Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3857
Title: Conformal structure of massless scalar amplitudes beyond tree level
Authors: BANERJEE, NABAMITA
Banerjee, Shamik
BHATKAR, SAYALI ATUL
JAIN, SACHIN
Dept. of Physics
Keywords: Conformal structure
Massless scalar
Amplitudes beyond tree level
2018
Issue Date: Apr-2018
Publisher: Springer Nature
Citation: Journal of High Energy Physics, 2018, 39.
Abstract: We show that the one-loop on-shell four-point scattering amplitude of massless ϕ4 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.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3857
https://doi.org/10.1007/JHEP04(2018)039
ISSN: 1126-6708
1126-6708
Appears in Collections:JOURNAL ARTICLES

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