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Title: Supersymmetry without the desert

Abstract

Naturalness of electroweak symmetry breaking in weak scale supersymmetric theories may suggest the absence of the conventional supersymmetric desert. We present a simple, realistic framework for supersymmetry in which (most of) the virtues of the supersymmetric desert are naturally reproduced without having a large energy interval above the weak scale. The successful supersymmetric prediction for the low-energy gauge couplings is reproduced due to a gauged R symmetry present in the effective theory at the weak scale. The observable sector superpotential naturally takes the form of the next-to-minimal supersymmetric standard model, but without being subject to the Landau pole constraints up to the conventional unification scale. Supersymmetry breaking masses are generated by the F-term and D-term vacuum expectation values of singlet and U(1){sub R} gauge fields, as well as by anomaly mediation, at a scale not far above the weak scale. We study the resulting pattern of supersymmetry breaking masses in detail and find that it can be quite distinct. We construct classes of explicit models within this framework, based on higher-dimensional unified theories with TeV-sized extra dimensions. A similar model based on a non-R symmetry is also presented. These models have a rich phenomenology at the TeV scale, and allowmore » for detailed analyses of, e.g., electroweak symmetry breaking.« less

Authors:
;  [1]
  1. Department of Physics, University of California, Berkeley, California 94720 (United States) and Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
Publication Date:
OSTI Identifier:
20933254
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.015005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; MASS; STANDARD MODEL; SUPERSYMMETRY; SYMMETRY BREAKING; TEV RANGE 01-10

Citation Formats

Nomura, Yasunori, and Poland, David. Supersymmetry without the desert. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.015005.
Nomura, Yasunori, & Poland, David. Supersymmetry without the desert. United States. doi:10.1103/PHYSREVD.75.015005.
Nomura, Yasunori, and Poland, David. Mon . "Supersymmetry without the desert". United States. doi:10.1103/PHYSREVD.75.015005.
@article{osti_20933254,
title = {Supersymmetry without the desert},
author = {Nomura, Yasunori and Poland, David},
abstractNote = {Naturalness of electroweak symmetry breaking in weak scale supersymmetric theories may suggest the absence of the conventional supersymmetric desert. We present a simple, realistic framework for supersymmetry in which (most of) the virtues of the supersymmetric desert are naturally reproduced without having a large energy interval above the weak scale. The successful supersymmetric prediction for the low-energy gauge couplings is reproduced due to a gauged R symmetry present in the effective theory at the weak scale. The observable sector superpotential naturally takes the form of the next-to-minimal supersymmetric standard model, but without being subject to the Landau pole constraints up to the conventional unification scale. Supersymmetry breaking masses are generated by the F-term and D-term vacuum expectation values of singlet and U(1){sub R} gauge fields, as well as by anomaly mediation, at a scale not far above the weak scale. We study the resulting pattern of supersymmetry breaking masses in detail and find that it can be quite distinct. We construct classes of explicit models within this framework, based on higher-dimensional unified theories with TeV-sized extra dimensions. A similar model based on a non-R symmetry is also presented. These models have a rich phenomenology at the TeV scale, and allow for detailed analyses of, e.g., electroweak symmetry breaking.},
doi = {10.1103/PHYSREVD.75.015005},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}
  • Naturalness of electroweak symmetry breaking in weak scale supersymmetric theories may suggest the absence of the conventional supersymmetric desert. We present a simple, realistic framework for supersymmetry in which (most of) the virtues of the supersymmetric desert are naturally reproduced without having a large energy interval above the weak scale. The successful supersymmetric prediction for the low-energy gauge couplings is reproduced due to a gauged R symmetry present in the effective theory at the weak scale. The observable sector superpotential naturally takes the form of the next-to-minimal supersymmetric standard model, but without being subject to the Landau pole constraints upmore » to the conventional unification scale. Supersymmetry breaking masses are generated by the F-term and D-term VEVs of singlet and U(1){sub R} gauge fields, as well as by anomaly mediation, at a scale not far above the weak scale. We study the resulting pattern of supersymmetry breaking masses in detail, and find that it can be quite distinct. We construct classes of explicit models within this framework, based on higher dimensional unified theories with TeV-sized extra dimensions. A similar model based on a non-R symmetry is also presented. These models have a rich phenomenology at the TeV scale, and allow for detailed analyses of, e.g., electroweak symmetry breaking.« less
  • An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has local degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the supersymmetry of supergravity. The Hamiltonian 3+1 decomposition of the theory reveals the remarkable feature that the local supersymmetry is a consequence of Yang-Mills symmetry, in a manner reminiscent of how general coordinate invariance in Chern-Simons theory is a consequence of Yang-Mills symmetry. It is possible to write down an infinite number of conserved currents, which strongly suggests that the theory is classically integrable. A possible scheme for nonperturbativemore » quantization is outlined. This utilizes ideas that have been developed and applied recently to the problem of quantizing gravity. {copyright} {ital 1996 The American Physical Society.}« less
  • We investigate supersymmetric models where neither {ital R} parity nor lepton number is imposed. Neutrino masses can be kept highly suppressed compared to the electroweak scale if the {mu} terms in the superpotential are aligned with the SUSY-breaking bilinear {ital B} terms. This situation arises naturally in the framework of horizontal symmetries. The same symmetries suppress the trilinear {ital R}-parity-violating terms in the superpotential to an acceptable level.
  • Within a group-theoretical approach to the description of (2+1)-dimensional anyons, the minimal covariant set of linear differential equations is constructed for the fractional spin fields with the help of the deformed Heisenberg algebra (DHA), [{ital a}{sup {minus}},{ital a}{sup +}]=1+{nu}{ital K}, involving the Klein operator {ital K}, {l_brace}{ital K},{ital a}{sup {plus_minus}}{r_brace}=0, {ital K}{sup 2}=1. The connection of the minimal set of equations with the earlier proposed {open_quote}{open_quote}universal{close_quote}{close_quote} vector set of anyon equations is established. On the basis of this algebra, a bosonization of supersymmetric quantum mechanics is carried out. The construction comprises the cases of exact and spontaneously broken {ital N}=2more » supersymmetry allowing us to realize a Bose{endash}Fermi transformation and spin-1/2 representation of SU(2) group in terms of one bosonic oscillator. The construction admits an extension to the case of OSp(2{parallel}2) supersymmetry, and, as a consequence, both applications of the DHA turn out to be related. The possibility of {open_quote}{open_quote}superimposing{close_quote}{close_quote} the two applications of the DHA for constructing a supersymmetric (2+1)-dimensional anyon system is discussed. As a consequential result we point out that the {ital osp}(2{parallel}2) superalgebra is realizable as an operator algebra for a quantum mechanical 2-body (nonsupersymmetric) Calogero model. Copyright {copyright} 1996 Academic Press, Inc.« less
  • We investigate low-energy models of supersymmetry (SUSY) breaking by means of vectorlike gauge theories for dynamical SUSY breaking. It is not necessary to introduce messenger gauge interactions utilized so far to mediate the SUSY breaking to the standard-model sector, which reduces complications in the model building. We also consider various other ways of SUSY-breaking transmission. {copyright} {ital 1997} {ital The American Physical Society}