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Cachazo, F; He, S; Yuan, EY; Cachazo, F (reprint author), Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada.
One-loop corrections from higher dimensional tree amplitudes
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordScattering Amplitudes Field Theories In Higher Dimensions
AbstractWe 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.
2016
Issue8Pages:8
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP08(2016)008
Indexed BySCI
Funding OrganizationU.S. Department of Energy [DE-SC0009988] ; U.S. Department of Energy [DE-SC0009988] ; U.S. Department of Energy [DE-SC0009988] ; U.S. Department of Energy [DE-SC0009988] ; Corning Glass Works Foundation Fellowship Fund at the Institute for Advanced Study ; Corning Glass Works Foundation Fellowship Fund at the Institute for Advanced Study ; Corning Glass Works Foundation Fellowship Fund at the Institute for Advanced Study ; Corning Glass Works Foundation Fellowship Fund at the Institute for Advanced Study ; Government of Canada through Industry Canada ; Government of Canada through Industry Canada ; Government of Canada through Industry Canada ; Government of Canada through Industry Canada ; Province of Ontario through the Ministry of Research Innovation ; Province of Ontario through the Ministry of Research Innovation ; Province of Ontario through the Ministry of Research Innovation ; Province of Ontario through the Ministry of Research Innovation
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21575
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCachazo, F (reprint author), Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada.
Recommended Citation
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.
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