The effective Hamiltonian for the decay b → s l + l − predicts a characteristic polarization for the final state lepton, which can serve as an important test of the underlying theory. The lepton polarization has, in addition to a longitudinal component P L , two orthogonal components P T and P N , lying in and perpendicular to the decay plane which are proportional to m l /m b , and therefore significant for the τ + τ − channel.The normal polarization component P N is a T -odd effect connected with the nonhermiticity of the effective Hamiltonian, arising mainly from cc intermediate states. We calculate all three polarization components for the decay B → X s τ + τ − as a function of the lepton pair mass, and find average values P L τ = −0.37, P T τ = −0.63, P N τ = 0.03. By comparison, the µ − polarization is P L µ = −0.77, P T µ = P N µ ≈ 0.
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