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Conformal Structure of Massless Scalar Amplitudes Beyond Tree level · Around

2017

Conformal Structure of Massless Scalar Amplitudes Beyond Tree level

Banerjee, Nabamita, Banerjee, Shamik, Bhatkar, Sayali Atul et al.

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We show that the one-loop on-shell four-point scattering amplitude of massless $\phi^4$ scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group ($SL(2,C)$) on the sphere.

The unitarity of the four-point scalar amplitudes is recast into this Mellin basis.
We show that the same conformal structure also appears for the two-loop Mellin amplitude.
Finally we comment on some universal structure for all loop four-point Mellin amplitudes specific to this theory.

Built on

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S. He, Y.-t. Huang, and C. Wen, Loop Corrections to Soft Theorems in Gauge Theories and Gravity
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