# Predicting the seesaw scale in a minimal bottom-up extension of the MSSM

## Abstract

We analyze a minimal bottom-up seesaw scenario that (i) is supersymmetric, (ii) has a local B-L symmetry as part of the gauge group SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} to implement the seesaw mechanism, (iii) has a B-L symmetry breaking that leaves R-parity unbroken so that there is naturally stable dark matter, and (iv) has a discrete Z symmetry that excludes bilinear Higgs terms in the superpotential. We show that (i) and (iv) allow one to predict the seesaw scale for neutrino masses to be M{sub R}{approx_equal}{radical}(M{sub SUSY}M{sub Pl}){approx_equal}10{sup 11} GeV. We demonstrate, given the above, that the ground state is a stable minimum and is lower than possible electric charge violating minima. Furthermore, we provide expressions for the masses of the light doubly charged Higgs bosons and Higgsinos that are known to exist in the generic versions of these models. Finally, we indicate how one can get different expectation values for the MSSM Higgs doublets and therefore obtain realistic quark masses.

- Authors:

- Department of Physics and Center for String and Particle Theory, University of Maryland, College Park, Maryland 20742 (United States)

- Publication Date:

- OSTI Identifier:
- 20782832

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.73.075001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; GEV RANGE; GROUND STATES; HIGGS BOSONS; HIGGS MODEL; INTERMEDIATE BOSONS; NEUTRINOS; NONLUMINOUS MATTER; PARITY; POTENTIALS; QUARKS; REST MASS; SPARTICLES; STANDARD MODEL; SU-2 GROUPS; SUPERSYMMETRY; SYMMETRY BREAKING; UNITARY SYMMETRY

### Citation Formats

```
Mohapatra, R.N., Setzer, N., and Spinner, S.
```*Predicting the seesaw scale in a minimal bottom-up extension of the MSSM*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.075001.

```
Mohapatra, R.N., Setzer, N., & Spinner, S.
```*Predicting the seesaw scale in a minimal bottom-up extension of the MSSM*. United States. doi:10.1103/PHYSREVD.73.075001.

```
Mohapatra, R.N., Setzer, N., and Spinner, S. Sat .
"Predicting the seesaw scale in a minimal bottom-up extension of the MSSM". United States.
doi:10.1103/PHYSREVD.73.075001.
```

```
@article{osti_20782832,
```

title = {Predicting the seesaw scale in a minimal bottom-up extension of the MSSM},

author = {Mohapatra, R.N. and Setzer, N. and Spinner, S.},

abstractNote = {We analyze a minimal bottom-up seesaw scenario that (i) is supersymmetric, (ii) has a local B-L symmetry as part of the gauge group SU(2){sub L}xSU(2){sub R}xU(1){sub B-L} to implement the seesaw mechanism, (iii) has a B-L symmetry breaking that leaves R-parity unbroken so that there is naturally stable dark matter, and (iv) has a discrete Z symmetry that excludes bilinear Higgs terms in the superpotential. We show that (i) and (iv) allow one to predict the seesaw scale for neutrino masses to be M{sub R}{approx_equal}{radical}(M{sub SUSY}M{sub Pl}){approx_equal}10{sup 11} GeV. We demonstrate, given the above, that the ground state is a stable minimum and is lower than possible electric charge violating minima. Furthermore, we provide expressions for the masses of the light doubly charged Higgs bosons and Higgsinos that are known to exist in the generic versions of these models. Finally, we indicate how one can get different expectation values for the MSSM Higgs doublets and therefore obtain realistic quark masses.},

doi = {10.1103/PHYSREVD.73.075001},

journal = {Physical Review. D, Particles Fields},

number = 7,

volume = 73,

place = {United States},

year = {Sat Apr 01 00:00:00 EST 2006},

month = {Sat Apr 01 00:00:00 EST 2006}

}