# Nonminimal quartic inflation in classically conformal ${\mathrm{U}\left(1\right)}_{X}$ extended standard model

## Abstract

We propose quartic inflation with nonminimal gravitational coupling in the context of the classically conformal U (1) _{X} extension of the standard model (SM). In this model, the U(1) _{X }gauge symmetry is radiatively broken through the Coleman-Weinberg mechanism, by which the U(1) _{X} gauge boson (Z ' boson) and the right-handed Majorana neutrinos acquire their masses. We consider their masses in the range of O (10 GeV ) - O (10 TeV) , which are accessible to high-energy collider experiments. The radiative U (1) _{X} gauge symmetry breaking also generates a negative mass squared for the SM Higgs doublet, and the electroweak symmetry breaking occurs subsequently. We identify the U(1) _{X} Higgs field with inflaton and calculate the inflationary predictions. Because of the Coleman-Weinberg mechanism, the inflaton quartic coupling during inflation, which determines the inflationary predictions, is correlated to the U(1) _{X} gauge coupling. With this correlation, we investigate complementarities between the inflationary predictions and the current constraint from the Z' boson resonance search at the LHC Run 2 as well as the prospect of the search for the Z' boson and the right-handed neutrinos at the future collider experiments.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Alabama, Tuscaloosa, AL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1423504

- Alternate Identifier(s):
- OSTI ID: 1503884

- Grant/Contract Number:
- SC0012447

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Oda, Satsuki, Okada, Nobuchika, Raut, Digesh, and Takahashi, Dai-suke. Nonminimal quartic inflation in classically conformal U ( 1 ) X extended standard model. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.055001.
```

```
Oda, Satsuki, Okada, Nobuchika, Raut, Digesh, & Takahashi, Dai-suke. Nonminimal quartic inflation in classically conformal U ( 1 ) X extended standard model. United States. doi:10.1103/PhysRevD.97.055001.
```

```
Oda, Satsuki, Okada, Nobuchika, Raut, Digesh, and Takahashi, Dai-suke. Fri .
"Nonminimal quartic inflation in classically conformal U ( 1 ) X extended standard model". United States. doi:10.1103/PhysRevD.97.055001.
```

```
@article{osti_1423504,
```

title = {Nonminimal quartic inflation in classically conformal U ( 1 ) X extended standard model},

author = {Oda, Satsuki and Okada, Nobuchika and Raut, Digesh and Takahashi, Dai-suke},

abstractNote = {We propose quartic inflation with nonminimal gravitational coupling in the context of the classically conformal U (1)X extension of the standard model (SM). In this model, the U(1)X gauge symmetry is radiatively broken through the Coleman-Weinberg mechanism, by which the U(1)X gauge boson (Z ' boson) and the right-handed Majorana neutrinos acquire their masses. We consider their masses in the range of O (10 GeV ) - O (10 TeV) , which are accessible to high-energy collider experiments. The radiative U (1)X gauge symmetry breaking also generates a negative mass squared for the SM Higgs doublet, and the electroweak symmetry breaking occurs subsequently. We identify the U(1)X Higgs field with inflaton and calculate the inflationary predictions. Because of the Coleman-Weinberg mechanism, the inflaton quartic coupling during inflation, which determines the inflationary predictions, is correlated to the U(1)X gauge coupling. With this correlation, we investigate complementarities between the inflationary predictions and the current constraint from the Z' boson resonance search at the LHC Run 2 as well as the prospect of the search for the Z' boson and the right-handed neutrinos at the future collider experiments.},

doi = {10.1103/PhysRevD.97.055001},

journal = {Physical Review D},

number = 5,

volume = 97,

place = {United States},

year = {2018},

month = {3}

}

DOI: 10.1103/PhysRevD.97.055001

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