Amplitude/operator basis in chiral perturbation theory

doi:10.1007/JHEP01(2023)031

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	Amplitude/operator basis in chiral perturbation theory
	Low, Ian ; Shu, Jing 2,3,4; Xiao, Ming-Lei ; Zheng, Yu-Hui
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2023
期号	1 页码:31
ISSN号	1029-8479
DOI	10.1007/JHEP01(2023)031
英文摘要	We establish a systematic construction of the on-shell amplitude/operator basis for Chiral Perturbation Theory (ChPT) in D = 4 spacetime dimensions and with an arbitrary number of flavors N-f. For kinematic factors, we employ spinor-helicity variables to construct the soft blocks, which are local amplitudes satisfying the Adler's zero condition, as well as to take into account the reduction in the kinematic basis due to the Gram determinant, which arises at O(p(10)) when the number of multiplicity N in an amplitude becomes large: N > D. For flavor factors, we include group-theoretic relations at small N-f, N-f & LE; N, which decreases the flavor basis. The result is obtained by adapting the Young tensor method of constructing the operator basis for generic effective field theories to the case of non-linearly realized symmetries. Working in the massless quark limit, we present purely mesonic operators for both even- and odd-parity at O(p(6)) and O(p(8)) for N = 6 and arbitrary N-f, and establish a direct correspondence between the amplitude basis and the operator basis. Furthermore, the redundancy due to the Gram determinant is studied at O(p(10)) for N = 6, 8 and 10.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27924]
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.Argonne Natl Lab, High Energy Phys Div, Argonne, IL 60439 USA 2.Northwestern Univ, Dept Phys & Astron, Evanston, IL 60208 USA 3.Peking Univ, Sch Phys, Beijing 100871, Peoples R China 4.Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China 5.Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China 6.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 7.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Low, Ian,Shu, Jing,Xiao, Ming-Lei,et al. Amplitude/operator basis in chiral perturbation theory[J]. JOURNAL OF HIGH ENERGY PHYSICS,2023(1):31.
APA	Low, Ian,Shu, Jing,Xiao, Ming-Lei,&Zheng, Yu-Hui.(2023).Amplitude/operator basis in chiral perturbation theory.JOURNAL OF HIGH ENERGY PHYSICS(1),31.
MLA	Low, Ian,et al."Amplitude/operator basis in chiral perturbation theory".JOURNAL OF HIGH ENERGY PHYSICS .1(2023):31.