# Vectorlike particles, Z' and Yukawa unification in F-theory inspired E _{6}

## Abstract

We explore the low energy implications of an F-theory inspired ${E}_{6}$ model whose breaking yields, in addition to the MSSM gauge symmetry, a ${Z}^{\text{'}}$ gauge boson associated with a $U\left(1\right)$ symmetry broken at the TeV scale. The zero mode spectrum of the effective low energy theory is derived from the decomposition of the 27 and $\overline{27}$ representations of ${E}_{6}$ and we parametrise their multiplicities in terms of a minimum number of flux parameters. We perform a two-loop renormalisation group analysis of the gauge and Yukawa couplings of the effective theory model and estimate lower bounds on the new vectorlike particles predicted in the model. We compute the third generation Yukawa couplings in an F-theory context assuming an ${E}_{8}$ point of enhancement and express our results in terms of the local flux densities associated with the gauge symmetry breaking. We find that their values are compatible with the ones computed by the renormalisation group equations, and we identify points in the parameter space of the flux densities where the $t-b-\tau $ Yukawa couplings unify.

- Authors:

- Univ. of Ioannina (Greece). Physics Dept.
- Univ. of Delaware, Newark, DE (United States). Bartol Research Inst. Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- Univ. of Delaware, Newark, DE (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1417403

- Alternate Identifier(s):
- OSTI ID: 1499145

- Grant/Contract Number:
- SC0013880

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters. Section B

- Additional Journal Information:
- Journal Volume: 778; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Karozas, Athanasios, Leontaris, George K., and Shafi, Qaisar. Vectorlike particles, Z' and Yukawa unification in F-theory inspired E6. United States: N. p., 2018.
Web. doi:10.1016/j.physletb.2018.01.032.
```

```
Karozas, Athanasios, Leontaris, George K., & Shafi, Qaisar. Vectorlike particles, Z' and Yukawa unification in F-theory inspired E6. United States. doi:10.1016/j.physletb.2018.01.032.
```

```
Karozas, Athanasios, Leontaris, George K., and Shafi, Qaisar. Thu .
"Vectorlike particles, Z' and Yukawa unification in F-theory inspired E6". United States. doi:10.1016/j.physletb.2018.01.032.
```

```
@article{osti_1417403,
```

title = {Vectorlike particles, Z' and Yukawa unification in F-theory inspired E6},

author = {Karozas, Athanasios and Leontaris, George K. and Shafi, Qaisar},

abstractNote = {We explore the low energy implications of an F-theory inspired E6 model whose breaking yields, in addition to the MSSM gauge symmetry, a Z' gauge boson associated with a U(1) symmetry broken at the TeV scale. The zero mode spectrum of the effective low energy theory is derived from the decomposition of the 27 and 27¯ representations of E6 and we parametrise their multiplicities in terms of a minimum number of flux parameters. We perform a two-loop renormalisation group analysis of the gauge and Yukawa couplings of the effective theory model and estimate lower bounds on the new vectorlike particles predicted in the model. We compute the third generation Yukawa couplings in an F-theory context assuming an E8 point of enhancement and express our results in terms of the local flux densities associated with the gauge symmetry breaking. We find that their values are compatible with the ones computed by the renormalisation group equations, and we identify points in the parameter space of the flux densities where the t-b-τ Yukawa couplings unify.},

doi = {10.1016/j.physletb.2018.01.032},

journal = {Physics Letters. Section B},

number = ,

volume = 778,

place = {United States},

year = {2018},

month = {1}

}

DOI: 10.1016/j.physletb.2018.01.032

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

_{6}and its $S O$ (10) and $SU$ (5) decompositions and $Q$

_{$ψ,N,η$}charges.

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*