Abstract
Using the techniques of dimensional deconstruction, we present 4D models that fully reproduce the physics of 5D supersymmetric theories compactified on an \( {S}^1/{\mathrm{\mathbb{Z}}}_2 \) orbifold with general Scherk-Schwarz supersymmetry breaking (SSSB) boundary conditions. In contrast to previous approaches, our deconstruction involves only soft supersymmetry breaking. Deconstruction preserves many of the attractive features of SSSB without the cumbersome architecture of a full fifth dimension, ambiguity of the ultraviolet completion, or challenges associated with stabilizing a large radius of compactification. We proceed to deconstruct various five-dimensional models featuring Scherk-Schwarz boundary conditions, including folded supersymmetry.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Updated coupling measurements of the Higgs boson with the ATLAS detector using up to 25 fb−1 of proton-proton collision data, ATLAS-CONF-2014-009, CERN, Geneva Switzerland (2014).
CMS collaboration, Combination of standard model Higgs boson searches and measurements of the properties of the new boson with a mass near 125 GeV, CMS-PAS-HIG-13-005, CERN, Geneva Switzerland (2013).
ATLAS collaboration, Searches for direct scalar top pair production in final states with two leptons using the stransverse mass variable and a multivariate analysis technique in \( \sqrt{s}=8 \) TeV pp collisions using 20.3fb−1 of ATLAS data, ATLAS-CONF-2013-065, CERN, Geneva Switzerland (2013).
ATLAS collaboration, Search for direct top squark pair production in final states with one isolated lepton, jets and missing transverse momentum in \( \sqrt{s}=8 \) TeV pp collisions using 21 fb−1 of ATLAS data, ATLAS-CONF-2013-037, CERN, Geneva Switzerland (2013).
ATLAS collaboration, Search for direct production of the top squark in the all-hadronic \( t\overline{t} \) + etmiss final state in 21 fb−1 of pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, ATLAS-CONF-2013-024, CERN, Geneva Switzerland (2013).
CMS collaboration, Search for supersymmetry in pp collisions at \( \sqrt{s}=8 \) TeV in events with a single lepton, large jet multiplicity and multiple b jets, Phys. Lett. B 733 (2014) 328 [arXiv:1311.4937] [INSPIRE].
CMS collaboration, Search for top-squark pair production in the single-lepton final state in pp collisions at \( \sqrt{s}=8 \) TeV, Eur. Phys. J. C 73 (2013) 2677 [arXiv:1308.1586] [INSPIRE].
CMS collaboration, Inclusive search for a vector-like T quark with charge 2/3 in pp collisions at \( \sqrt{s}=8 \) TeV, Phys. Lett. B 729 (2014) 149 [arXiv:1311.7667] [INSPIRE].
ATLAS collaboration, Search for supersymmetry at \( \sqrt{s}=8 \) TeV in final states with jets and two same-sign leptons or three leptons with the ATLAS detector, JHEP 06 (2014) 035 [arXiv:1404.2500] [INSPIRE].
ATLAS collaboration, Search for new phenomena in final states with large jet multiplicities and missing transverse momentum at \( \sqrt{s}=8 \) TeV proton-proton collisions using the ATLAS experiment, JHEP 10 (2013) 130 [Erratum ibid. 01 (2014) 109] [arXiv:1308.1841] [INSPIRE].
CMS collaboration, Search for gluino mediated bottom- and top-squark production in multijet final states in pp collisions at 8 TeV, Phys. Lett. B 725 (2013) 243 [arXiv:1305.2390] [INSPIRE].
CMS collaboration, Search for new physics in the multijet and missing transverse momentum final state in proton-proton collisions at \( \sqrt{s}=8 \) TeV, JHEP 06 (2014) 055 [arXiv:1402.4770] [INSPIRE].
N. Craig, The state of supersymmetry after run I of the LHC, arXiv:1309.0528 [INSPIRE].
T.J. LeCompte and S.P. Martin, Large Hadron Collider reach for supersymmetric models with compressed mass spectra, Phys. Rev. D 84 (2011) 015004 [arXiv:1105.4304] [INSPIRE].
G.D. Kribs and A. Martin, Supersoft supersymmetry is super-safe, Phys. Rev. D 85 (2012) 115014 [arXiv:1203.4821] [INSPIRE].
S. Kachru and E. Silverstein, 4D conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 (1998) 4855 [hep-th/9802183] [INSPIRE].
A.E. Lawrence, N. Nekrasov and C. Vafa, On conformal field theories in four-dimensions, Nucl. Phys. B 533 (1998) 199 [hep-th/9803015] [INSPIRE].
M. Bershadsky, Z. Kakushadze and C. Vafa, String expansion as large-N expansion of gauge theories, Nucl. Phys. B 523 (1998) 59 [hep-th/9803076] [INSPIRE].
Z. Kakushadze, Gauge theories from orientifolds and large-N limit, Nucl. Phys. B 529 (1998) 157 [hep-th/9803214] [INSPIRE].
M. Bershadsky and A. Johansen, Large-N limit of orbifold field theories, Nucl. Phys. B 536 (1998) 141 [hep-th/9803249] [INSPIRE].
M. Schmaltz, Duality of nonsupersymmetric large-N gauge theories, Phys. Rev. D 59 (1999) 105018 [hep-th/9805218] [INSPIRE].
Z. Chacko, H.-S. Goh and R. Harnik, The twin Higgs: natural electroweak breaking from mirror symmetry, Phys. Rev. Lett. 96 (2006) 231802 [hep-ph/0506256] [INSPIRE].
G. Burdman, Z. Chacko, H.-S. Goh and R. Harnik, Folded supersymmetry and the LEP paradox, JHEP 02 (2007) 009 [hep-ph/0609152] [INSPIRE].
J. Scherk and J.H. Schwarz, Spontaneous breaking of supersymmetry through dimensional reduction, Phys. Lett. B 82 (1979) 60 [INSPIRE].
A. Pomarol and M. Quirós, The standard model from extra dimensions, Phys. Lett. B 438 (1998) 255 [hep-ph/9806263] [INSPIRE].
I. Antoniadis, S. Dimopoulos, A. Pomarol and M. Quirós, Soft masses in theories with supersymmetry breaking by TeV compactification, Nucl. Phys. B 544 (1999) 503 [hep-ph/9810410] [INSPIRE].
A. Delgado, A. Pomarol and M. Quirós, Supersymmetry and electroweak breaking from extra dimensions at the TeV scale, Phys. Rev. D 60 (1999) 095008 [hep-ph/9812489] [INSPIRE].
R. Barbieri, L.J. Hall and Y. Nomura, A constrained standard model from a compact extra dimension, Phys. Rev. D 63 (2001) 105007 [hep-ph/0011311] [INSPIRE].
R. Barbieri, L.J. Hall and Y. Nomura, Models of Scherk-Schwarz symmetry breaking in 5D: classification and calculability, Nucl. Phys. B 624 (2002) 63 [hep-th/0107004] [INSPIRE].
H. Murayama, Y. Nomura, S. Shirai and K. Tobioka, Compact supersymmetry, Phys. Rev. D 86 (2012) 115014 [arXiv:1206.4993] [INSPIRE].
S. Dimopoulos, K. Howe and J. March-Russell, Maximally natural supersymmetry, Phys. Rev. Lett. 113 (2014) 111802 [arXiv:1404.7554] [INSPIRE].
E. Ponton and E. Poppitz, Casimir energy and radius stabilization in five-dimensional orbifolds and six-dimensional orbifolds, JHEP 06 (2001) 019 [hep-ph/0105021] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-mode polarization at degree angular scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Twisted supersymmetry and the topology of theory space, JHEP 07 (2002) 020 [hep-th/0109082] [INSPIRE].
C. Csáki, J. Erlich, C. Grojean and G.D. Kribs, 4D constructions of supersymmetric extra dimensions and gaugino mediation, Phys. Rev. D 65 (2002) 015003 [hep-ph/0106044] [INSPIRE].
C. Csáki, G.D. Kribs and J. Terning, 4D models of Scherk-Schwarz GUT breaking via deconstruction, Phys. Rev. D 65 (2002) 015004 [hep-ph/0107266] [INSPIRE].
H.C. Cheng, D.E. Kaplan, M. Schmaltz and W. Skiba, Deconstructing gaugino mediation, Phys. Lett. B 515 (2001) 395 [hep-ph/0106098] [INSPIRE].
T. Kobayashi, N. Maru and K. Yoshioka, 4D construction of bulk supersymmetry breaking, Eur. Phys. J. C 29 (2003) 277 [hep-ph/0110117] [INSPIRE].
A. Falkowski, C. Grojean and S. Pokorski, Soft electroweak breaking from hard supersymmetry breaking, Phys. Lett. B 535 (2002) 258 [hep-ph/0203033] [INSPIRE].
A. Iqbal and V.S. Kaplunovsky, Quantum deconstruction of a 5D SYM and its moduli space, JHEP 05 (2004) 013 [hep-th/0212098] [INSPIRE].
A.G. Cohen, D.B. Kaplan, E. Katz and M. Ünsal, Supersymmetry on a Euclidean space-time lattice. 1. A target theory with four supercharges, JHEP 08 (2003) 024 [hep-lat/0302017] [INSPIRE].
E. Dudas, A. Falkowski and S. Pokorski, Deconstructed U(1) and supersymmetry breaking, Phys. Lett. B 568 (2003) 281 [hep-th/0303155] [INSPIRE].
E. Di Napoli and V.S. Kaplunovsky, Quantum deconstruction of 5D SQCD, JHEP 03 (2007) 092 [hep-th/0611085] [INSPIRE].
D. Marti and A. Pomarol, Supersymmetric theories with compact extra dimensions in N = 1 superfields, Phys. Rev. D 64 (2001) 105025 [hep-th/0106256] [INSPIRE].
D.E. Kaplan and N. Weiner, Radion mediated supersymmetry breaking as a Scherk-Schwarz theory, hep-ph/0108001 [INSPIRE].
R. Barbieri, L.J. Hall and Y. Nomura, Softly broken supersymmetric desert from orbifold compactification, Phys. Rev. D 66 (2002) 045025 [hep-ph/0106190] [INSPIRE].
L. Randall, Y. Shadmi and N. Weiner, Deconstruction and gauge theories in AdS 5, JHEP 01 (2003) 055 [hep-th/0208120] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1406.4880
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Craig, N., Lou, H.K. Scherk-Schwarz supersymmetry breaking in 4D. J. High Energ. Phys. 2014, 184 (2014). https://doi.org/10.1007/JHEP12(2014)184
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2014)184