Towards the nucleon hadronic tensor from lattice QCD

doi:10.1103/PhysRevD.101.114503

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Towards the nucleon hadronic tensor from lattice QCD
	Liang, Jian ; Draper, Terrence ; Liu, Keh-Fei ; Rothkopf, Alexander 1; Yang, Yi-Bo
刊名	PHYSICAL REVIEW D
	2020
卷号	101 期号:11 页码:114503
关键词	MAXIMUM-ENTROPY ANALYSIS
ISSN号	1550-7998
DOI	10.1103/PhysRevD.101.114503
英文摘要	We present the first calculation of the hadronic tensor on the lattice for the nucleon. The hadronic tensor can be used to extract structure functions in deep inelastic scatterings and to provide information for neutrino-nucleon scattering which is crucial to neutrino-nucleus scattering experiments at low energies. The most challenging part in the calculation is to solve an inverse problem. We have implemented and tested three algorithms using mock data, showing that the Bayesian reconstruction method has the best resolution in extracting peak structures while the Backus-Gilbert and maximum entropy methods are somewhat more stable for smooth functions. Numerical results are presented for both the elastic case (clover fermions on domain wall configurations with m(pi) similar to 370 MeV and a similar to 0.06 fm) and a case (anisotropic clover lattice with m(pi) similar to 380 MeV and a(t) similar to 0.035 fm) with large momentum transfer. For the former case, the reconstructed Minkowski hadronic tensor gives precisely the vector charge which proves the feasibility of the approach. For the latter case, the resonance and possibly shallow inelastic scattering contributions around energy transfer nu = 1 GeV are clearly observed but no information is obtained for higher excited states with nu > 2 GeV. A check of the effective masses of the rho meson with different lattice setups indicates that, in order to reach higher energy transfers, using lattices with smaller lattice spacings is essential.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27523]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 USA 2.Univ Stavanger, Fac Sci & Technol, N-4021 Stanvanger, Norway 3.Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liang, Jian,Draper, Terrence,Liu, Keh-Fei,et al. Towards the nucleon hadronic tensor from lattice QCD[J]. PHYSICAL REVIEW D,2020,101(11):114503.
APA	Liang, Jian,Draper, Terrence,Liu, Keh-Fei,Rothkopf, Alexander,&Yang, Yi-Bo.(2020).Towards the nucleon hadronic tensor from lattice QCD.PHYSICAL REVIEW D,101(11),114503.
MLA	Liang, Jian,et al."Towards the nucleon hadronic tensor from lattice QCD".PHYSICAL REVIEW D 101.11(2020):114503.