Hayreter, AlperHe, X. G.Valencia, G.2021-02-182021-02-182020-11-031434-6044http://hdl.handle.net/10679/7326https://doi.org/10.1140/epjc/s10052-020-08499-2We use the results of CMS and ATLAS searches for resonances that decay to tau nu or tb and tau(+)tau(-) or t (t) over bar final states to constrain the parameters of non-universal W' and Z' gauge bosons that couple preferentially to the third generation. For the former we consider production from c (b) over bar annihilation and find very weak constraints on the strength of the interaction and only for themass range between 800 and 1100 GeV from the pp -> tau(h)p(T)(miss) channel. The constraints on the latter are much stronger and arise from both t (t) over bar and tau(+)tau(-) production. Treated separately, we find that the weak constraints on the W' still permit an explanation of the R(D-(star)) anomalies with a light sterile neutrino whereas the stronger constraints on the Z' exclude significant light sterile neutrino contributions to the K -> pi nu(nu) over bar rates. Within specific models the masses of W' and Z' are of course related and we briefly discuss the consequences.engopenAccessarticle801000058521610000110.1140/epjc/s10052-020-08499-22-s2.0-85094973792