arXiv : No-Scale SU(5) Super-GUTs

Ellis, John; Nanopoulos, Dimitri V.; Olive, Keith A.; Evans, Jason L.; Nagata, Natsumi

doi:10.1140/epjc/s10052-017-4805-x

Article
Report number	arXiv:1702.00379 ; KCL-PH-TH-2017-05 ; CERN-TH-2017-010 ; KIAS-P17008 ; UT-17-03 ; MI-TH-1738 ; UMN-TH-3618-17 ; FTPI-MINN-17-02 ; ACT-01-17
Title	No-Scale SU(5) Super-GUTs
Author(s)	Ellis, John (King's Coll. London ; CERN) ; Evans, Jason L. (Korea Inst. Advanced Study, Seoul) ; Nagata, Natsumi (Tokyo U.) ; Nanopoulos, Dimitri V. (Texas A-M ; HARC, Woodlands ; Athens Academy) ; Olive, Keith A. (Minnesota U.)
Publication	2017-04-12
Imprint	2017-02-01
Number of pages	24
Note	24 pages, 14 figures
In:	Eur. Phys. J. C 77 (2017) 232
DOI	10.1140/epjc/s10052-017-4805-x
Subject category	astro-ph.CO ; Astrophysics and Astronomy ; hep-ph ; Particle Physics - Phenomenology
Abstract	We reconsider the minimal SU(5) Grand Unified Theory (GUT) in the context of no-scale supergravity, 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. 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. However, 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.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2017-2026 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³ preprint: © 2016-2026 CERN (License: CC-BY-4.0)

$\it Sample no-scale super-GUT $(m_{1/2}, \tan \beta)$ planes for $M_{\rm in } = 10^{18}$ GeV. In the left panel $\lambda = -0.1$ and $\lambda^\prime = 2$, whereas in the right panel $\lambda = 1$ and $\lambda^\prime = 10^{-5}$. The brown shaded region has a stau LSP. The regions compatible with the relic density determined by Planck and other experiments are shaded dark blue, and the red dot-dashed curves are contours of constant Higgs mass as calculated using {\tt FeynHiggs}, which does not give stable results in the upper right portions of the panels. In the left panel, the green curves are contours of $c_\Sigma (m_{3/2}/m_{1/2})^2$ and the proton lifetime is too short throughout. In the right panel, the solid black contours show the proton lifetime in units of $10^{35}$ yrs, which is acceptably long below the contour labelled 0.066. However, the relic density is too large throughout this region.$ $\it Sample no-scale super-GUT $(m_{1/2}, \tan \beta)$ planes for $M_{\rm in } = 10^{18}$ GeV. In the left panel $\lambda = -0.1$ and $\lambda^\prime = 2$, whereas in the right panel $\lambda = 1$ and $\lambda^\prime = 10^{-5}$. The brown shaded region has a stau LSP. The regions compatible with the relic density determined by Planck and other experiments are shaded dark blue, and the red dot-dashed curves are contours of constant Higgs mass as calculated using {\tt FeynHiggs}, which does not give stable results in the upper right portions of the panels. In the left panel, the green curves are contours of $c_\Sigma (m_{3/2}/m_{1/2})^2$ and the proton lifetime is too short throughout. In the right panel, the solid black contours show the proton lifetime in units of $10^{35}$ yrs, which is acceptably long below the contour labelled 0.066. However, the relic density is too large throughout this region.$ $\it Examples of $(m_{1/2}, m_1)$ planes for $M_{\rm in } = M_{\rm GUT}$ and $\tan \beta = 7$ when both Higgs 5-plets are twisted. In the left panel, all the modular weights $\alpha_i = \beta_i = 0$, corresponding to $A_{t,b} = m_1$, $A_\lambda = 2 m_{3/2}$, $A_{\lambda'} = 0$, $B_H = 2 m_1$, and $B_\Sigma = 0$. In the right panel, the modular weights are chosen to be $\alpha_{t,b} = 1$, $\alpha_\lambda = 2$, $\alpha_{\lambda'} = 0$, $\beta_H = 2$ and $\beta_\Sigma = 0$, corresponding to $A_0 = B_0 = 0$. The shadings and contour colours are the same as in Fig.~\protect\ref{fig:superGM}. The pink shaded region corresponds to parameter choices where the electroweak vacuum conditions cannot be satisfied and radiative electroweak symmetry breaking is not possible.$ Show more plots

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