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A differential operator for integrating one-loop scattering equations

delete2017-01-09
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T
Tianheng Wang
C
Chen, Gang *
C
Cheung, Yeuk-Kwan E.
X
Xu, Feng
DOI:10.1007/JHEP01(2017)028delete
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Abstract

Abstract

En 中文
We propose a differential operator for computing the residues associated with a class of meromorphic n-forms that frequently appear in the Cachazo-He-Yuan form of the scattering amplitudes. This differential operator is conjectured to be uniquely determined by the local duality theorem and the intersection number of the divisors in the n-form. We use the operator to evaluate the one-loop integrand of Yang-Mills theory from their generalized CHY formulae. The method can reduce the complexity of the calculation. In addition, the expression for the 1-loop four-point Yang-Mills integrand obtained in our approach has a clear correspondence with the Q-cut results.
Keywords:
Scattering Amplitudes
Conformal Field Theory
Differential and Algebraic Geometry
Supersymmetric gauge theory
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Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

N
nanjing university
Scholars:
7.7W
Papers: 5.6W
Citations: 87