Dilepton bounds on left–right symmetry at the LHC run II and neutrinoless double beta decay

In the light of the new 13 TeV dilepton data set with 3.2\\, \ fb⁻¹ integrated luminosity from the ATLAS collaboration, we derive limits on the Z\ mass in the context of left-right symmetric models and exploit the complementarity with dijet and $lljj$ data, as well as neutrinoless double beta decay. We keep the ratio of the left- and right-handed gauge coupling free in order to take into account different patterns of left-right symmetry breaking. By combining the dielectron and dimuon data we can exclude Z\ masses below $3$~TeV for gR=gL, and for gR \~ 1 we rule out masses up to \~ 4~TeV. Those comprise the strongest direct bounds on the Z\ mass from left-right models up to date. We show that in the usual plane of right-handed neutrino and charged gauge boson mass, dilepton data can probe a region of parameter space inaccessible to neutrinoless double beta decay and $lljj$ studies. Lastly, we present a stringent indirect indirect bound on the lifetime of neutrinoless double beta decay using dilepton data. Our results prove that the often ignored dilepton data in the context of left-right models actually provide important complementary limits.