Generalized positivity bounds on chiral perturbation theory
Wang, Yu-Jia; Guo, Feng-Kun; Zhang, Cen3,4; Zhou, Shuang-Yong
刊名JOURNAL OF HIGH ENERGY PHYSICS
2020
期号7页码:214
关键词PION-PION SCATTERING FORM-FACTORS MESON-MESON AMPLITUDES HIGGS RENORMALIZATION CONSTRAINTS LAGRANGIANS PARAMETERS SYMMETRY
ISSN号1029-8479
DOI10.1007/JHEP07(2020)214
英文摘要Recently, a new set of positivity bounds withtderivatives have been discovered. We explore the generic features of these generalized positivity bounds with loop amplitudes and apply these bounds to constrain the parameters in chiral perturbation theory up to the next-to-next-to-leading order. We show that the generalized positivity bounds give rise to stronger constraints on thel over bar (l) over bari constants, compared to the existing axiomatic bounds. The parameter space of the b(i) constants is constrained by the generalized positivity bounds to be a convex region that is enclosed for many sections of the total space. We also show that the improved version of these positivity bounds can further enhance the constraints on the parameters. The often used Pade unitarization method however does not improve the analyticity of the amplitudes in the chiral perturbation theory at low energies.
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/311006/27330]  
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 Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China
2.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Wang, Yu-Jia,Guo, Feng-Kun,Zhang, Cen,et al. Generalized positivity bounds on chiral perturbation theory[J]. JOURNAL OF HIGH ENERGY PHYSICS,2020(7):214.
APA Wang, Yu-Jia,Guo, Feng-Kun,Zhang, Cen,&Zhou, Shuang-Yong.(2020).Generalized positivity bounds on chiral perturbation theory.JOURNAL OF HIGH ENERGY PHYSICS(7),214.
MLA Wang, Yu-Jia,et al."Generalized positivity bounds on chiral perturbation theory".JOURNAL OF HIGH ENERGY PHYSICS .7(2020):214.
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