Speaker
Dmitri Melikhov
(HEPHY, Vienna, Austria and SINP, Moscow, Russia)
Description
Nonfactorizable corrections induced by charm-quark loops in exclusive FCNC $B$-decays (i.e. $B$-decays induced by flavour-changing neutral currents) are discussed. We show that a consistent calculation of the appropriate QCD correlation function requires the full generic three-particle distribution amplitude (3DA) $\langle 0|\bar q(y)G_{\mu\nu}(x)b(0)|B(p)\rangle$ with non-aligned arguments: Expanding the latter 3DA amplitude near the light cone, one finds that the $B$-decay correlation function is dominated by the regions $x^2\sim 0$ and $y^2=0$, but $(x-y)^2\ne 0$. As the result, for a proper description of the amplitudes of FCNC $B$-decays, the full dependence of the 3DA on the variable $(x-y)^2$ is necessary.
Author
Dmitri Melikhov
(HEPHY, Vienna, Austria and SINP, Moscow, Russia)