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We present a study of $\tau^+ \tau^-$ lepton pair production in Pb + Pbcollisions at $\sqrt{s_{NN}}$ = 5.5 TeV. The larger mass of tau lepton comparedto electron and muon leads to considerably small hadronic contribution to the$\tau^+ \tau^-$ pair invariant mass (M) distribution relative to the productionfrom thermal partonic sources. The quark-antiquark annihilation processes viaintermediary virtual photon, Z and Higgs bosons have been considered for thetau lepton production. The contribution from Drell-Yan process is found todominate over thermal yield for $\tau^+ \tau^-$ pair mass from 4 to 20 GeV atthe LHC energy. We also present the ratio of $\tau$ lepton pair yields fornucleus-nucleus collisions relative to yields from p + p collisions scaled bynumber of binary collisions at LHC energies as a function $\tau$ lepton pairinavariant mass. The ratio is found to be significantly above unity for themass range 4 to 6 GeV. This indicates the possibility of detecting $\tau^+\tau^-$ pair from quark gluon plasma (QGP) in the mass window 4 to 6 GeV.

Heavy dilepton in nucleus nucleus collision at LHC energy