New Higgs Inflation in a No-Scale Supersymmetric SU(5) GUT

Article
Report number	arXiv:1411.5537 ; KCL-PH-TH-2014-48 ; LCTS-2014-49 ; CERN-PH-TH-2014-230 ; KCL-PH-TH-2014-48 ; LCTS-2014-49 ; CERN-PH-TH-2014-230
Title	New Higgs Inflation in a No-Scale Supersymmetric SU(5) GUT
Author(s)	Ellis, John (CERN ; King's Coll. London) ; He, Hong-Jian (Peking U., CHEP ; Tsinghua U., Beijing ; Tsinghua U., Beijing, CHEP) ; Xianyu, Zhong-Zhi (Peking U., CHEP ; Tsinghua U., Beijing ; Tsinghua U., Beijing, CHEP)
Publication	2015-01-21
Imprint	20 Nov 2014
Number of pages	6
Note	Comments: PRD-Rapid Communication, final version, 6pp, only minor rewordings and Refs added PRD-Rapid Communication, final version, 6pp, only minor rewordings and Refs added
In:	Phys. Rev. D 91 (2015) 021302
DOI	10.1103/PhysRevD.91.021302
Subject category	Particle Physics - Phenomenology
Abstract	Higgs inflation is attractive because it identifies the inflaton with the electroweak Higgs boson. In this work, we construct a new class of supersymmetric Higgs inflationary models in the no-scale supergravity with an SU(5) GUT group. Extending the no-scale Kahler potential and SU(5) GUT superpotential, we derive a generic potential for Higgs inflation that includes the quadratic monomial potential and a Starobinsky-type potential as special limits. This type of models can accommodate a wide range of the tensor-to-scalar ratio $r = O(10^{-3}-10^{-1})$, as well as a scalar spectral index $n_s \sim 0.96$.
Copyright/License	preprint: © 2014-2024 CERN (License: CC-BY-3.0) publication: © 2015-2024 The Author(s) (License: CC-BY-3.0)

$\it The predictions of our no-scale SUSY GUT model of Higgs inflation for the spectral index $\,n_s^{}$ and tensor-to-scalar ratio $\,r\,$.\, The green (yellow) dots and curves represent predictions with 50\,(60) $e$-foldings. In plot (a), the condition $\,\be_2^{}=\fr{1}{3}\be_1^{}(1-\zeta)u^2$\, is imposed and the round (square) dots correspond to $\,\zeta =0~(\zeta =1)$.\, The horizontal strips attached to the lower round dots correspond to the effect of varying $\,\zeta\in [0, 0.1]\,$ (from right to left), while the upper strips attached to the square dots depict the effect of varying $\,\zeta\in [0.9, 1]\,$ (from left to right). In plot (b), the three pairs of dots from top to bottom correspond to $\,\zeta =(1,\,0.98,\,0.95)$\, and $\,\de=0\,$.\, The strip attached to each round dot describes the effect of varying $\,\de\,$ over the range $\,\pm \, (1.2 \!\times\! 10^{-3})\,$,\, via the shifted relation $\,\be_2^{}=\fr{1}{3}\be_1^{}(1-\zeta+\de )u^2$.\, In each plot, the shaded red and blue (pink and light-blue) contours represent the observational limits at 68\% (\,95\%\,) confidence level as given by Ref.\,\cite{cmb2}.$ $\it The predictions of our no-scale SUSY GUT model of Higgs inflation for the spectral index $\,n_s^{}$ and tensor-to-scalar ratio $\,r\,$.\, The green (yellow) dots and curves represent predictions with 50\,(60) $e$-foldings. In plot (a), the condition $\,\be_2^{}=\fr{1}{3}\be_1^{}(1-\zeta)u^2$\, is imposed and the round (square) dots correspond to $\,\zeta =0~(\zeta =1)$.\, The horizontal strips attached to the lower round dots correspond to the effect of varying $\,\zeta\in [0, 0.1]\,$ (from right to left), while the upper strips attached to the square dots depict the effect of varying $\,\zeta\in [0.9, 1]\,$ (from left to right). In plot (b), the three pairs of dots from top to bottom correspond to $\,\zeta =(1,\,0.98,\,0.95)$\, and $\,\de=0\,$.\, The strip attached to each round dot describes the effect of varying $\,\de\,$ over the range $\,\pm \, (1.2 \!\times\! 10^{-3})\,$,\, via the shifted relation $\,\be_2^{}=\fr{1}{3}\be_1^{}(1-\zeta+\de )u^2$.\, In each plot, the shaded red and blue (pink and light-blue) contours represent the observational limits at 68\% (\,95\%\,) confidence level as given by Ref.\,\cite{cmb2}.$

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