On the singular behavior of the chirality-odd twist-3 parton distribution e(x)

doi:10.1016/j.physletb.2020.135947

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	On the singular behavior of the chirality-odd twist-3 parton distribution e(x)
	Ma, J. P.; Zhang, G. P.
刊名	PHYSICS LETTERS B
	2020
卷号	811 页码:135947
关键词	Q(2) EVOLUTION
ISSN号	0370-2693
DOI	10.1016/j.physletb.2020.135947
英文摘要	The first moment of the chirality-odd twist-3 parton distribution e(x) is related to the pion-nucleon sigma-term, which is important for phenomenology. However, the possible existence of a singular contribution proportional to delta(x) in the distribution prevents the determination of the a-term with e(x) extracted from experimental data. There are two approaches to show the existence: the first one is based on an operator identity; the second one is based on a perturbative calculation of a single quark state with finite quark mass. We show that all contributions proportional to delta(x) in the first approach are canceled. For the second approach we find that e(x) of a multiparton state with a massless quark has no contribution with delta(x). Considering that a proton is essentially a multiparton state, the effect of the contribution with delta(x) is expected to be suppressed by light quark masses with arguments from perturbation theory. A detailed discussion of the difference between cut diagrams and uncut diagrams of e(x) is provided. (C) 2020 The Author(s). Published by Elsevier B.V.
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/311006/27425]
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.[Ma, J. P.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China 2.[Ma, J. P.] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 3.[Ma, J. P.] Peking Univ, Sch Phys, Beijing 100871, Peoples R China 4.[Ma, J. P.] Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China 5.[Zhang, G. P.] Yunnan Univ, Dept Phys, Kunming 650091, Yunnan, Peoples R China
推荐引用方式 GB/T 7714	Ma, J. P.,Zhang, G. P.. On the singular behavior of the chirality-odd twist-3 parton distribution e(x)[J]. PHYSICS LETTERS B,2020,811:135947.
APA	Ma, J. P.,&Zhang, G. P..(2020).On the singular behavior of the chirality-odd twist-3 parton distribution e(x).PHYSICS LETTERS B,811,135947.
MLA	Ma, J. P.,et al."On the singular behavior of the chirality-odd twist-3 parton distribution e(x)".PHYSICS LETTERS B 811(2020):135947.