Relations of loop partial amplitudes in gauge theory by Unitarity cut method

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	Relations of loop partial amplitudes in gauge theory by Unitarity cut method
	Feng, B ; Jia, Y ; Huang, RJ
刊名	NUCLEAR PHYSICS B
	2012
卷号	854 期号:1 页码:243-275
关键词	SUPER-YANG-MILLS ALGEBRAIC REDUCTION ANALYTIC PROPERTIES FEYNMAN DIAGRAMS SCALAR INTEGRALS TREE AMPLITUDES SCATTERING
ISSN号	0550-3213
通讯作者	Jia, Y (reprint author), Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China.
英文摘要	It 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.
学科主题	Physics
收录类别	SCI
资助信息	Fundamental Research Funds for the Central Universities [2010QNA3015]; Chinese NSF [10875104, 11031005]
原文出处	http://dx.doi.org/10.1016/j.nuclphysb.2011.08.024
语种	英语
WOS记录号	WOS:000296167500010
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15200]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Feng, B,Jia, Y,Huang, RJ. 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.(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.