Simple left-right theory: Lepton number violation at the LHC

We propose a simple left-right symmetric theory where the neutrino masses are generated at the quantum level. In this context the neutrinos are Majorana fermions and the model has the minimal degrees of freedom in the scalar sector needed for symmetry breaking and mass generation. We discuss the lepton number violating signatures with two charged leptons of different flavor and missing energy at the Large Hadron Collider in order to understand the testability of the theory.

Figure 1

Neutrino mass generation at the quantum level. This graph is shown in the unbroken phase only for illustration.

Figure 2

Production cross section of ${\delta }^{+}{\delta }^{-}$ as a function of $M_{\delta }$ for different $M_{Z^{\prime }}$ at $\sqrt{s}=13\mathrm{TeV}$.

Figure 3

Contours of expected number of events for $3{\mathrm{fb}}^{-1}$ at $\sqrt{s}=13\mathrm{TeV}$ in the $M_{\delta }\text{−}\mathrm{BR}({\delta }^{+}\to e_i^{+}{\nu }_j)$ plane.

Figure 4

Contours of expected number of events for $25{\mathrm{fb}}^{-1}$ at $\sqrt{s}=14\mathrm{TeV}$ in $M_{\delta }\text{−}\mathrm{BR}({\delta }^{+}\to e_i^{+}{\nu }_j)$ plane.