucial input for the determination of quark GPDs from lattice QCD using LaMET.

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Cited by 6 Pith papers

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

  1. Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.

  2. Factorization Formula Connecting the Shape Functions of Heavy Meson in QCD and Heavy Quark Effective Theory

    hep-ph 2025-04 conditional novelty 6.0 of 10

    The QCD B-meson shape function in the endpoint region equals the HQET shape function multiplied by a perturbative matching coefficient whose one-loop form is derived in this paper.

  3. Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET

    hep-lat 2025-06 conditional novelty 5.0 of 10

    Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...

  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.

  5. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

  6. Hadron structure via Generalized Parton Distributions

    hep-lat 2025-02 unverdicted

    A proceedings review of lattice QCD calculations that extract x-dependent generalized parton distributions via the quasi-distribution approach, including recent asymmetric-frame results.

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