One-loop CHY-Integrand of Bi-adjoint Scalar Theory

Abstract

In this paper, the one-loop CHY-integrands of bi-adjoint scalar theory has been reinvestigated. Differing from previous constructions, we have explicitly removed contributions from tadpole and massless bubbles when taking the forward limit of corresponding tree-level amplitudes. The way to remove those singular contributions is to exploit the idea of 'picking poles', which is to multiply a special cross ratio factor with the role of isolating terms having a particular pole structure.

29 pages, 8 figures

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Cited by in corpus (9)

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• One-loop diagrams with quadratic propagators from the worldsheet
• On differential operators and unifying relations for $1$-loop Feynman integrands
• On the Positive Geometry of Quartic Interactions III : One Loop Integrands from Polytopes
• One-loop integrand from generalised scattering equations
• Transmutation operators and expansions for $1$-loop Feynman integrands
• Note on the Labelled tree graphs
• Note on solutions of scattering equations
• Tree and $1$-loop fundamental BCJ relations from soft theorems