تقرير
Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
| العنوان: | Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation |
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| المؤلفون: | Holligan, Jack, Lin, Huey-Wen |
| المصدر: | Phys.Rev.D 110 (2024) 3, 034503 |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Phenomenology, Nuclear Theory |
| الوصف: | We present a first study of the effects of renormalization-group resummation (RGR) and leading-renormalon resummation (LRR) on the systematic errors of the unpolarized isovector nucleon generalized parton distribution in the framework of large-momentum effective theory (LaMET). This work is done using lattice gauge ensembles generated by the MILC collaboration, consisting of 2+1+1 flavors of highly improved staggered quarks with a physical pion mass at lattice spacing $a\approx 0.09$ fm and a box width $L\approx 5.76$ fm. We present results for the nucleon $H$ and $E$ GPDs with average boost momentum $P_z\approx 2$ GeV at momentum transfers $Q^2=[0, 0.97]$ GeV$^2$ at skewness $\xi=0$ as well as $Q^2\in 0.23$ GeV$^2$ at $\xi=0.1$, renormalized in the $\overline{\rm MS}$ scheme at scale $\mu=2.0$ GeV, with two- and one-loop matching, respectively. We demonstrate that the simultaneous application of RGR and LRR significantly reduces the systematic errors in renormalized matrix elements and distributions for both the zero and nonzero skewness GPDs, and that it is necessary to include both RGR and LRR at higher orders in the matching and renormalization processes. Comment: 14 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.110.034503 |
| URL الوصول: | http://arxiv.org/abs/2312.10829 |
| رقم الأكسشن: | edsarx.2312.10829 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.110.034503 |
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