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Title: Landau singularities from the amplituhedron

Abstract

We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N = 4 super-Yang-Mills theory directly from the amplituhedron, without resorting to any particular representation in terms of local Feynman integrals. This represents a step towards translating integrands directly into integrals. In particular, the algorithm provides information about the symbol alphabets of general amplitudes. We illustrate the algorithm applied to the one- and two-loop MHV amplitudes.

Authors:
 [1];  [2];  [2];  [2];  [2]
  1. Brown Univ., Providence, RI (United States); Google Inc., Mountain View, CA (United States)
  2. Brown Univ., Providence, RI (United States)
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1424013
Grant/Contract Number:  
sc0010010
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Scattering Amplitudes

Citation Formats

Dennen, T., Prlina, I., Spradlin, M., Stanojevic, S., and Volovich, A. Landau singularities from the amplituhedron. United States: N. p., 2017. Web. doi:10.1007/JHEP06(2017)152.
Dennen, T., Prlina, I., Spradlin, M., Stanojevic, S., & Volovich, A. Landau singularities from the amplituhedron. United States. doi:10.1007/JHEP06(2017)152.
Dennen, T., Prlina, I., Spradlin, M., Stanojevic, S., and Volovich, A. Wed . "Landau singularities from the amplituhedron". United States. doi:10.1007/JHEP06(2017)152. https://www.osti.gov/servlets/purl/1424013.
@article{osti_1424013,
title = {Landau singularities from the amplituhedron},
author = {Dennen, T. and Prlina, I. and Spradlin, M. and Stanojevic, S. and Volovich, A.},
abstractNote = {We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N = 4 super-Yang-Mills theory directly from the amplituhedron, without resorting to any particular representation in terms of local Feynman integrals. This represents a step towards translating integrands directly into integrals. In particular, the algorithm provides information about the symbol alphabets of general amplitudes. We illustrate the algorithm applied to the one- and two-loop MHV amplitudes.},
doi = {10.1007/JHEP06(2017)152},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = {Wed Jun 28 00:00:00 EDT 2017},
month = {Wed Jun 28 00:00:00 EDT 2017}
}

Journal Article:
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Cited by: 3 works
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