https://doi.org/10.1140/epjc/s10052-011-1635-0
Regular Article - Theoretical Physics
Theory of B→K (∗) l + l − decays at high q 2: OPE and quark–hadron duality
1
Fakultät für Physik, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333, Munich, Germany
2
Theory Division, CERN, 1211, Geneva 23, Switzerland
3
Physik Department, Technische Universität München, James-Franck-Straße, 85748, Garching, Germany
4
IPPP, Department of Physics, University of Durham, Durham, DH1 3LE, UK
* e-mail: gerhard.buchalla@lmu.de
Received:
7
February
2011
Revised:
31
March
2011
Published online:
10
May
2011
We develop a systematic framework for exclusive rare B decays of the type B→K (∗) l + l − at large dilepton invariant mass q 2. It is based on an operator product expansion (OPE) for the required matrix elements of the nonleptonic weak Hamiltonian in this kinematic regime. Our treatment differs from previous work by a simplified operator basis, the explicit calculation of matrix elements of subleading operators, and by a quantitative estimate of duality violation. The latter point is discussed in detail, including the connection with the existence of an OPE and an illustration within a simple toy model.
© Springer-Verlag / Società Italiana di Fisica, 2011
