  Inspired by the recent diboson excess observed at the LHC and possible
interpretation within a TeV-scale Left-Right symmetric framework, we explore
its implications for low-energy experiments searching for lepton number and
flavor violation. Assuming a simple Type-II seesaw mechanism for neutrino
masses, we show that for the right-handed (RH) gauge boson mass and coupling
values required to explain the LHC anomalies, the RH contribution to the lepton
number violating process of neutrinoless double beta decay ($0\nu\beta\beta$)
is already constrained by current experiments for relatively low-mass (MeV-GeV)
RH neutrinos. The future ton-scale $0\nu\beta\beta$ experiments could probe
most of the remaining parameter space, irrespective of the neutrino mass
hierarchy and uncertainties in the oscillation parameters and nuclear matrix
elements. On the other hand, the RH contribution to the lepton flavor violating
process of $\mu\to e\gamma$ is constrained for relatively heavier (TeV) RH
neutrinos, thus providing a complementary probe of the model. Finally, a
measurement of the absolute light neutrino mass scale from future precision
cosmology could make this scenario completely testable.
