Bounds on fourth generation induced Lepton Flavour Violating double insertions in Supersymmetry


Abstract in English

We derive bounds on leptonic double mass insertions of the type $delta^{l}_{i4} delta^{l}_{4j}$ in four generational MSSM, using the present limits on $l_i to l_j + gamma$. Two main features distinguish the rates of these processes in MSSM4 from MSSM3 : (a) tan$beta$ is restricted to be very small $lesssim 3 $ and (b) the large masses for the fourth generation leptons. In spite of small $tanbeta$, there is an enhancement in amplitudes with $llrr$($delta_{i4}^{ll}delta_{4j}^{rr}$) type insertions which pick up the mass of the fourth generation lepton, $m_{tau}$. We find these bounds to be at least two orders of magnitude more stringent than those in MSSM3.

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