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Title: No-scale SU( 5) super-GUTs

Abstract

We reconsider the minimal SU( 5) grand unified theory (GUT) in the context of no-scale supergravity inspired by string compactification scenarios, assuming that the soft supersymmetry-breaking parameters satisfy universality conditions at some input scale M in above the GUT scale M GUT. When setting up such a no-scale super-GUT model, special attention must be paid to avoiding the Scylla of rapid proton decay and the Charybdis of an excessive density of cold dark matter, while also having an acceptable mass for the Higgs boson. Furthermore, we do not find consistent solutions if none of the matter and Higgs fields are assigned to twisted chiral supermultiplets, even in the presence of Giudice–Masiero terms. But, consistent solutions may be found if at least one fiveplet of GUT Higgs fields is assigned to a twisted chiral supermultiplet, with a suitable choice of modular weights. Spin-independent dark matter scattering may be detectable in some of these consistent solutions.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. King's College London (United Kingdom). Dept. of Physics; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
  2. Korea Institute for Advanced Study (KIAS), Seoul (Korea)
  3. Univ. of Tokyo (Japan). Dept. of Physics
  4. Texas A & M Univ., College Station, TX (United States).. George P. and Cynthia W. Mitchell Inst. for Fundamental Physics and Astronomy; Houston Advanced Research Center (HARC), Woodlands, TX (United States); Academy of Athens (Greece). Division of Natural Sciences
  5. Univ. of Minnesota, Minneapolis, MN (United States). School of Physics adn Astronomy
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1368392
Grant/Contract Number:
SC0011842; FG02-13ER42020
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 4; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ellis, John, Evans, Jason L., Nagata, Natsumi, Nanopoulos, Dimitri V., and Olive, Keith A. No-scale SU(5) super-GUTs. United States: N. p., 2017. Web. doi:10.1140/epjc/s10052-017-4805-x.
Ellis, John, Evans, Jason L., Nagata, Natsumi, Nanopoulos, Dimitri V., & Olive, Keith A. No-scale SU(5) super-GUTs. United States. doi:10.1140/epjc/s10052-017-4805-x.
Ellis, John, Evans, Jason L., Nagata, Natsumi, Nanopoulos, Dimitri V., and Olive, Keith A. Wed . "No-scale SU(5) super-GUTs". United States. doi:10.1140/epjc/s10052-017-4805-x. https://www.osti.gov/servlets/purl/1368392.
@article{osti_1368392,
title = {No-scale SU(5) super-GUTs},
author = {Ellis, John and Evans, Jason L. and Nagata, Natsumi and Nanopoulos, Dimitri V. and Olive, Keith A.},
abstractNote = {We reconsider the minimal SU(5) grand unified theory (GUT) in the context of no-scale supergravity inspired by string compactification scenarios, assuming that the soft supersymmetry-breaking parameters satisfy universality conditions at some input scale Min above the GUT scale MGUT. When setting up such a no-scale super-GUT model, special attention must be paid to avoiding the Scylla of rapid proton decay and the Charybdis of an excessive density of cold dark matter, while also having an acceptable mass for the Higgs boson. Furthermore, we do not find consistent solutions if none of the matter and Higgs fields are assigned to twisted chiral supermultiplets, even in the presence of Giudice–Masiero terms. But, consistent solutions may be found if at least one fiveplet of GUT Higgs fields is assigned to a twisted chiral supermultiplet, with a suitable choice of modular weights. Spin-independent dark matter scattering may be detectable in some of these consistent solutions.},
doi = {10.1140/epjc/s10052-017-4805-x},
journal = {European Physical Journal. C, Particles and Fields},
number = 4,
volume = 77,
place = {United States},
year = {Wed Apr 12 00:00:00 EDT 2017},
month = {Wed Apr 12 00:00:00 EDT 2017}
}

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Free Publicly Available Full Text
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  • It is shown that the minimal renormalizable supersymmetric SU(5) is still realistic providing the supersymmetric scale is at least few tens of TeV or large R-parity violating terms are considered. In the first case the vacuum is metastable, and different consistency constraints can give a bounded allowed region in the tan β − m{sub susy} plane. In the second case the mass eigenstate electron (down quark) is a linear combination of the original electron (down quark) and Higgsino (heavy colour triplet), and the mass ratio of bino and wino is determined. Both limits lead to light gravitino dark matter.
  • Here, we perform a likelihood analysis of the constraints from accelerator experiments and astrophysical observations on supersymmetric (SUSY) models with SU(5) boundary conditions on soft SUSY-breaking parameters at the GUT scale. The parameter space of the models studied has 7 parameters: a universal gaugino massmore » $$m_{1/2}$$, distinct masses for the scalar partners of matter fermions in five- and ten-dimensional representations of SU(5), $$m_5$$ and $$m_{10}$$, and for the $$\mathbf{5}$$ and $$\mathbf{\bar 5}$$ Higgs representations $$m_{H_u}$$ and $$m_{H_d}$$, a universal trilinear soft SUSY-breaking parameter $$A_0$$, and the ratio of Higgs vevs $$\tan \beta$$. In addition to previous constraints from direct sparticle searches, low-energy and flavour observables, we incorporate constraints based on preliminary results from 13 TeV LHC searches for jets + MET events and long-lived particles, as well as the latest PandaX-II and LUX searches for direct Dark Matter detection. In addition to previously-identified mechanisms for bringing the supersymmetric relic density into the range allowed by cosmology, we identify a novel $${\tilde u_R}/{\tilde c_R} - \tilde{\chi}^0_1$$ coannihilation mechanism that appears in the supersymmetric SU(5) GUT model and discuss the role of $${\tilde \nu_\tau}$$ coannihilation. We find complementarity between the prospects for direct Dark Matter detection and SUSY searches at the LHC.« less
  • Here, we perform a likelihood analysis of the constraints from accelerator experiments and astrophysical observations on supersymmetric (SUSY) models with SU(5) boundary conditions on soft SUSY-breaking parameters at the GUT scale. The parameter space of the models studied has 7 parameters: a universal gaugino massmore » $$m_{1/2}$$, distinct masses for the scalar partners of matter fermions in five- and ten-dimensional representations of SU(5), $$m_5$$ and $$m_{10}$$, and for the $$\mathbf{5}$$ and $$\mathbf{\bar 5}$$ Higgs representations $$m_{H_u}$$ and $$m_{H_d}$$, a universal trilinear soft SUSY-breaking parameter $$A_0$$, and the ratio of Higgs vevs $$\tan \beta$$. In addition to previous constraints from direct sparticle searches, low-energy and flavour observables, we incorporate constraints based on preliminary results from 13 TeV LHC searches for jets + MET events and long-lived particles, as well as the latest PandaX-II and LUX searches for direct Dark Matter detection. In addition to previously-identified mechanisms for bringing the supersymmetric relic density into the range allowed by cosmology, we identify a novel $${\tilde u_R}/{\tilde c_R} - \tilde{\chi}^0_1$$ coannihilation mechanism that appears in the supersymmetric SU(5) GUT model and discuss the role of $${\tilde \nu_\tau}$$ coannihilation. We find complementarity between the prospects for direct Dark Matter detection and SUSY searches at the LHC.« less
  • The authors discuss symmetry breaking and phenomenological aspects of rank 6 effective models in 4 dimensions, suggested by Calabi-Yau compactification of the heterotic E/sub 8/ x E/sub 8/ superstring, which have gauge group SU(3)/sub C/ x SU(2)/sub L/ x SU(2) x U(1)'. The simplest and most natural form of electroweak symmetry breaking for the softly broken effective SUSY theory is considered, and only those additions and alterations to the 27/sup 3/ based superpotential necessary to eliminate phenomenological problems are made. There are two physically distinct additional SU(2) factors, SU(2)/sub N/ and SU(2)/sub R/. The former has all gauge bosons electricallymore » neutral, the latter both charged and neutral. The additional SU(2) symmetry implies that large Dirac neutrino masses must be eliminated by a see-saw mechanism requiring the introduction of an E/sub 6/ singlet per generation and an intermediate scale of symmetry breaking M/sub I/(/ge/10/sup 10/ GeV). The intermediate scale symmetry breaking together with the couplings involving E/sub 6/ singlets needed for the see-saw mechanism unambiguously determines the form of the superpotential describing physics at low scales /approx/ 1 TeV. All additional heavy charge -1/3 quarks and additional Higgs doublets have masses /approx/ 1 TeV. An additional U(1)/sub E/ remains unbroken down to the 1 TeV scale. The resulting effective theories have no U(1)/sub E/ mediated FCNC due to mixing of heavy and light charge -1/3 quarks. Some couplings must be eliminated in order to prevent rapid nucleon decay.« less