Observational consequences of tidal disruption of stars (TDEs) by
supermassive black holes (SMBHs) can enable us to discover quiescent SMBHs,
constrain their mass function, study formation and evolution of transient
accretion disks and jet formation. A couple of jetted TDEs have been recently
claimed in hard X-rays, challenging jet models, previously applied to
γ-ray bursts and active galactic nuclei. It is therefore of paramount
importance to increase the current sample. In this paper, we find that the best
strategy is not to use up-coming X-ray instruments alone, which will yield
between several (e-Rosita) and a couple of hundreds (Einstein Probe) events per
year below redshift one. We rather claim that a more efficient TDE hunter will
be the Square Kilometer Array (SKA) operating {\it in survey mode} at 1.4 GHz.
It may detect up to several hundreds of events per year below z∼2.5 with
a peak rate of a few tens per year at z≈0.5. Therefore, even if the
jet production efficiency is {\it not } 100% as assumed here, the predicted
rates should be large enough to allow for statistical studies. The
characteristic TDE decay of t−5/3, however, is not seen in radio, whose
flux is quite featureless. {\it Identification} therefore requires localization
and prompt repointing by higher energy instruments. If radio candidates would
be repointed within a day by future X-ray observatories (e.g. Athena and
LOFT-like missions), it will be possible to detect up to ≈400 X-ray
counterparts, almost up to redshift 2. The shortcome is that only for
redshift below ≈0.4 the trigger times will be less than 10 days from
the explosion. In this regard the X-ray surveys are better suited to probe the
beginning of the flare, and are therefore complementary to SKA.Comment: Astrophysical Journal (revised version