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Composite-fermion models predict excited quarks and leptons with mass scaleswhich can potentially be observed at high-energy colliders like the LHC; themost recent exclusion limits from the CMS and ATLAS Collaborations cornerexcited-fermion masses and the compositeness scale to the multi-TeV range. Atthe same time, hypothetical composite Majorana neutrinos would lead toobservable effects in neutrinoless double beta decay ($0\nu \beta \beta$)experiments. In this work, we show that the current composite-neutrinoexclusion limit $M_N>4.6$ TeV, as extracted from direct searches at the LHC,can indeed be further improved to $M_N>8.8$ TeV by including the bound on thenuclear transition $^{136}$Xe $\to$ $^{136}$Ba $+2e^-$. Looking ahead, theforthcoming HL-LHC will allow probing a larger portion of the parameter-space,nevertheless, it will still benefit from the complementary limit provided by $0\nu \beta \beta$ future detectors to explore composite-neutrino masses up to$12.6$ TeV.

Complementarity between neutrinoless double beta decay and collider searches for heavy neutrinos in composite-fermion models