Continuum-extrapolated NNLO valence PDF of the pion at the physical point
| العنوان: | Continuum-extrapolated NNLO valence PDF of the pion at the physical point |
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| المؤلفون: | Xiang Gao, Andrew D. Hanlon, Nikhil Karthik, Swagato Mukherjee, Peter Petreczky, Philipp Scior, Shuzhe Shi, Sergey Syritsyn, Yong Zhao, Kai Zhou |
| المصدر: | Physical Review |
| بيانات النشر: | American Physical Society (APS), 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Experiment (hep-ex), High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Nuclear Experiment (nucl-ex), Nuclear Experiment, High Energy Physics - Experiment |
| الوصف: | We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly improved staggered quarks and Wilson--Clover valance quarks, corresponding to pion mass $m_\pi=140$~MeV at a lattice spacing $a=0.076$~fm and $m_\pi=300$~MeV at $a=0.04, 0.06$~fm. This enables us to present, for the first time, continuum-extrapolated lattice QCD results for NNLO valence PDF of the pion at the physical point. Applying leading-twist expansion for renormalization group invariant (RGI) ratios of bi-local pion matrix elements with NNLO Wilson coefficients we extract $2^{\mathrm{nd}}$, $4^{\mathrm{th}}$ and $6^{\mathrm{th}}$ Mellin moments of the PDF. We reconstruct the Bjorken-$x$ dependence of the NNLO PDF from real-space RGI ratios using a deep neural network (DNN) as well as from momentum-space matrix elements renormalized using a hybrid-scheme. All our results are in broad agreement with the results of global fits to the experimental data carried out by the xFitter and JAM collaborations. Comment: 25 pages, 29 figures, version published in PRD |
| تدمد: | 2470-0029 2470-0010 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1fc999b0c90bc9e4c40cd0828a2c203 https://doi.org/10.1103/physrevd.106.114510 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....f1fc999b0c90bc9e4c40cd0828a2c203 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 24700029 24700010 |
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