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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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