Narrow Results

The gauged $B\text{–}L$ symmetry is one of the simplest and well-studied extension of Standard Model. In the conventional case, addition of three singlet right-handed neutrinos each transforming as $-1$ under the $B\text{–}L$ symmetry renders it anomaly-free. It is usually assumed that the $B\text{–}L$ symmetry is spontaneously broken by a singlet scalar having two units of $B\text{–}L$ charge, resulting in a natural implementation of Majorana seesaw mechanism for neutrinos. However, as we discuss here, there is another simple anomaly-free solution which leads to Dirac or inverse seesaw masses for neutrinos. These new possibilities are explored along with an application to neutrino mixing with $S_3$ flavor symmetry.

The gauged B – L symmetry is one of the simplest and well studied extension of standard model. In the conventional case, addition of three singlet right-handed neutrinos each transforming as −1 under the B – L symmetry renders it anomaly free. It is usually assumed that the B – L symmetry is spontaneously broken by a singlet scalar having two units of B – L charge, resulting in a natural implementation of Majorana seesaw mechanism for neutrinos. However, as we discuss in this proceeding, there is another simple anomaly free solution which leads to Dirac or inverse seesaw masses for neutrinos. These new possibilities are explored along with an application to neutrino mixing with S₃ flavour symmetry.