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We present the fully general, model independent study of a few raresemileptonic $B$ decays that get dominant contributions from $W$-annihilationand $W$-exchange diagrams, in particular $B^0 \to \bar{D}^0 \ell^+\ell^-$,where $\ell = e,\mu$. We consider the most general Lagrangian for the decay,and define three angular asymmetries in the Gottfried-Jackson frame, which aresensitive to new physics. We show how these angular asymmetries can be easilyextracted from the distribution of events in the Dalitz plot for $B \to D\ell^+ \ell^-$ decays. Especially a non-zero forward-backward asymmetry withinthe frame would give the very first hint of possible new physics. Theseobservations are also true for related decay modes, such as $B^+ \to D^+ \ell^+\ell^-$ and $B^0 \to D^0 \ell^+ \ell^-$. Moreover, these asymmetry signaturesare not affected by either $B^0$-$\bar{B}^0$ or $D^0$-$\bar{D}^0$ mixings.Then, this implies that both $B^0 \to \bar{D}^0 \ell^+ \ell^-$ and $B^0 \to D^0\ell^+ \ell^-$ as well as their CP conjugate modes can all be consideredtogether in our search for signature of new physics. Hence, it would be ofgreat importance to look for and study these decays in the laboratory, LHCb andBelle II in particular.

Probing new physics in $B \to D \ell^+ \ell^-$ decays by using angular asymmetries