Abstract
We predict the amplitude of the B → Kℓ + ℓ − decay in the region of the dilepton invariant mass squared \( 0<{q^2}\leq m_{{{J \left/ {\psi } \right.}}}^2 \), that is, at large hadronic recoil. The B → K form factors entering the factorizable part of the decay amplitude are obtained from QCD light-cone sum rules. The nonlocal effects, generated by the four-quark and penguin operators combined with the electromagnetic interaction, are calculated at q 2 < 0, far below the hadronic thresholds. For hard-gluon contributions we employ the QCD factorization approach. The soft-gluon nonfactorizable contributions are estimated from QCD light-cone sum rules. The result of the calculation is matched to the hadronic dispersion relation in the variable q 2, which is then continued to the kinematical region of the decay. The overall effect of nonlocal contributions in B → Kℓ + ℓ − at large hadronic recoil is moderate. The main uncertainty of the predicted B → Kℓ + ℓ − partial width is caused by the B → K form factors. Furthermore, the isospin asymmetry in this decay is expected to be very small. We investigate the deviation of the observables from the Standard Model predictions by introducing a generic new physics contribution to the effective Hamiltonian.
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ArXiv ePrint: 1211.0234
Address after September 30, 2012: Physik Department T31, James-Franck-Straße, Technische Universität München, D-85748 Garching, Germany. (Y.-M. Wang)
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Khodjamirian, A., Mannel, T. & Wang, YM. B → Kℓ + ℓ − decay at large hadronic recoil. J. High Energ. Phys. 2013, 10 (2013). https://doi.org/10.1007/JHEP02(2013)010
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DOI: https://doi.org/10.1007/JHEP02(2013)010