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Title: Maximally supersymmetric amplitudes at infinite loop momentum

Abstract

We investigate the asymptotically large loop-momentum behavior of multiloop amplitudes in maximally supersymmetric ($N$ = 4, 8) quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in $N$ = 4 supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all n-point MHV amplitudes through three loops. Considering the same test for $N$ = 8 supergravity leads us to discover that this theory does support nonvanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness—which would be automatic at two loops for representation obtained by color-kinematic duality—and gauge invariance—which would follow from unitarity-based methods.

Authors:
 [1];  [2];  [3]
  1. Univ. of Copenhagen, Copenhagen (Denmark)
  2. Stanford Univ., Stanford, CA (United States)
  3. Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Davis, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1526708
Alternate Identifier(s):
OSTI ID: 1600517
Grant/Contract Number:  
AC02-76SF00515; SC0009999
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bourjaily, Jacob L., Herrmann, Enrico, and Trnka, Jaroslav. Maximally supersymmetric amplitudes at infinite loop momentum. United States: N. p., 2019. Web. doi:10.1103/physrevd.99.066006.
Bourjaily, Jacob L., Herrmann, Enrico, & Trnka, Jaroslav. Maximally supersymmetric amplitudes at infinite loop momentum. United States. doi:10.1103/physrevd.99.066006.
Bourjaily, Jacob L., Herrmann, Enrico, and Trnka, Jaroslav. Fri . "Maximally supersymmetric amplitudes at infinite loop momentum". United States. doi:10.1103/physrevd.99.066006. https://www.osti.gov/servlets/purl/1526708.
@article{osti_1526708,
title = {Maximally supersymmetric amplitudes at infinite loop momentum},
author = {Bourjaily, Jacob L. and Herrmann, Enrico and Trnka, Jaroslav},
abstractNote = {We investigate the asymptotically large loop-momentum behavior of multiloop amplitudes in maximally supersymmetric ($N$ = 4, 8) quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in $N$ = 4 supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all n-point MHV amplitudes through three loops. Considering the same test for $N$ = 8 supergravity leads us to discover that this theory does support nonvanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness—which would be automatic at two loops for representation obtained by color-kinematic duality—and gauge invariance—which would follow from unitarity-based methods.},
doi = {10.1103/physrevd.99.066006},
journal = {Physical Review D},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

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