## The observational constraints on the flat $$\phi $$CDM models

## Abstract

Most dark energy models have the *Λ*CDM as their limit, and if future observations constrain our universe to be close to *Λ*CDM Bayesian arguments about the evidence and the fine-tuning will have to be employed to discriminate between the models. Assuming a baseline *Λ*CDM model we investigate a number of quintessence and phantom dark energy models, and we study how they would perform when compared to observational data, such as the expansion rate, the angular distance, and the growth rate measurements, from the upcoming Dark Energy Spectroscopic Instrument (DESI) survey. We sample posterior likelihood surfaces of these dark energy models with Monte Carlo Markov Chains while using central values consistent with the Planck *Λ*CDM universe and covariance matrices estimated with Fisher information matrix techniques. We find that for this setup the Bayes factor provides a substantial evidence in favor of the *Λ*CDM model over most of the alternatives. We also investigated how well the CPL parametrization approximates various scalar field dark energy models, and identified the location for each dark energy model in the CPL parameter space.

- Authors:

- Ilia State University, Tbilisi, GA (United States)
- University of California, San Diego, La Jolla, CA (United States)
- Ilia State University, Tbilisi, GA (United States); Kansas State Univ., Manhattan, KS (United States)
- Ilia State University, Tbilisi, GA (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States); Laurentian University, Sudbury (Canada)

- Publication Date:

- Research Org.:
- Kansas State Univ., Manhattan, KS (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1506649

- Grant/Contract Number:
- FG03-99ER41093

- Resource Type:
- Accepted Manuscript

- Journal Name:
- European Physical Journal. C, Particles and Fields

- Additional Journal Information:
- Journal Volume: 78; Journal Issue: 9; Journal ID: ISSN 1434-6044

- Publisher:
- Springer

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Avsajanishvili, Olga, Huang, Yiwen, Samushia, Lado, and Kahniashvili, Tina. The observational constraints on the flat $\phi $CDM models. United States: N. p., 2018.
Web. doi:10.1140/epjc/s10052-018-6233-y.
```

```
Avsajanishvili, Olga, Huang, Yiwen, Samushia, Lado, & Kahniashvili, Tina. The observational constraints on the flat $\phi $CDM models. United States. doi:10.1140/epjc/s10052-018-6233-y.
```

```
Avsajanishvili, Olga, Huang, Yiwen, Samushia, Lado, and Kahniashvili, Tina. Wed .
"The observational constraints on the flat $\phi $CDM models". United States. doi:10.1140/epjc/s10052-018-6233-y. https://www.osti.gov/servlets/purl/1506649.
```

```
@article{osti_1506649,
```

title = {The observational constraints on the flat $\phi $CDM models},

author = {Avsajanishvili, Olga and Huang, Yiwen and Samushia, Lado and Kahniashvili, Tina},

abstractNote = {Most dark energy models have the ΛCDM as their limit, and if future observations constrain our universe to be close to ΛCDM Bayesian arguments about the evidence and the fine-tuning will have to be employed to discriminate between the models. Assuming a baseline ΛCDM model we investigate a number of quintessence and phantom dark energy models, and we study how they would perform when compared to observational data, such as the expansion rate, the angular distance, and the growth rate measurements, from the upcoming Dark Energy Spectroscopic Instrument (DESI) survey. We sample posterior likelihood surfaces of these dark energy models with Monte Carlo Markov Chains while using central values consistent with the Planck ΛCDM universe and covariance matrices estimated with Fisher information matrix techniques. We find that for this setup the Bayes factor provides a substantial evidence in favor of the ΛCDM model over most of the alternatives. We also investigated how well the CPL parametrization approximates various scalar field dark energy models, and identified the location for each dark energy model in the CPL parameter space.},

doi = {10.1140/epjc/s10052-018-6233-y},

journal = {European Physical Journal. C, Particles and Fields},

number = 9,

volume = 78,

place = {United States},

year = {2018},

month = {9}

}