Analysis of the B --> π\ell^+ \ell^- Decay in the Standard Model with Fourth Generation

Abstract

We investigate the influence of the fourth generation quarks on the branching ratio and the CP-asymmetry in B -->π\ell^+ \ell^- decay. Taking the |V_{t'd}V_{t'b}| ~ 0.001 with phase about 10 degree, which is consistent with the sin2ϕ_1 of the CKM and the B_d mixing parameter Δm_{B_d}, we obtain that for both muon and tau channels the branching ratio, the magnitude of CP-asymmetry and lepton polarization depict strong dependency on the 4th generation quarks mass and mixing parameters. These results can serve as a good tool to search for new physics effects, precisely, to search for the fourth generation quarks($t', b')$ via its indirect manifestations in loop diagrams.

17 pages, 8 figures