Twist-3 partonic distributions from lattice QCD

The quasi-PDF approach, proposed by X. Ji in 2013, has made it possible to directly extract light-cone PDFs from lattice QCD. This approach relies on the extraction of matrix elements of space-like operators for fast-moving hadrons. Quasi-PDFs can be related to the light-cone PDFs through a perturbatively calculable matching coefficient. We explore the formalism of matching, for the very first time, for the twist-3 PDFs g_{T}(x)gT(x), e(x)e(x) and h_{L}(x)hL(x). In this work, we address the non-trivialities involved in the extraction of the matching coefficient due to the presence of (singular) zero-mode contributions.

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“…In Ref. [7], we have shown the first-ever result for the twist-3 GPD G2 (x) using the matching results shown in this work.…”

Section: Discussionsupporting

confidence: 68%

“…(See also Ref. [7].) We now summarize our final results for the singular (C (s) ) and the canonical (C (c) ) parts of the matching coefficients for g T (x) and h L (x) in the so-called Modified MS (MMS) scheme.…”

Section: 3mentioning

confidence: 99%

Zero modes and matching for the twist-3 PDFs

Bhattacharya

Cichy

Constantinou

et al. 2022

SciPost Phys. Proc.

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“…[8]. For the case of 𝐻 + 𝐺 2 we also compare with their forward limit, 𝑔 𝑇 , which we calculated in a separate work [16]. The setup corresponds to 𝑃 3 = 1.25 GeV and 𝜉 = 0.…”

Section: Pos(lattice2021)054mentioning

confidence: 99%

First Lattice QCD Study of Proton Twist-3 GPDs

Jack¹,

Bhattacharya²,

Cichy³

et al. 2022

Proceedings of the 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

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We present first results on selected twist-3 quark GPDs using the quasi-distribution method. This approach relates lattice QCD data and light-cone distribution functions using Large Momentum Effective Theory (LaMET). We calculate quark-antiquark correlators of boosted nucleons coupled to non-local operators with vector and axial Dirac structure, which is transverse to the momentum boost. We use three values of the momentum boost, namely 0.83, 1.25, 1.67 GeV. The GPDs are defined in the symmetric (Breit frame), which we implement here with 4-vector momentum transfer squared of 0, 0.69 and 1.39 GeV 2 , all at zero skewness. The calculation is performed using one ensemble of two degenerate light, a strange and a charm quark (𝑁 𝑓 = 2 + 1 + 1) of maximally twisted mass fermions with a clover term, corresponding to a pion mass of 260 MeV.

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“…One of the difficulties with lattice QCD is that calculations are computationally expensive and a large number of statistics is needed. Traditionally, calculations of GPDs in lattice QCD are performed in the symmetric (Breit) frame [9][10][11], which requires a new calculation for every value of the momentum transfer, ì Δ. Recently, a new Lorentz invariant parametrization of the GPDs and quasi-GPDs has been proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Proton Helicity GPDs from Lattice QCD

Miller,

Bhattacharya,

Cichy

et al. 2024

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

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First lattice QCD calculations of 𝑥-dependent GPD have been performed in the (symmetric) Breit frame, where the momentum transfer is evenly divided between the initial and final hadron states. However, employing the asymmetric frame, we are able to obtain proton GPDs for multiple momentum transfers in a computationally efficient setup. In these proceedings, we focus on the helicity twist-2 GPD at zero skewness that gives access to the 𝐻 GPD. We will cover the implementation of the asymmetric frame, its comparison to the Breit frame, and the dependence of the GPD on the squared four-momentum transfer, −𝑡. The calculation is performed on an 𝑁 𝑓 = 2 + 1 + 1 ensemble of twisted mass fermions with a clover improvement. The mass of the pion for this ensemble is roughly 260 MeV.

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Twist-3 partonic distributions from lattice QCD

Cited by 6 publications

References 23 publications

Zero modes and matching for the twist-3 PDFs

Zero modes and matching for the twist-3 PDFs

First Lattice QCD Study of Proton Twist-3 GPDs

Proton Helicity GPDs from Lattice QCD

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