# SU(5)×U(1) grand unification with minimal seesaw and Z′-portal dark matter

## Abstract

We propose a grand unified $\mathrm{SU}\left(5\right)\times \mathrm{U}{\left(1\right)}_{X}$ model, where the standard SU(5) grand unified theory is supplemented by minimal seesaw and a right-handed neutrino dark matter with an introduction of a global ${Z}_{2}$-parity. In the presence of three right-handed neutrinos (RHNs), the model is free from all gauge and mixed-gravitational anomalies. The SU(5) symmetry is broken into the Standard Model (SM) gauge group at ${M}_{\mathrm{GUT}}\simeq 4\times {10}^{16}\phantom{\rule{0ex}{0ex}}\text{GeV}$ in the standard manner, while the U(1)_{X} symmetry breaking occurs at the TeV scale, which generates the TeV-scale mass of the U(1)_{X} gauge boson ( ${Z}^{\text{'}}$ boson) and the three Majorana RHNs. A unique ${Z}_{2}$-odd RHN is stable and serves as the dark matter (DM) in the present Universe, while the remaining two RHNs work to generate the SM neutrino masses through the minimal seesaw. We investigate the ${Z}^{\text{'}}$-portal RHN DM scenario in this model context. We find that the constraints from the DM relic abundance, and the ${Z}^{\text{'}}$ boson search at the Large Hadron Collider (LHC), and the perturbativity bound on the U(1)_{X} gauge coupling are complementary to narrow down the allowed parameter region in the range of $3.0\le {m}_{{Z}^{\text{'}}}\left[\text{TeV}\right]\le 9.2$ for the ${Z}^{\text{'}}$ boson mass. The allowed region for ${m}_{{Z}^{\text{'}}}\le 5\phantom{\rule{0ex}{0ex}}\text{TeV}$ will be fully covered by the future LHC experiments. We also briefly discuss the successful implementation of Baryogenesis and cosmological inflation scenarios in the present model.

- Authors:

- Publication Date:

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

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

- OSTI Identifier:
- 1426826

- Alternate Identifier(s):
- OSTI ID: 1499154

- Grant/Contract Number:
- SC0012447

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 780 Journal Issue: C; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- Netherlands

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Okada, Nobuchika, Okada, Satomi, and Raut, Digesh. SU(5)×U(1) grand unification with minimal seesaw and Z′-portal dark matter. Netherlands: N. p., 2018.
Web. doi:10.1016/j.physletb.2018.03.031.
```

```
Okada, Nobuchika, Okada, Satomi, & Raut, Digesh. SU(5)×U(1) grand unification with minimal seesaw and Z′-portal dark matter. Netherlands. doi:https://doi.org/10.1016/j.physletb.2018.03.031
```

```
Okada, Nobuchika, Okada, Satomi, and Raut, Digesh. Tue .
"SU(5)×U(1) grand unification with minimal seesaw and Z′-portal dark matter". Netherlands. doi:https://doi.org/10.1016/j.physletb.2018.03.031.
```

```
@article{osti_1426826,
```

title = {SU(5)×U(1) grand unification with minimal seesaw and Z′-portal dark matter},

author = {Okada, Nobuchika and Okada, Satomi and Raut, Digesh},

abstractNote = {We propose a grand unified SU(5)×U(1)X model, where the standard SU(5) grand unified theory is supplemented by minimal seesaw and a right-handed neutrino dark matter with an introduction of a global Z2-parity. In the presence of three right-handed neutrinos (RHNs), the model is free from all gauge and mixed-gravitational anomalies. The SU(5) symmetry is broken into the Standard Model (SM) gauge group at MGUT≃4×1016GeV in the standard manner, while the U(1)X symmetry breaking occurs at the TeV scale, which generates the TeV-scale mass of the U(1)X gauge boson (Z' boson) and the three Majorana RHNs. A unique Z2-odd RHN is stable and serves as the dark matter (DM) in the present Universe, while the remaining two RHNs work to generate the SM neutrino masses through the minimal seesaw. We investigate the Z'-portal RHN DM scenario in this model context. We find that the constraints from the DM relic abundance, and the Z' boson search at the Large Hadron Collider (LHC), and the perturbativity bound on the U(1)X gauge coupling are complementary to narrow down the allowed parameter region in the range of 3.0≤mZ'[TeV]≤9.2 for the Z' boson mass. The allowed region for mZ'≤5TeV will be fully covered by the future LHC experiments. We also briefly discuss the successful implementation of Baryogenesis and cosmological inflation scenarios in the present model.},

doi = {10.1016/j.physletb.2018.03.031},

journal = {Physics Letters B},

number = C,

volume = 780,

place = {Netherlands},

year = {2018},

month = {5}

}

DOI: https://doi.org/10.1016/j.physletb.2018.03.031

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#### Figures / Tables:

_{X}extended SM with Z

_{2}-parity. In addition to the SM particle content (i = 1, 2, 3), the three RHNs (N

^{j}

_{R}( j = 1, 2) and N

_{R}) and the U(1)

_{X}Higgs field (Φ) are introduced. The unification into SU(5)more »

Works referencing / citing this record:

##
Natural ${Z}^{\prime}$ -portal Majorana dark matter in alternative U(1) extended standard model

journal, August 2019

- Okada, Nobuchika; Okada, Satomi; Raut, Digesh
- Physical Review D, Vol. 100, Issue 3

##
Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac $CP$ phase

journal, April 2019

- Liu, Zhi-Cheng; Yue, Chong-Xing; Zhao, Zhen-hua
- Physical Review D, Vol. 99, Issue 7

##
An anomaly-free atlas: charting the space of flavour-dependent gauged U(1) extensions of the Standard Model

journal, February 2019

- Allanach, B. C.; Davighi, Joe; Melville, Scott
- Journal of High Energy Physics, Vol. 2019, Issue 2

##
Anomaly-free dark matter with harmless direct detection constraints

journal, December 2018

- Caron, S.; Casas, J. A.; Quilis, J.
- Journal of High Energy Physics, Vol. 2018, Issue 12

##
Predictive scotogenic model with flavor dependent symmetry

journal, June 2019

- Han, Zhi-Long; Wang, Weijian
- The European Physical Journal C, Vol. 79, Issue 6

##
${Z}^{\prime}$ Portal Dark Matter in the Minimal $B-L$ Model

journal, July 2018

- Okada, Satomi
- Advances in High Energy Physics, Vol. 2018

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