Probing New Physics in B→ K⁽*⁾ ℓ+ℓ- decays

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We study the exclusive decays of B→ K⁽*⁾ℓ+ ℓ- by the results in the perturbative QCD with the heavy quark effective theory and lattice calculations. We obtain the form factors for the B→ K⁽*⁾ transitions in the whole allowed region. Our predictions on the branching ratios of B→ K ℓ⁺ ℓ⁻, B→ K* e⁺e⁻, and B→ K* μ⁺ μ⁻ are 0.53± 0.05 ⁺⁰.¹⁰₋₀.₀₇, 1.68± 0.17⁺⁰.¹⁴₋₀.₀₉, and 1.34± 0.13 ⁺⁰.¹¹₋₀.₀₆× 10⁻⁶, where the errors are from the quark mixing elements and hadronic effects, respectively. We also find that our definitions of the T-odd observable and the up-down asymmetry of the K meson in B→ K*ℓ+ ℓ-→ Kπℓ+ ℓ- can be used to probe new physics.