A Novel Feature of Valence Quark Distributions in Hadrons

Leon, Christopher C.; Sargsian, Misak; Vera, Frank

doi:10.48550/arxiv.2003.12902

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2020

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“…However, it is not clear if such an effect would also persist when deviation from 2-parameter PDF ansatz is significant. It is worth pointing out that there could be other robust features of valence PDF, for example, a study [86] found a near constant relationship of peak position and height on the factorization scale µ. It would be interesting to make use of such features in the future analysis.…”

Section: Discussionmentioning

confidence: 99%

Valence parton distribution of pion from lattice QCD: Approaching continuum

Gao,

Jin,

Kallidonis

et al. 2020

Preprint

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We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using the 1-loop perturbative LaMET framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.

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Section: Discussionmentioning

confidence: 99%