One-loop corrections from higher dimensional tree amplitudes

doi:http://dx.doi.org/10.1007/JHEP08(2016)008

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	One-loop corrections from higher dimensional tree amplitudes
	Cachazo, F; He, S; Yuan, EY; Cachazo, F (reprint author), Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada.
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2016
期号	8 页码:8
关键词	Scattering Amplitudes Field Theories In Higher Dimensions
DOI	http://dx.doi.org/10.1007/JHEP08(2016)008
英文摘要	We show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting with a complete tree-level scattering amplitude of n + 2 particles in five dimensions, one assumes that two of them cannot be "detected" and therefore an integration over their LIPS is carried out. The resulting object, function of the remaining n particles, is taken to be four-dimensional by restricting the corresponding momenta. We perform this procedure in the context of the tree-level CHY formulation of amplitudes. The scattering equations obtained in the procedure coincide with those derived by Geyer et al. from ambitwistor constructions and recently studied by two of the authors for bi-adjoint scalars. They have two sectors of solutions: regular and singular. We prove that the contribution from regular solutions generically gives rise to unphysical poles. However, using a BCFW argument we prove that the unphysical contributions are always homogeneous functions of the loop momentum and can be discarded. We also show that the contribution from singular solutions turns out to be homogeneous as well.
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/311006/21575]
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	Cachazo, F (reprint author), Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada.
推荐引用方式 GB/T 7714	Cachazo, F,He, S,Yuan, EY,et al. One-loop corrections from higher dimensional tree amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(8):8.
APA	Cachazo, F,He, S,Yuan, EY,&Cachazo, F .(2016).One-loop corrections from higher dimensional tree amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(8),8.
MLA	Cachazo, F,et al."One-loop corrections from higher dimensional tree amplitudes".JOURNAL OF HIGH ENERGY PHYSICS .8(2016):8.