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Title: Tree-level gluon amplitudes on the celestial sphere

Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are given by generalized hypergeometric functions on the Grassmannian G r ( 4 , n ) , while generic non-MHV amplitudes are given by more complicated Gelfand A-hypergeometric functions.
Authors:
 [1] ;  [2] ; ORCiD logo [1]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics
  2. Brown Univ., Providence, RI (United States). Dept. of Physics; Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Grant/Contract Number:
SC0010010; 376208
Type:
Accepted Manuscript
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 781; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Brown Univ., Providence, RI (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Simons Foundation (United States)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1499168

Schreiber, Anders Ø., Volovich, Anastasia, and Zlotnikov, Michael. Tree-level gluon amplitudes on the celestial sphere. United States: N. p., Web. doi:10.1016/j.physletb.2018.04.010.
Schreiber, Anders Ø., Volovich, Anastasia, & Zlotnikov, Michael. Tree-level gluon amplitudes on the celestial sphere. United States. doi:10.1016/j.physletb.2018.04.010.
Schreiber, Anders Ø., Volovich, Anastasia, and Zlotnikov, Michael. 2018. "Tree-level gluon amplitudes on the celestial sphere". United States. doi:10.1016/j.physletb.2018.04.010. https://www.osti.gov/servlets/purl/1499168.
@article{osti_1499168,
title = {Tree-level gluon amplitudes on the celestial sphere},
author = {Schreiber, Anders Ø. and Volovich, Anastasia and Zlotnikov, Michael},
abstractNote = {Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are given by generalized hypergeometric functions on the Grassmannian Gr(4,n), while generic non-MHV amplitudes are given by more complicated Gelfand A-hypergeometric functions.},
doi = {10.1016/j.physletb.2018.04.010},
journal = {Physics Letters. Section B},
number = ,
volume = 781,
place = {United States},
year = {2018},
month = {4}
}