$\mathcal{O}(100GeV)$ Deci-weak $W^{\mathrm{\prime }}\mathrm{/}{Z}^{\mathrm{\prime }}$ at Tevatron and LHC

Recently Tevatron released their measurements on invariant mass spectrum of electron/positron, as well as the di-jet arising from WW+WZ production with one W leptonically decay. Though the statistics is not significant, there are two bumps around 240 GeV and 120-160 GeV respectively. We proposed that the two bumps correspond to the extra light gauge bosons $Z^{\mathrm{\prime }}$ and $W^{\mathrm{\prime }}$, which couple with quarks with the deci-weak strength. In this brief report, we also simulated di-jet invariant mass distribution at the current running LHC.