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Title: Tree-level gluon amplitudes on the celestial sphere

Abstract

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:
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)
OSTI Identifier:
1499168
Grant/Contract Number:  
SC0010010; 376208
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 781; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Schreiber, Anders Ø., Volovich, Anastasia, and Zlotnikov, Michael. Tree-level gluon amplitudes on the celestial sphere. United States: N. p., 2018. 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. Tue . "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}
}

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