Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation
Abstract In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), H ~ x ξ t $$ \overset{\sim }{H}\left(x,\xi, t\right) $$ , at zero skewness, ξ, with multiple values of the momentum transfer, t. Our analysis employs t...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)146 |
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| author | Shohini Bhattacharya Krzysztof Cichy Martha Constantinou Xiang Gao Andreas Metz Joshua Miller Swagato Mukherjee Peter Petreczky Fernanda Steffens Yong Zhao |
| author_facet | Shohini Bhattacharya Krzysztof Cichy Martha Constantinou Xiang Gao Andreas Metz Joshua Miller Swagato Mukherjee Peter Petreczky Fernanda Steffens Yong Zhao |
| author_sort | Shohini Bhattacharya |
| collection | DOAJ |
| description | Abstract In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), H ~ x ξ t $$ \overset{\sim }{H}\left(x,\xi, t\right) $$ , at zero skewness, ξ, with multiple values of the momentum transfer, t. Our analysis employs the short-distance factorization framework on ratio-scheme renormalized quasi-GPD matrix elements. The calculations are based on an N f = 2 + 1 + 1 twisted mass fermions ensemble with clover improvement, a lattice spacing of a = 0.093 fm, and a pion mass of m π = 260 MeV. We consider both the iso-vector and iso-scalar cases, utilizing next-to-leading-order perturbative matching while omitting the disconnected contributions and gluon mixing in the iso-scalar case. For the first time, we determine the Mellin moments of H ~ $$ \overset{\sim }{H} $$ up to the fifth order. From these moments, we discuss the quark helicity and orbital angular momentum contributions to the nucleon spin, as well as the spin-orbit correlations of the quarks. Additionally, we perform a Fourier transform over the momentum transfer, which allows us to explore the spin structure in the impact-parameter space. |
| format | Article |
| id | doaj-art-8ed5859ad2e2400b892b73f0c593e795 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8ed5859ad2e2400b892b73f0c593e7952025-02-09T12:07:54ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112910.1007/JHEP01(2025)146Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlationShohini Bhattacharya0Krzysztof Cichy1Martha Constantinou2Xiang Gao3Andreas Metz4Joshua Miller5Swagato Mukherjee6Peter Petreczky7Fernanda Steffens8Yong Zhao9Theoretical Division, Los Alamos National LaboratoryFaculty of Physics and Astronomy, Adam Mickiewicz UniversityDepartment of Physics, Temple UniversityPhysics Department, Brookhaven National LaboratoryDepartment of Physics, Temple UniversityDepartment of Physics, Temple UniversityPhysics Department, Brookhaven National LaboratoryPhysics Department, Brookhaven National LaboratoryInstitut für Strahlen- und Kernphysik, Rheinische Friedrich-Wilhelms-Universität BonnPhysics Division, Argonne National LaboratoryAbstract In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), H ~ x ξ t $$ \overset{\sim }{H}\left(x,\xi, t\right) $$ , at zero skewness, ξ, with multiple values of the momentum transfer, t. Our analysis employs the short-distance factorization framework on ratio-scheme renormalized quasi-GPD matrix elements. The calculations are based on an N f = 2 + 1 + 1 twisted mass fermions ensemble with clover improvement, a lattice spacing of a = 0.093 fm, and a pion mass of m π = 260 MeV. We consider both the iso-vector and iso-scalar cases, utilizing next-to-leading-order perturbative matching while omitting the disconnected contributions and gluon mixing in the iso-scalar case. For the first time, we determine the Mellin moments of H ~ $$ \overset{\sim }{H} $$ up to the fifth order. From these moments, we discuss the quark helicity and orbital angular momentum contributions to the nucleon spin, as well as the spin-orbit correlations of the quarks. Additionally, we perform a Fourier transform over the momentum transfer, which allows us to explore the spin structure in the impact-parameter space.https://doi.org/10.1007/JHEP01(2025)146Hadronic SpectroscopyStructure and InteractionsLattice QCDParton Distributions |
| spellingShingle | Shohini Bhattacharya Krzysztof Cichy Martha Constantinou Xiang Gao Andreas Metz Joshua Miller Swagato Mukherjee Peter Petreczky Fernanda Steffens Yong Zhao Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation Journal of High Energy Physics Hadronic Spectroscopy Structure and Interactions Lattice QCD Parton Distributions |
| title | Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation |
| title_full | Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation |
| title_fullStr | Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation |
| title_full_unstemmed | Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation |
| title_short | Moments of axial-vector GPD from lattice QCD: quark helicity, orbital angular momentum, and spin-orbit correlation |
| title_sort | moments of axial vector gpd from lattice qcd quark helicity orbital angular momentum and spin orbit correlation |
| topic | Hadronic Spectroscopy Structure and Interactions Lattice QCD Parton Distributions |
| url | https://doi.org/10.1007/JHEP01(2025)146 |
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