Right-handed neutrinos, domain walls and tadpoles in the superstring inspired $\mu \nu$SSM

Abstract

We discuss the special role of right-handed neutrinos in the $\mu \nu$SSM for solving the $\mu$- and $\nu$-problems, simultaneously avoiding the potential domain wall and tadpole problems, In particular, embedding the $\mu \nu$SSM in the framework of superstrings implies that not all gauge invariant terms are necessarily present in the superpotential, and thus there is more flexibility to allow only those that avoid the domain wall and tadpole problems to be present. These can be non-renormalizable terms of dimension 4 or terms of higher dimensions. In addition, non-perturbative effects can also solve both problems. We discuss another implication of the superstring inspired $\mu \nu$SSM, since the right-handed neutrino is expected to have extra $U(1)$ charges at high energies. In this case, the cubic right-handed neutrino terms in the superpotential, helpful for generating Majorana masses and solving domain wall and tadpole problems, can arise through a variety of stringy mechanisms.

Discussions expanded, 1 table and references added. Version published in Nucl. Phys. B, 24 pages, 2 figures, 1 table

References in corpus (13)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Symmetries and Strings in Field Theory and Gravity
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrino Majorana Masses from String Theory Instanton Effects
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra
• Computation of D-brane instanton induced superpotential couplings - Majorana masses from string theory
• Revisiting the SUSY mu problem and its solutions in the LHC era
• D-Instanton Generated Dirac Neutrino Masses
• The new $(g-2{)}_{\mu }$ result and the $\mu \nu$SSM
• MeV-GeV $\gamma$-ray telescopes probing axino LSP/gravitino NLSP as dark matter in the $\mu \nu$SSM
• Searching for Supersymmetry: The $\mu \nu$SSM
• Vacuum (meta-)stability in the $\mu \nu$SSM

Cited by in corpus (1)

• On the existence of quaternion-handedness for the spinor solutions of the Dirac and Majorana neutrinos