Self-renormalization of quasi-light-front correlators on the lattice

Huo, Yi-Kai; Su, Yushan; Gui, Long-Cheng; Ji, Xiangdong; Li, Yuanyuan; Liu, Yizhuang; Schäfer, Andreas; Schlemmer, Maximilian; Sun, Peng; Wang, Wei; Yang, Yi-Bo; Zhang, Jianhui

doi:10.1016/j.nuclphysb.2021.115443

Cited by 47 publications

(34 citation statements)

References 29 publications

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“…In such a case, even after renormalization there may still be residual linear divergences rendering the continuum extrapolation problematic. To resolve this issue, a self renormalization strategy [36] has been proposed, where one fits the divergence structure to a quasi-LF correlation and uses it for renormalization. The present work provides the first full implementation of this strategy, and shows that it indeed gives promising results.…”

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confidence: 99%

“…Here we adopt the self renormalization proposed in Ref. [36], which amounts to fitting the bare quasi-LF correlation and subtracting the relevant UV divergences. To be more precise, one fits the bare quasi-LF correlation at given hadron momentum and multiple lattice spacings with a perturbative-QCD-dictated parametrization that contains a linear divergence, a logarithmic divergence, and discretization effects.…”

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confidence: 99%

“…As suggested in Ref. [36], the UV divergences in the quasi-LF correlator can be determined by using, e.g., the pion PDF matrix elements M(z) ≡ π|O γt |π in the rest frame at multiple lattice spacings, and fitting the bare data M B to the following form [36]…”

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confidence: 99%

“…The last two terms come from the resummation of leading and subleading logarithmic divergences, which only affect the overall normalization at different lattice spacings. To partially account for higher-order perturbative effects as well as remaining lattice artifacts, we also treat d and Λ QCD as fitting parameters [36]. The renormalized matrix element is required to be equal to the continuum perturbative MS result at short distances (chosen to be z ∈ z s = [0.06, 0.18] fm as defined in [41]),…”

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confidence: 99%

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Pion and Kaon Distribution Amplitudes from Lattice QCD

Hua¹,

Chu²,

He³

et al. 2022

Preprint

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We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings a ≈ {0.06, 0.09, 0.12} fm and physical pion and kaon masses, with the meson momenta Pz = {1.29, 1.72, 2.15} GeV. The result is non-perturbatively renormalized in a recently proposed hybrid scheme with self renormalization, and extrapolated to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large SU (3) flavor breaking effect in the kaon DA.

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Pion and Kaon Distribution Amplitudes from Lattice QCD

Hua¹,

Chu²,

He³

et al. 2022

Preprint

Self Cite

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“…To overcome this limitation, the hybrid scheme was proposed to subtract the linear divergence at large z and match the result to the MS scheme [19]. In practice, there are different ways to do the subtraction and matching [18,19,26], all of which have high demand for precision as the error can be amplified exponentially in z.…”

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confidence: 99%

Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order

Gao,

Hanlon,

Mukherjee

et al. 2021

Preprint

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We develop a procedure to renormalize the quasi parton distribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distance in coordinate space, and match it to the MS scheme light-cone parton distribution at next-to-next-to-leading order in perturbation theory. For the first time we apply this procedure to the calculation of pion valence quark distribution using two fine lattices with spacing a = 0.04 fm and 0.06 fm and valence pion mass mπ = 300 MeV, at boost momentum as large as 2.42 GeV. We demonstrate that perturbative matching in the Bjorken-x space yields reliable determination of the valence quark distribution for 0.03 x 0.80 with 5-20% uncertainty.

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Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions

Edwards

Egerer

Karpie

et al. 2023

J. High Energ. Phys.

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The non-singlet helicity quark parton distribution functions (PDFs) of the nucleon are determined from lattice QCD, by jointly leveraging pseudo-distributions and the distillation spatial smearing paradigm. A Lorentz decomposition of appropriately isolated space-like matrix elements reveals pseudo-distributions that contain information on the leading-twist helicity PDFs, as well as an invariant amplitude that induces an additional z2 contamination of the leading-twist signal. An analysis of the short-distance behavior of the space-like matrix elements using matching coefficients computed to next-to-leading order (NLO) exposes the desired PDF up to this additional z2 contamination. Due to the non-conservation of the axial current, we elect to isolate the helicity PDFs normalized by the nucleon axial charge at the same scale μ2. The leading-twist helicity PDFs as well as several sources of systematic error, including higher-twist effects, discretization errors, and the aforementioned z2 contaminating amplitude are jointly determined by characterizing the computed pseudo-distribution in a basis of Jacobi polynomials. The Akaike Information Criterion is exploited to effectively average over distinct model parameterizations and cuts on the pseudo-distribution. Encouraging agreement is observed with recent global analyses of each non-singlet quark helicity PDF, notably a rather small non-singlet anti-quark helicity PDF for all quark momentum fractions.

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Self-renormalization of quasi-light-front correlators on the lattice

Cited by 47 publications

References 29 publications

Pion and Kaon Distribution Amplitudes from Lattice QCD

Pion and Kaon Distribution Amplitudes from Lattice QCD

Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order

Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions

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