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He, S1; Yan, GW; Zhang, C1; Zhang, Y1
Scattering forms, worldsheet forms and amplitudes from subspaces

We present a general construction of two types of differential forms, based on any (n-3)-dimensional subspace in the kinematic space of n massless particles. The first type is the so-called projective, scattering forms in kinematic space, while the second is defined in the moduli space of n-punctured Riemann spheres which we call worldsheet forms. We show that the pushforward of worldsheet forms, by summing over solutions of scattering equations, gives the corresponding scattering forms, which generalizes the results of [1]. The pullback of scattering forms to subspaces can have natural interpretations as amplitudes in terms of Bern-Carrasco-Johansson double-copy construction or Cachazo-He-Yuan formula. As an application of our formalism, we construct in this way a large class of d log scattering forms and worldsheet forms, which are in one-to-one correspondence with non-planar MHV leading singularities in N = 4 super-Yang-Mills. For every leading singularity function, we present a new determinant formula in moduli space, as well as a (combinatoric) polytope and associated scattering form in kinematic space. These include the so-called Cayley cases, where in each case the scattering form is the canonical forms of a convex polytope in the subspace, and scattering equations admit elegant rewritings as a map from the moduli space to the subspace.

Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:18[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
3.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
He, S,Yan, GW,Zhang, C,et al. Scattering forms, worldsheet forms and amplitudes from subspaces[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(8):40.
APA He, S,Yan, GW,Zhang, C,&Zhang, Y.(2018).Scattering forms, worldsheet forms and amplitudes from subspaces.JOURNAL OF HIGH ENERGY PHYSICS(8),40.
MLA He, S,et al."Scattering forms, worldsheet forms and amplitudes from subspaces".JOURNAL OF HIGH ENERGY PHYSICS .8(2018):40.
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