Chiral-even axial twist-3 GPDs of the proton from lattice QCD

Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha; Dodson, Jack; Metz, Andreas; Scapellato, Aurora; Steffens, Fernanda

doi:10.1103/physrevd.108.054501

Cited by 13 publications

(3 citation statements)

References 74 publications

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“…We note that the forward limit of the matrix element gives the combination 𝐹 𝐻+ 𝐺 2 ≡ 𝑔 𝑇 , the 2-parton twist-3 PDF that we calculated in Ref. [9]. Different parameterizations for twist-3 light-cone GPDs are available in the literature [16,17]; see also Ref.…”

Section: Martha Constantinoumentioning

confidence: 78%

“…In the current work, we utilize our experience on the twist-3 proton PDFs, 𝑒(𝑥), 𝑔 𝑇 (𝑥) and ℎ 𝐿 (𝑥) [9][10][11][12], as well as lattice calculations of twist-2 GPDs conducted by members of our group and collaborators [13,14], to extract the chiral-even twist-3 axial GPDs. This calculation is quite challenging both computationally and theoretically due to increased gauge noise (momentum boost, momentum transfer, non-local operators), the cost (increased number of matrix elements and number of GPDs, choice of frame), and the enhancement of systematic uncertainties (finite-volume and discretization effects, non-uniqueness of quasi-GPDs definition).…”

Section: Introductionmentioning

confidence: 99%

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Twist-3 axial GPDs of the proton from lattice QCD

Constantinou,

Bhattacharya,

Cichy

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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In these proceedings, we summarize results from the first lattice-QCD calculation of the twist-3 axial quark GPDs for the proton using the large-momentum effective theory approach. The calculation is performed using one 𝑁 𝑓 = 2 + 1 + 1 ensemble of maximally twisted mass fermions with a clover term, that has a volume 32 3 × 64, lattice spacing 0.0934 fm, and a pion mass of 260 MeV. The momentum boost of the nucleon matrix elements is 0.83, 1.25, and 1.67 GeV, and the 4-vector momentum transfer squared is 0.69, 1.38, and 2.76 GeV 2 . We perform a number of consistency checks, such as the Burkhardt-Cottingham-type as well as Efremov-Teryaev-Leadertype sum rules.

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Section: Martha Constantinoumentioning

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Twist-3 axial GPDs of the proton from lattice QCD

Constantinou,

Bhattacharya,

Cichy

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…In addition, there is a first work of twist-3 axial quark GPDs for the nucleon reported in Ref. [57] with three different momentum transfer of 0.69, 1.38, and 2.76 GeV 2 .…”

Section: Generalized Parton Distributionsmentioning

confidence: 99%

Overview of hadron structure from lattice QCD

Gao

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We review the latest progress in lattice QCD calculations of the hadron structure. There have been improved calculations of form factors and gravitational form factors by removing the lattice artifacts. Additionally, we highlight the rapid development in lattice calculations of x-dependent parton distributions. This area of study has expanded from various one-dimensional parton distribution functions (PDFs) to three-dimensional distributions like generalized parton distribution functions (GPDs) and transverse-momentum-dependent PDFs (TMDs). These advancements are being achieved within the large momentum effective theory (LaMET) framework and similar methodologies, with considerable progress in controlling lattice artifacts as well as enhancing theoretical accuracy.

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Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach

Zhu,

Xu,

et al. 2024

Physics Letters B

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Chiral-even axial twist-3 GPDs of the proton from lattice QCD

Cited by 13 publications

References 74 publications

Twist-3 axial GPDs of the proton from lattice QCD

Twist-3 axial GPDs of the proton from lattice QCD

Overview of hadron structure from lattice QCD

Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach

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