We demonstrate that the Dalitz-distributions in energies of both unpol
arized leptons, produced in the decays B --> K + l(+) + l(-) for l= e,
mu, tau, can be a sensitive test for possible new physics beyond the
Standard Model. We find measurable characteristics (including the pola
rization of leptons as well) which are independent of all dirty non-pe
rturbative physics needed in calculating the hadronic form factors. Su
ch characteristics can be used to estimate the presence of possible no
n-standard mechanisms in a model-independent manner. (C) 1998 Elsevier
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