General Analysis of B -> K^(*) l^+ l^- Decays at Low Recoil

Abstract

We analyze the angular distributions of B -> K^* (-> K pi) l^+ l^- and B -> K l^+ l^- decays in the region of low hadronic recoil in a model-independent way by taking into account the complete set of dimension-six operators [sbar Gamma b][lbar Gamma' l]. We obtain several novel low-recoil observables with high sensitivity to non-standard-model Dirac structures, including CP-asymmetries which do not require flavor tagging. The transversity observables H_T^(1,3,4,5) are found to be insensitive to hadronic matrix elements and their uncertainties even when considering the complete set of operators. In the most general scenario we show that the low recoil operator product expansion can be probed at the few-percent level using the angular observable J_7. Higher sensitivities are possible assuming no tensor contributions, specifically by testing the low-recoil relation |H_T^(1)|=1. We explicitly demonstrate the gain in reach of the low-recoil observables in accessing the ratio |C_9/C_10| compared to the forward-backward asymmetry, and probing CP-violating right-handed currents Im C_10'. We give updated Standard Model predictions for key observables in B -> K^(*) l^+ l^- decays.

17 pages, 4 figures. v2: Clarifications added, bug in mu_b handling in Fig 1 corrected. v3: 1/mb terms in tensor amplitudes clarified and sign of A_{t perp} corrected. Conclusions unchanged. v4: Corrected relation (signs) between the definition of tensor operators and appendix C; all numerics and conclusions unchanged

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