Using the effective Lagrangian approach we compute the dominant for tan \beta \gg 1 supersymmetric contributions to the leptonic decay rates of B0d,s mesons. We point out that in this limit the CP violating asymmetries measured in the decays B0d(\bar B0d)\rightarrow \tau -\tau + can be interesting probes of the complex phases of the MSSM parameters and/or the Vtd element of the CKM matrix.
PACS numbers: 11.30.Hv, 12.15.Ji, 12.15.Mm, 12.60.Jv
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