Lepton number violation at colliders from kinematically inaccessible gauge bosons

We reevaluate the necessity of W-R gauge bosons being kinematically accessible to test the left-right symmetricmodel (LRSM) at hadron colliders. In the limit thatWR are too heavy, resonant production of sub-TeV Majorana neutrinos N can still proceed at the Large Hadron Collider (LHC) via the process pp -> W-R(+/-)* -> Nl(+/-) -> l(+/-)l(+/-) + nj if mediated by a far off-shell W-R. Traditional searches strategies are insensitive to this regime as they rely on momenta of final states scaling with TeV-scale M-WR. For such situations, the process is actually kinematically and topologically identical to the direct production (DP) process pp -> W-SM(+/-)* -> Nl(+/-) -> l(+/-)l(+/-) + nj. In this context, we reinterpret root s = 8 TeV LHC constraints on DP rates for the minimal LRSM. For m(N) = 200-500 GeV and right-left coupling ratio K-R = gR/gL, we find (M-WR/K-R) > 1.1-1.8TeV at95% CLs. Expected sensitivities to DP at 14 (100) TeV are also recast: with L = 1 (10) ab(-1), one can probe (M-WR/K-R) < 7.9-8.9 (14-40) TeV for m(N) = 100-700 (1200) GeV, well beyond the anticipated sensitivity of resonant W-R searches. Findings in terms of gauge invariant dimension-six operators with heavy N are also reported.