Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching

التفاصيل البيبلوغرافية
العنوان: Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
المؤلفون: Liu, Yu-Sheng, Chen, Jiunn-Wei, Huo, Yi-Kai, Jin, Luchang, Schlemmer, Maximilian, Schäfer, Andreas, Sun, Peng, Wang, Wei, Yang, Yi-Bo, Zhang, Jian-Hui, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong
المصدر: Phys. Rev. D 101, 034020 (2020)
سنة النشر: 2018
المجموعة: High Energy Physics - Experiment
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
مصطلحات موضوعية: High Energy Physics - Lattice, High Energy Physics - Experiment, High Energy Physics - Phenomenology, Nuclear Experiment, Nuclear Theory
الوصف: We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension. In the lattice simulation, we use a Gaussian-momentum-smeared source at $M_\pi=356$ MeV and $P_z \in \{1.8,2.3\}$ GeV. To control the systematics associated with the excited states, we explore {five different source-sink separations}. The nonperturbative renormalization is conducted in a regularization-independent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and $\bar{\rm MS}$ PDF is calculated based on perturbative QCD up to one-loop order. Systematic errors due to renormalization and perturbative matching are also analyzed in detail. Our results for lightcone PDF are in reasonable agreement with the latest phenomenological analysis.
Comment: 17 pages, 10 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.101.034020
URL الوصول: http://arxiv.org/abs/1807.06566
رقم الأكسشن: edsarx.1807.06566
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.101.034020