Lepton polarization and forward-backward asymmetries inb→sτ+τ−

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Abstract

We study the spin polarizations of both $\ensuremath{\tau}$ leptons in the decay $\stackrel{\ensuremath{\rightarrow}}{b}s{\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}.$ In addition to the polarization asymmetries involving a single $\ensuremath{\tau},$ we construct asymmetries for the case where both polarizations are simultaneously measured. We also study forward-backward asymmetries with polarized $\ensuremath{\tau}$'s. We find that a large number of asymmetries are predicted to be large, $\ensuremath{\gtrsim}10%.$ This permits the measurement of all Wilson coefficients and the b-quark mass, thus allowing the standard model (SM) to be exhaustively tested. Furthermore, there are many unique signals for the presence of new physics. For example, asymmetries involving triple-product correlations are predicted to be tiny within the SM, ${O(10}^{\ensuremath{-}2}).$ Their observation would be a clear signal of new physics.

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