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Title: Boundaries of amplituhedra and NMHV symbol alphabets at two loops

Abstract

In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar N = 4 super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. Here we determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes.

Authors:
 [1];  [2]; ORCiD logo [3];  [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
  3. Brown Univ., Providence, RI (United States). Dept. of Physics; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502077
Grant/Contract Number:  
SC0010010
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Supersymmetric Gauge Theory

Citation Formats

Prlina, Igor, Spradlin, Marcus, Stankowicz, James, and Stanojevic, Stefan. Boundaries of amplituhedra and NMHV symbol alphabets at two loops. United States: N. p., 2018. Web. doi:10.1007/jhep04(2018)049.
Prlina, Igor, Spradlin, Marcus, Stankowicz, James, & Stanojevic, Stefan. Boundaries of amplituhedra and NMHV symbol alphabets at two loops. United States. doi:10.1007/jhep04(2018)049.
Prlina, Igor, Spradlin, Marcus, Stankowicz, James, and Stanojevic, Stefan. Tue . "Boundaries of amplituhedra and NMHV symbol alphabets at two loops". United States. doi:10.1007/jhep04(2018)049. https://www.osti.gov/servlets/purl/1502077.
@article{osti_1502077,
title = {Boundaries of amplituhedra and NMHV symbol alphabets at two loops},
author = {Prlina, Igor and Spradlin, Marcus and Stankowicz, James and Stanojevic, Stefan},
abstractNote = {In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar N = 4 super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. Here we determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes.},
doi = {10.1007/jhep04(2018)049},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
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