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Title: All-helicity symbol alphabets from unwound amplituhedra

Abstract

Here we review an algorithm for determining the branch points of general amplitudes in planar N = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra.

Authors:
 [1];  [2]; ORCiD logo [3];  [1];  [2]
  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:
1502085
Grant/Contract Number:  
SC0010010
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; 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, Stanojevic, Stefan, and Volovich, Anastacia. All-helicity symbol alphabets from unwound amplituhedra. United States: N. p., 2018. Web. doi:10.1007/jhep05(2018)159.
Prlina, Igor, Spradlin, Marcus, Stankowicz, James, Stanojevic, Stefan, & Volovich, Anastacia. All-helicity symbol alphabets from unwound amplituhedra. United States. doi:10.1007/jhep05(2018)159.
Prlina, Igor, Spradlin, Marcus, Stankowicz, James, Stanojevic, Stefan, and Volovich, Anastacia. Fri . "All-helicity symbol alphabets from unwound amplituhedra". United States. doi:10.1007/jhep05(2018)159. https://www.osti.gov/servlets/purl/1502085.
@article{osti_1502085,
title = {All-helicity symbol alphabets from unwound amplituhedra},
author = {Prlina, Igor and Spradlin, Marcus and Stankowicz, James and Stanojevic, Stefan and Volovich, Anastacia},
abstractNote = {Here we review an algorithm for determining the branch points of general amplitudes in planar N = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra.},
doi = {10.1007/jhep05(2018)159},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}

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    Works referencing / citing this record:

    Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
    journal, January 2019


    Emergent unitarity from the amplituhedron
    journal, January 2020


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