Polynomial structures in one-loop amplitudes

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	Polynomial structures in one-loop amplitudes
	Yang, Gang; Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands; Britto, Ruth; Feng, Bo
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2008
期号	9 页码:-
关键词	Super-yang-mills Algebraic Reduction Feynman Diagrams Scalar Integrals Rational Parts Gauge-theories Multiple Bremsstrahlung General Formalism Unitarity Cut
ISSN号	1126-6708
英文摘要	A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients of (4-2 is an element of)-dimensional master integrals; these formulas depend on an additional variable, u, which encodes the dimensional shift. Second, convert the u-dependent coefficients of (4-2 is an element of)-dimensional master integrals to explicit coefficients of dimensionally shifted master integrals. This procedure requires the initial formulas for coefficients to have polynomial dependence on u. Here, we give a proof of this property in the case of massless propagators. The proof is constructive. Thus, as a byproduct, we produce different algebraic expressions for the scalar integral coefficients, in which the polynomial property is apparent. In these formulas, the box and pentagon contributions are separated explicitly.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000259699700048
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5475]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands
推荐引用方式 GB/T 7714	Yang, Gang,Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands,Britto, Ruth,et al. Polynomial structures in one-loop amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2008(9):-.
APA	Yang, Gang,Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands,Britto, Ruth,&Feng, Bo.(2008).Polynomial structures in one-loop amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(9),-.
MLA	Yang, Gang,et al."Polynomial structures in one-loop amplitudes".JOURNAL OF HIGH ENERGY PHYSICS .9(2008):-.