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We derive perturbativity constraints on beyond standard model scenarios withextra gauge groups, such as $SU(2)$ or $U(1)$, whose generators contribute tothe electric charge, and show that there are both upper and lower limits on theadditional gauge couplings, from the requirement that the couplings remainperturbative up to the grand unification theory (GUT) scale. This leads tostringent constraints on the masses of the corresponding gauge bosons and theircollider phenomenology. We specifically focus on the models based on$SU(2)_L\times U(1)_{I_{3R}} \times U(1)_{B-L}$ and the left-right symmetricmodels based on $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$, and discuss theimplications of the perturbativity constraints for new gauge boson searches atcurrent and future colliders. In particular, we find that the stringent flavorconstraints in the scalar sector of left-right model set a lower bound on theright-handed scale $v_R \gtrsim 10$ TeV, if all the gauge and quartic couplingsare to remain perturbative up to the GUT scale. This precludes the prospects offinding the $Z_R$ boson in the left-right model at the LHC, even in thehigh-luminosity phase, and leaves only a narrow window for the $W_R$ boson. Amuch broader allowed parameter space, with the right-handed scale $v_R$ up to$\simeq 87$ TeV, could be probed at the future 100 TeV collider.

Perturbativity constraints on $U(1)_{B-L}$ and left-right models and implications for heavy gauge boson searches