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题名: Polynomial structures in one-loop amplitudes
作者: Britto, Ruth ;  Feng, Bo ;  Yang, Gang
刊名: JOURNAL OF HIGH ENERGY PHYSICS
出版日期: 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
学科分类: Physics
通讯作者: Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands
部门归属: [Britto, R] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands; [Feng, B] Zhejiang Univ, Ctr Math Sci, Hangzhou, Peoples R China; [Yang, G] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000259699700048
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5475
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Britto, Ruth,Feng, Bo,Yang, Gang. Polynomial structures in one-loop amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2008(9):-.
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