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

DANIEL E. LOPEZ-FOGLIANI, CARLOS MUÑOZ

NUCLEAR PHYSICS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2023 vol. 986

0550-3213

We discuss the special role of right-handed neutrinos in the $mu u$SSM forsolving the $mu$- and $u$-problems, simultaneously avoiding the potentialdomain wall and tadpole problems, In particular, embedding the $mu u$SSM inthe framework of superstrings implies that not all gauge invariant terms arenecessarily present in the superpotential, and thus there is more flexibilityto allow only those that avoid the domain wall and tadpole problems to bepresent. These can be non-renormalizable terms of dimension 4 or terms ofhigher dimensions. In addition, non-perturbative effects can also solve bothproblems. We discuss another implication of the superstring inspired $mu u$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 termsin the superpotential, helpful for generating Majorana masses and solvingdomain wall and tadpole problems, can arise through a variety of stringymechanisms.