Radiative Symmetry Breaking in Supersymmetric $B-L$ Models with Inverse Seesaw

TL;DR

This paper investigates how radiative corrections in supersymmetric B-L models with inverse seesaw can spontaneously break B-L symmetry at TeV scales without violating R-parity, highlighting differences from type I seesaw models.

Contribution

It demonstrates that radiative symmetry breaking occurs in inverse seesaw models, allowing B-L to break while R-parity remains conserved, unlike in type I seesaw models.

Findings

Radiative corrections can turn positive Higgs mass squared negative at TeV scale.

B-L symmetry can be spontaneously broken without R-parity violation.

Right-handed sneutrino does not acquire a non-zero VEV in this scenario.

Abstract

We study the radiative symmetry breaking of B-L in supersymmetric models with inverse seesaw mechanism. We show that for a wide region of parameter space the radiative corrections can drive the squared mass of the extra Higgs boson from positive initial values at the GUT scale to negative values at the TeV scale, leading to the spontaneous breaking of the B-L symmetry. We also emphasize that in this class of models, unlike the supersymmetric B-L models with type I seesaw, the right-handed sneutrino cannot get a non-zero vacuum expectation value. Therefore, B-L can be radiatively broken while R-parity remains an exact symmetry.