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The experimental prospects for precise measurements of the leptonic decaysB_u -> tau nu / mu nu, B_s -> mu+ mu-, D -> mu nu and D_s -> mu nu / tau nu arevery promising. Double ratios involving four of these decays can be defined inwhich the dependence on the values of the decay constants is essentiallyeliminated, thus enabling complementary measurements of the CKM matrix elementV_ub with a small theoretical error. We quantify the experimental error in apossible future measurement of |V_ub| using this approach, and show that it iscompetitive with the anticipated precision from the conventional approaches.Moreover, it is shown that such double ratios can be more effective than theindividual leptonic decays as a probe of the parameter space of supersymmetricmodels. We emphasize that the double ratios have the advantage of using |V_ub|as an input parameter (for which there is experimental information), while theindividual decays have an uncertainty from the decay constants (e.g. f_B_s),and hence a reliance on theoretical techniques such as lattice QCD.

Measuring V_ub and probing SUSY with double ratios of purely leptonic decays of B and D mesons