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A differential operator for integrating one-loop scattering equations
Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China.;Zhejiang Normal Univ, Dept Phys, Jinhua, Zhejiang, Peoples R China..
Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China..
Weavi Corp Ltd, Nanjing, Jiangsu, Peoples R China..
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 028Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
SPRINGER , 2017. no 1, article id 028
Keywords [en]
Scattering Amplitudes, Conformal Field Theory, Differential and Algebraic Geometry, Supersymmetric gauge theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-320815DOI: 10.1007/JHEP01(2017)028ISI: 000397641300007OAI: oai:DiVA.org:uu-320815DiVA, id: diva2:1091143
Funder
EU, Horizon 2020, 644121-MIXMAX-H2020-MSCA-RISE-2014Available from: 2017-04-26 Created: 2017-04-26 Last updated: 2017-04-26Bibliographically approved

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