https://doi.org/10.1140/epjc/s10052-021-09220-7
Regular Article - Theoretical Physics
extensions of the 
1
Departamento de Física Teórica y del Cosmos, Universidad de Granada, 18071, Granada, Spain
2
Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland
3
Departamento de Física, Facultad de Ciencia Exactas y Naturales, Instituto de Física de Buenos Aires UBA and CONICET, Universidad de Buenos Aires, 1428, Buenos Aires, Argentina
4
Pontificia Universidad Católica Argentina, 1107, Buenos Aires, Argentina
5
Departamento de Física Teórica, Universidad Autónoma de Madrid (UAM), Campus de Cantoblanco, 28049, Madrid, Spain
6
Instituto de Física Teórica (IFT) UAM-CSIC, Campus de Cantoblanco, 28049, Madrid, Spain
Received:
27
January
2021
Accepted:
10
May
2021
Published online:
24
May
2021
In the 
SSM, the presence of R-parity violating couplings involving right-handed (RH) neutrinos solves simultaneously the 
- and 
-problems. We explore extensions of the SSM adding a gauge group, which provides the RH neutrinos with a non-vanishing charge. In these models, dubbed USSM, the anomaly cancellation conditions impose the presence of exotic quarks in the spectrum that are vector-like under the standard model (SM) gauge group: either three pairs SU(2) quark singlets, or a pair of quark singlets together with a pair of quark doublets. Several singlets under the SM group can also be present, with the charges making distinctions among them, and therefore allowing different types of couplings. Some of these singlets dynamically generate Majorana masses for the RH neutrinos, and others can be candidates for dark matter. The useful characteristics of models with s are also present in USSM models: baryon-number-violating operators as well as explicit Majorana masses and terms are forbidden, and the domain wall problem is avoided. The phenomenology of USSM models is very rich. We analyze the experimental constraints on their parameter space, specially on the mass and mixing of the new 
boson. In addition to the exotic quarks, which can hadronize inside the detector or decay producing SM particles, the USSM models can also have new signals such as decays of the to sparticle pairs like right sneutrinos, charginos or neutralinos. Besides, and Higgs mediated annihilations and interactions with the visible sector of WIMP dark matter particles, can also be present.
© The Author(s) 2021
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