CHY-construction of Planar Loop Integrands of Cubic Scalar Theory

Understand

In this paper, by treating massive loop momenta to massless momenta in higher dimension, we are able to treat all-loop scattering equations as tree ones.

• As an application of the new aspect, we consider the CHY-construction of bi-adjoint phi_3 theory.
• We present the explicit formula for two-loop planar integrands.
• We discuss carefully how to subtract various forward singularities in the construction.