Pair production of heavy charged gauge bosons in Proton-Proton collision at LHC.

Two opposite charged new heavy gauge boson pair production is studied in this paper at Large Hadron Collider. These bosons are known to be $W^{'}$ boson as it is the heavy version of Standard Model's weak force carrier, the W boson. The production cross section and decay width in proton-proton collision at 14 TeV center of mass energy are calculated for different masses of $W^{'}$ and coupling strengths. Efficiencies for different signal regions and branching ratios for different decay channels are computed. In this study the pair production ($W^{'^{+}}W^{'^{-}}$) is considered in emerging new physics as a result of proton-proton collision with final state containing two tau leptons and two neutrinos (each $W^{'}$ decay to tau and its neutrino). The event selection efficiency is used that is given in CMS experiment for the mass of $W^{'}$ to set lower limits for different coupling strengths of $W^{'}$ and results are given in this paper. For heavy gauge bosons when coupling strength is similar to that of Standard Model's W boson, the mass of $W^{'}$ at confidence level of $95\%$ below 305 GeV are excluded.