# Gauge $B\text{\u2013}L$ model with residual ${Z}_{3}$ symmetry

## Abstract

We study a gauge B–L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z_{3} symmetry remains after the spontaneous breaking of B–L. The phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z' collider signatures is discussed. Lepton number L is a familiar concept. It is usually defined as a global U (1) symmetry, under which the leptons of the standard model (SM), i.e. e,μ,τ together with their neutrinos ν_{e},ν_{μ},ν_{τ} have L=1, and all other SM particles have L=0. In the case of nonzero Majorana neutrino masses, this continuous symmetry is broken to a discrete Z_{2 }symmetry, i.e. (-1)^{L} or lepton parity. In this paper, we consider a gauge B–L extension of the SM, such that a residual Z_{3} symmetry remains after the spontaneous breaking of B–L. This is then a realization of the unusual notion of Z_{3} lepton symmetry. It has specific phenomenological consequences, including the possibility of a long-lived particle as a dark-matter candidate.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy

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

- OSTI Identifier:
- 1214243

- Alternate Identifier(s):
- OSTI ID: 1241140

- Grant/Contract Number:
- SC0008541

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 750 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

```
Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, and Zakeri, Mohammadreza. Gauge B – L model with residual Z 3 symmetry. Netherlands: N. p., 2015.
Web. https://doi.org/10.1016/j.physletb.2015.09.010.
```

```
Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, & Zakeri, Mohammadreza. Gauge B – L model with residual Z 3 symmetry. Netherlands. https://doi.org/10.1016/j.physletb.2015.09.010
```

```
Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, and Zakeri, Mohammadreza. Sun .
"Gauge B – L model with residual Z 3 symmetry". Netherlands. https://doi.org/10.1016/j.physletb.2015.09.010.
```

```
@article{osti_1214243,
```

title = {Gauge B – L model with residual Z 3 symmetry},

author = {Ma, Ernest and Pollard, Nicholas and Srivastava, Rahul and Zakeri, Mohammadreza},

abstractNote = {We study a gauge B–L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z3 symmetry remains after the spontaneous breaking of B–L. The phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z' collider signatures is discussed. Lepton number L is a familiar concept. It is usually defined as a global U (1) symmetry, under which the leptons of the standard model (SM), i.e. e,μ,τ together with their neutrinos νe,νμ,ντ have L=1, and all other SM particles have L=0. In the case of nonzero Majorana neutrino masses, this continuous symmetry is broken to a discrete Z2 symmetry, i.e. (-1)L or lepton parity. In this paper, we consider a gauge B–L extension of the SM, such that a residual Z3 symmetry remains after the spontaneous breaking of B–L. This is then a realization of the unusual notion of Z3 lepton symmetry. It has specific phenomenological consequences, including the possibility of a long-lived particle as a dark-matter candidate.},

doi = {10.1016/j.physletb.2015.09.010},

journal = {Physics Letters B},

number = C,

volume = 750,

place = {Netherlands},

year = {2015},

month = {11}

}

https://doi.org/10.1016/j.physletb.2015.09.010

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