Higgs Inflation, Reheating and Gravitino Production in No-Scale Supersymmetric GUTs

Article
Report number	arXiv:1606.02202 ; KCL-PH-TH-2016-33 ; CERN-TH-2016-134 ; KCL-PH-TH-2016-33 ; CERN-TH-2016-134
Title	Higgs Inflation, Reheating and Gravitino Production in No-Scale Supersymmetric GUTs
Related title	Higgs Inflation, Reheating and Gravitino Production in No-Scale Supersymmetric GUTs
Author(s)	Ellis, John (King's Coll. London ; CERN) ; He, Hong-Jian (Tsinghua U., Beijing, CHEP ; Peking U., CHEP) ; Xianyu, Zhong-Zhi (Harvard U., Dept. Math. ; Harvard U., Phys. Dept.)
Publication	2016-08-30
Imprint	07 Jun 2016
Number of pages	21
Note	Comments: 21 pages, 3 figures JCAP Final Version. 23pp, 3 Figs. Only minor refinements, references added
In:	JCAP 08 (2016) 068
DOI	10.1088/1475-7516/2016/08/068
Subject category	Particle Physics - Phenomenology
Abstract	We extend our previous study of supersymmetric Higgs inflation in the context of no-scale supergravity and grand unification, to include models based on the flipped SU(5) and the Pati-Salam group. Like the previous SU(5) GUT model, these yield a class of inflation models whose inflation predictions interpolate between those of the quadratic chaotic inflation and Starobinsky-like inflation, while also avoiding tension with proton decay limits. We further analyse the reheating process in these models, and derive the number of $e$-folds, which is independent of the reheating temperature. We derive the corresponding predictions for the scalar tilt and the tensor-to-scalar ratio in cosmic microwave background perturbations, and also discuss gravitino production following inflation.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2016-2024 CERN (License: CC-BY-4.0) publication: © 2016-2024 The Author(s) (License: CC-BY-4.0)

$\it Predictions from our no-scale GUT models of Higgs inflation for the scalar tilt $\,n_s^{}$ and tensor-to-scalar ratio $\,r\,$,\, given the number of $e$-folds $\,N_e=59\,$ from Eq.\eqref{eq:Ne}, and compared with the 68\% and 95\%\,C.L.\ contours from cosmological observations\,\cite{BKP}. In plot (a), the condition $\,\be=\frac{1}{3}(1-\zeta)m\,$ is imposed and the round (square) dot corresponds to $\,\zeta=0~(\zeta=1)\,$.\, The horizontal strip attached to the lower round dot describes to the effect of varying $\,\zeta \in [0,\,0.1]$\, (from right to left), while the upper strip attached to the square dot depicts the effect of varying $\,\zeta\in [0.9,\,1]$\, (from left to right). In plot (b), the three dots from top to bottom correspond to $\,\zeta=(1,\,0.98,\,0.95)$\, and $\,\de=0\,$,\, where $\,\be=\frac{1}{3}(1-\zeta+\de)\,m\,$,\, and the strip attached to each dot presents the effect of varying $\,\de\,$ over the range of $\,\pm (1.2\!\times\! 10^{-3})$.$ $\it Predictions from our no-scale GUT models of Higgs inflation for the scalar tilt $\,n_s^{}$ and tensor-to-scalar ratio $\,r\,$,\, given the number of $e$-folds $\,N_e=59\,$ from Eq.\eqref{eq:Ne}, and compared with the 68\% and 95\%\,C.L.\ contours from cosmological observations\,\cite{BKP}. In plot (a), the condition $\,\be=\frac{1}{3}(1-\zeta)m\,$ is imposed and the round (square) dot corresponds to $\,\zeta=0~(\zeta=1)\,$.\, The horizontal strip attached to the lower round dot describes to the effect of varying $\,\zeta \in [0,\,0.1]$\, (from right to left), while the upper strip attached to the square dot depicts the effect of varying $\,\zeta\in [0.9,\,1]$\, (from left to right). In plot (b), the three dots from top to bottom correspond to $\,\zeta=(1,\,0.98,\,0.95)$\, and $\,\de=0\,$,\, where $\,\be=\frac{1}{3}(1-\zeta+\de)\,m\,$,\, and the strip attached to each dot presents the effect of varying $\,\de\,$ over the range of $\,\pm (1.2\!\times\! 10^{-3})$.$ $\it Post inflationary trajectory of no-scale Higgs inflation. This 3-dimensional plot presents the scalar potential $\,V(h,s)\,$ of the flipped SU(5) model as a function of $\,(h,\,s)\,$ fields. The red solid curve depicts the trajectory of the inflaton before and after passing the branch point. The blue dashed curve denotes an (imagined) continued path under $\,s=0$\,.$ Show more plots

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