# Scale-independent inflation and hierarchy generation

## Abstract

We discuss models involving two scalar fields coupled to classical gravity that satisfy the general criteria: (i) the theory has no mass input parameters, (ii) classical scale symmetry is broken only through $$-\frac{1}{12}\varsigma \phi^2 R$$ couplings where $$\varsigma$$ departs from the special conformal value of $1$; (iii) the Planck mass is dynamically generated by the vacuum expectations values (VEVs) of the scalars (iv) there is a stage of viable inflation associated with slow roll in the two--scalar potential; (v) the final vacuum has a small to vanishing cosmological constant and an hierarchically small ratio of the VEVs and the ratio of the scalar masses to the Planck scale. In addition, this assumes the paradigm of classical scale symmetry as a custodial symmetry of large hierarchies.

- Authors:

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1329720

- Alternate Identifier(s):
- OSTI ID: 1260385

- Report Number(s):
- FERMILAB-PUB-16-035-T; arXiv:1603.05983

Journal ID: ISSN 0370-2693; S0370269316306074; PII: S0370269316306074

- Grant/Contract Number:
- AC02-07CH11359

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 763 Journal Issue: C; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- Netherlands

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G. Scale-independent inflation and hierarchy generation. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.10.036.
```

```
Ferreira, Pedro G., Hill, Christopher T., & Ross, Graham G. Scale-independent inflation and hierarchy generation. Netherlands. doi:10.1016/j.physletb.2016.10.036.
```

```
Ferreira, Pedro G., Hill, Christopher T., and Ross, Graham G. Thu .
"Scale-independent inflation and hierarchy generation". Netherlands. doi:10.1016/j.physletb.2016.10.036.
```

```
@article{osti_1329720,
```

title = {Scale-independent inflation and hierarchy generation},

author = {Ferreira, Pedro G. and Hill, Christopher T. and Ross, Graham G.},

abstractNote = {We discuss models involving two scalar fields coupled to classical gravity that satisfy the general criteria: (i) the theory has no mass input parameters, (ii) classical scale symmetry is broken only through $-\frac{1}{12}\varsigma \phi^2 R$ couplings where $\varsigma$ departs from the special conformal value of $1$; (iii) the Planck mass is dynamically generated by the vacuum expectations values (VEVs) of the scalars (iv) there is a stage of viable inflation associated with slow roll in the two--scalar potential; (v) the final vacuum has a small to vanishing cosmological constant and an hierarchically small ratio of the VEVs and the ratio of the scalar masses to the Planck scale. In addition, this assumes the paradigm of classical scale symmetry as a custodial symmetry of large hierarchies.},

doi = {10.1016/j.physletb.2016.10.036},

journal = {Physics Letters B},

number = C,

volume = 763,

place = {Netherlands},

year = {2016},

month = {12}

}

DOI: 10.1016/j.physletb.2016.10.036

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Works referencing / citing this record:

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