Among experimental processes for testing precisely the Standard Model (SM) and searching
for possible physics beyond the SM, rare bottom-hadron decays induced by the $b \to s$
and $b \to d$ flavor-changing neutral currents attract a lot of attention.
Radiative and semileptonic $B$-meson decays with $\rho^0$, $\omega$, and
$\phi$ meson in the final state like $B_s^0 \to \rho^0 (\omega) \gamma$,
$B_s^0 \to \rho^0 (\omega) \ell^+ \ell^-$, $B^0 \to \phi \gamma$, and
$B^0 \to \phi \ell^+ \ell^-$, being mainly of pure annihilation-type topology,
are of significant interest as in the SM they are extremely suppressed and New Physics
effects can increase substantially their decay widths. Experimental searches
of some of them were undertaken at the KEKB and LHC colliders.
The upper limit on the radiative decay branching fraction,
${\cal B} (B^0 \to \phi \gamma) < 1.0 \times 10^{-7}$,
obtained by the Belle collaboration in 2016, was the only one for quite some time.
In 2022, the LHCb collaboration put the upper limit on its semileptonic counterpart,
${\cal B} (B^0 \to \phi \mu^+ \mu^-) < 3.2 \times 10^{-9}$.
Here, we consider a theory of the annihilation-type semileptonic
$B^0 \to \phi \ell^+ \ell^-$ decays, where $\ell$ is a charged lepton,
and present SM theoretical predictions for their branching fractions based
on the Effective Electroweak Hamiltonian approach for the $b \to d \ell^+ \ell^-$ transitions.
An impact of theoretical models for the $B$-meson distribution amplitudes
on these decays is also discussed.