Softcollinear supersymmetry
Abstract
SoftCollinear E ective Theory (SCET) is a framework for modeling the infrared structure of theories whose long distance behavior is dominated by soft and collinear divergences. This paper demonstrates that SCET can be made compatible with supersymmetry (SUSY). Explicitly, the e ective Lagrangian for N = 1 SUSY YangMills is constructed and shown to be a complete description for the infrared of this model. For contrast, we also construct the e ective Lagrangian for chiral SUSY theories with Yukawa couplings, speci cally the single avor WessZumino model. Only a subset of the infrared divergences are reproduced by the Lagrangian  to account for the complete low energy description requires the inclusion of local operators. SCET is formulated by expanding elds along a lightlike direction and then subsequently integrating out degreesoffreedom that are away from the lightcone. De ning the theory with respect to a speci c frame obfuscates Lorentz invariance  given that SUSY is a spacetime symmetry, this presents a possible obstruction. The cleanest language with which to expose the congruence between SUSY and SCET requires exploring two novel formalisms: collinear fermions as twocomponent Weyl spinors, and SCET in lightcone gauge. By expressing SUSY Yang Mills in \collinear superspace",more »
 Authors:
 Univ. of Oregon, Eugene, OR (United States)
 Univ. of Oregon, Eugene, OR (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Reed College, Portland, OR (United States); Harvard Univ., Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Oregon, Eugene, OR (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1367172
 Grant/Contract Number:
 SC0012567
 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: 3; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective field theories; Superspaces; Supersymmetric Effective Theories; Supersymmetric gauge theory
Citation Formats
Cohen, Timothy, Elor, Gilly, and Larkoski, Andrew J. Softcollinear supersymmetry. United States: N. p., 2017.
Web. doi:10.1007/JHEP03(2017)017.
Cohen, Timothy, Elor, Gilly, & Larkoski, Andrew J. Softcollinear supersymmetry. United States. doi:10.1007/JHEP03(2017)017.
Cohen, Timothy, Elor, Gilly, and Larkoski, Andrew J. Fri .
"Softcollinear supersymmetry". United States.
doi:10.1007/JHEP03(2017)017. https://www.osti.gov/servlets/purl/1367172.
@article{osti_1367172,
title = {Softcollinear supersymmetry},
author = {Cohen, Timothy and Elor, Gilly and Larkoski, Andrew J.},
abstractNote = {SoftCollinear E ective Theory (SCET) is a framework for modeling the infrared structure of theories whose long distance behavior is dominated by soft and collinear divergences. This paper demonstrates that SCET can be made compatible with supersymmetry (SUSY). Explicitly, the e ective Lagrangian for N = 1 SUSY YangMills is constructed and shown to be a complete description for the infrared of this model. For contrast, we also construct the e ective Lagrangian for chiral SUSY theories with Yukawa couplings, speci cally the single avor WessZumino model. Only a subset of the infrared divergences are reproduced by the Lagrangian  to account for the complete low energy description requires the inclusion of local operators. SCET is formulated by expanding elds along a lightlike direction and then subsequently integrating out degreesoffreedom that are away from the lightcone. De ning the theory with respect to a speci c frame obfuscates Lorentz invariance  given that SUSY is a spacetime symmetry, this presents a possible obstruction. The cleanest language with which to expose the congruence between SUSY and SCET requires exploring two novel formalisms: collinear fermions as twocomponent Weyl spinors, and SCET in lightcone gauge. By expressing SUSY Yang Mills in \collinear superspace", a slice of superspace derived by integrating out half the fermionic coordinates, the lightcone gauge SUSY SCET theory can be written in terms of super elds. As a byproduct, bootstrapping up to the full theory yields the rst algorithmic approach for determining the SUSY YangMills onshell superspace action. As a result, this work paves the way toward discovering the e ective theory for the collinear limit of N = 4 SUSY YangMills.},
doi = {10.1007/JHEP03(2017)017},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2017,
place = {United States},
year = {Fri Mar 03 00:00:00 EST 2017},
month = {Fri Mar 03 00:00:00 EST 2017}
}

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