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The weak decays of B_{c} --> D_{s}^{*}l^{+}l^{-} (l=mu,tau) are investigatedin the Standard Model with fourth generation (SM4). Taking fourth generationquark mass m_{t'} of about 300 to 600 GeV with the CKM matrix elementsV_{t'b}^{*}V_{t's} in the range (0.03-1.2)*10^{-2} and using the new CP oddphase (phi_{sb}) to be 90^{o} the analysis of decay rates, forward-backwardasymmetries, lepton polarization asymmetries and the helicity fractions ofD_{s}^{*} meson in B_{c} --> D_{s}^{*}l^{+}l^{-} (l=mu,tau) is made. It isshown that the values of these physical observables are greatly influenced bythe effects of extra sequential quark generation in the SM. It is found thatthe zero position of the forward-backward asymmetry in B_{c} --> D_{s}^{*}mu^{+} mu^{-} deviates significantly from that of the SM value while theeffects in the decay rate, helicity fractions of D_s^{*} meson and the leptonpolarization asymmetries are also quite promising. In B_{c} --> D_{s}^{*}tau^{+} tau^{-} decay, the SM4 the NP effects are somewhat mild in the decayrate and forward-backward asymmetry but they have shown them up in thelongitudinal and transverse lepton polarization and also in the helicityfractions of the D_{s}^{*} meson which differ distinctively from the SM values.Thus the study of these physical observables will provide us useful informationto probe new physics and helps us to search for the fourth generation of quarks(t',b') in an indirect way.

Analysis of B_{C} --> D_{s}^{*}l^{+}l^{-} in the Standard Model Beyond Third Generation