Perturbativity and mass scales of Left-Right Higgs bosons

The scalar sector of the minimal Left-Right model at TeV scale is revisited in light of the large quartic coupling needed for a heavy flavor-changing scalar. The stability and perturbativity of the effective potential is discussed and merged with constraints from low-energy processes. Thus the perturbative level of the Left-Right scale is sharpened. Lower limits on the triplet scalars are also derived: the left-handed triplet is bounded by oblique parameters, while the doubly-charged right-handed component is limited by the $h \to \gamma \gamma, Z \gamma$ decays. Current constraints disfavor their detection as long as $W_R$ is within the reach of the LHC.
Comment: Added references, clarifications and acknowledgments