# GUT scalar potentials for Higgs inflation

## Abstract

Motivated by the idea that there is new physics beyond the Standard Model (SM), we have investigated a number of models for Grand Unified Theories (GUTS) in four dimensions for the possibility that their Higgs fields might be responsible for inflation in the early universe. In addition to models having an intrinsic Planck mass parameter, we have entertained classically scale invariant models in which the Planck scale itself as well as the GUT scale is induced by spontaneous breaking of the gauge symmetry. We found that in non-supersymmetric SU(5) with the usual Higgs in the adjoint representation but with large non-minimal coupling to the curvature, there appear to be several possible flat directions that might lead to inflation. Interestingly, the one of lowest energy is the breaking into SU(3)SU(2)U(1) that is suggested by gauge coupling unification. Further, we show that this flat direction is stable against small fluctuations in other directions. We attempted to extend this to similar supersymmetric GUTS, both global and supergravity, but did not succeed in finding a phenomenologically acceptable model of this type, with a 'minimal' Kaehler potential augmented only by terms characterised by dimensionless coupling constants. As is often the case, such models suffered eithermore »

- Authors:

- Kavli Institute for Theoretical Physics, University of California, Santa Barbara CA 93106-4030 (United States)
- Dept. of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 22279852

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; COSMOLOGY; COUPLING CONSTANTS; FLUCTUATIONS; GAUGE INVARIANCE; HIGGS BOSONS; HIGGS MODEL; MASS; POTENTIALS; SCALARS; STANDARD MODEL; SU-5 GROUPS; SUPERGRAVITY; SUPERSYMMETRY; TACHYONS; UNIVERSE

### Citation Formats

```
Einhorn, Martin B., and Jones, D.R. Timothy, E-mail: meinhorn@umich.edu, E-mail: drtj@liv.ac.uk.
```*GUT scalar potentials for Higgs inflation*. United States: N. p., 2012.
Web. doi:10.1088/1475-7516/2012/11/049.

```
Einhorn, Martin B., & Jones, D.R. Timothy, E-mail: meinhorn@umich.edu, E-mail: drtj@liv.ac.uk.
```*GUT scalar potentials for Higgs inflation*. United States. doi:10.1088/1475-7516/2012/11/049.

```
Einhorn, Martin B., and Jones, D.R. Timothy, E-mail: meinhorn@umich.edu, E-mail: drtj@liv.ac.uk. Thu .
"GUT scalar potentials for Higgs inflation". United States. doi:10.1088/1475-7516/2012/11/049.
```

```
@article{osti_22279852,
```

title = {GUT scalar potentials for Higgs inflation},

author = {Einhorn, Martin B. and Jones, D.R. Timothy, E-mail: meinhorn@umich.edu, E-mail: drtj@liv.ac.uk},

abstractNote = {Motivated by the idea that there is new physics beyond the Standard Model (SM), we have investigated a number of models for Grand Unified Theories (GUTS) in four dimensions for the possibility that their Higgs fields might be responsible for inflation in the early universe. In addition to models having an intrinsic Planck mass parameter, we have entertained classically scale invariant models in which the Planck scale itself as well as the GUT scale is induced by spontaneous breaking of the gauge symmetry. We found that in non-supersymmetric SU(5) with the usual Higgs in the adjoint representation but with large non-minimal coupling to the curvature, there appear to be several possible flat directions that might lead to inflation. Interestingly, the one of lowest energy is the breaking into SU(3)SU(2)U(1) that is suggested by gauge coupling unification. Further, we show that this flat direction is stable against small fluctuations in other directions. We attempted to extend this to similar supersymmetric GUTS, both global and supergravity, but did not succeed in finding a phenomenologically acceptable model of this type, with a 'minimal' Kaehler potential augmented only by terms characterised by dimensionless coupling constants. As is often the case, such models suffered either from a negative vacuum energy or from tachyonic modes. We also considered a variant of an 'inverted hierarchy' model in which the GUT scale is set by dimensional transmutation, but were unable to find a phenomenologically acceptable model.},

doi = {10.1088/1475-7516/2012/11/049},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 11,

volume = 2012,

place = {United States},

year = {2012},

month = {11}

}