Revisiting nonfactorizable charm-loop effects in exclusive FCNC -decays
Anastasiia Kozachuk (D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia); Dmitri Melikhov (Faculty of Physics, University of Vienna, Vienna, Austria, Institute for High Energy Physics, Austrian Academy of Sciences, Vienna, Austria, D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia)
We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC B-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, . Moreover, the dependence of this quantity on the variable is essential for a proper account of the terms in the amplitudes of FCNC B-decays.