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Feng, B; Jia, Y; Huang, RJ; Jia, Y (reprint author), Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China.
Relations of loop partial amplitudes in gauge theory by Unitarity cut method
Source PublicationNUCLEAR PHYSICS B
Language英语
KeywordSuper-yang-mills Algebraic Reduction Analytic Properties Feynman Diagrams Scalar Integrals Tree Amplitudes Scattering
AbstractIt is well known that under the color-decomposition, one-loop amplitude of gluons contains partial amplitudes of single and double trace structures, and particularly all partial amplitudes of double trace structure can be expressed as a linear combination of partial amplitudes of single trace structure. Using unitarity cut method, we prove that this result is the natural consequence of tree-level Kleiss-Kuijf relation. Generalizing the unitarity cut method to two-loop (triple cut in this case), we show that, unlike the one-loop case, partial amplitudes of double and triple trace structures cannot be expressed as a linear combination of partial amplitudes of leading-color single trace structure. For partial amplitudes of subleading-color single trace structure, we have shown a very non-trivial Kleiss-Kuijf relation for six and seven-point amplitudes, which is one new result of our paper and cannot be obtained by U(1)-decoupling method. Mysteriously, when we consider the case of eight points. Kleiss-Kuijf relation must be modified for subleading-color single trace partial amplitudes. (C) 2011 Elsevier B.V. All rights reserved.
2012
ISSN0550-3213
Volume854Issue:1Pages:243-275
Subject AreaPhysics
Indexed BySCI
Funding OrganizationFundamental Research Funds for the Central Universities [2010QNA3015]; Chinese NSF [10875104, 11031005] ; Fundamental Research Funds for the Central Universities [2010QNA3015]; Chinese NSF [10875104, 11031005] ; Fundamental Research Funds for the Central Universities [2010QNA3015]; Chinese NSF [10875104, 11031005] ; Fundamental Research Funds for the Central Universities [2010QNA3015]; Chinese NSF [10875104, 11031005]
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Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15200
Collection理论物理所科研产出_SCI论文
Corresponding AuthorJia, Y (reprint author), Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China.
Recommended Citation
GB/T 7714
Feng, B,Jia, Y,Huang, RJ,et al. Relations of loop partial amplitudes in gauge theory by Unitarity cut method[J]. NUCLEAR PHYSICS B,2012,854(1):243-275.
APA Feng, B,Jia, Y,Huang, RJ,&Jia, Y .(2012).Relations of loop partial amplitudes in gauge theory by Unitarity cut method.NUCLEAR PHYSICS B,854(1),243-275.
MLA Feng, B,et al."Relations of loop partial amplitudes in gauge theory by Unitarity cut method".NUCLEAR PHYSICS B 854.1(2012):243-275.
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