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

2014

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

Ellis, John, He, Hong-Jian, Xianyu, Zhong-Zhi

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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 $n_s \sim 0.96$.

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For reviews, A. D. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, Switzerland, 1990); K. A. Olive, Phys. Rep. 190
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Some recent papers have considered MSSM Higgs inflation with nonminimal Kähler potential and high-scale soft SUSY breaking ( ∼ 10 13 \sim\!10^{13} GeV) as well as minimal Higgs coupling to gravity, L. E. Ibanez and I. Valenzuela, Phys. Lett. B 736
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For discussions of moduli stabilisation in the string framework, see: M. Cicoli, S. de Alwis, and A. Westphal, JHEP 1310

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P. A. R. Ade et al., (Planck Collaboration), arXiv:1303. 5082 [astro-ph.CO]

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We do not discuss here two- or multi-field effects KK , which would tend to suppress r \,r\,

Cited in the paper.

S. Kawai and J. Kim, arXiv:1411.5188 [hep-ph], and references therein

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If, instead of the last two quartic terms in the superpotential W H W_{H} of ( 4

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The effective mass M c c \,M_{cc} calculated here should not be confused with the color-triplet Higgs mass M c \,M_{c}\, computed earlier. The mass M c \,M_{c}\, was derived in the GUT-breaking vacuum, whereas M c c \,M_{cc}\, is evaluated at χ = 0 \,\chi=0 , and is valid for X ∼ 𝒪 ⁡ ( 1 ) \,X\sim\mathcal{O}({1})

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