Loop celestial amplitudes for gauge theory and gravity


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ALBAYRAK S., Chowdhury C., Kharel S.

Physical Review D, vol.102, no.12, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 102 Issue: 12
  • Publication Date: 2020
  • Doi Number: 10.1103/physrevd.102.126020
  • Journal Name: Physical Review D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, zbMATH
  • Middle East Technical University Affiliated: No

Abstract

Scattering amplitudes of massless particles in Minkowski space can be expressed in a conformal basis by Mellin transforming the momentum space amplitudes to correlation functions on the celestial sphere at null infinity. In this paper, we study celestial amplitudes of loop-level gluons and gravitons. We focus on the rational amplitudes that carry all-plus and single-minus external helicities. Because these amplitudes are finite, they provide a concrete example of celestial amplitudes of Yang- Mills and gravity theory beyond tree level. We give explicit examples of four- and five-point functions and comment on higher point amplitudes.