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Title: Constructing N$$$$ \mathcal{N} $$$$ = 4 Coulomb branch superamplitudes

Abstract

We study scattering amplitudes of massive BPS states on the Coulomb branch of 4dN = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.

Authors:
 [1];  [2];  [2]
  1. Univ. of California, Santa Barbara, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States)
  2. Univ. of California, Santa Barbara, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1612089
Grant/Contract Number:  
SC0014129
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: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; Scattering Amplitudes; Extended Supersymmetry; Superspaces

Citation Formats

Herderschee, Aidan, Koren, Seth, and Trott, Timothy. Constructing N$$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes. United States: N. p., 2019. Web. doi:10.1007/jhep08(2019)107.
Herderschee, Aidan, Koren, Seth, & Trott, Timothy. Constructing N$$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes. United States. https://doi.org/10.1007/jhep08(2019)107
Herderschee, Aidan, Koren, Seth, and Trott, Timothy. Wed . "Constructing N$$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes". United States. https://doi.org/10.1007/jhep08(2019)107. https://www.osti.gov/servlets/purl/1612089.
@article{osti_1612089,
title = {Constructing N$$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes},
author = {Herderschee, Aidan and Koren, Seth and Trott, Timothy},
abstractNote = {We study scattering amplitudes of massive BPS states on the Coulomb branch of 4dN = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.},
doi = {10.1007/jhep08(2019)107},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}

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