  Unlike mergers of two compact objects containing a neutron star (NS), binary
black hole (BBH) mergers are not accompanied by the production of tidally
disrupted material, and hence lack the most direct source of accretion to power
a jet and generate electromagnetic (EM) radiation. However, following a
tentative detection by the Fermi GBM of a $\gamma$-ray counterpart to GW150914,
several alternative ideas were proposed for driving a jet and producing EM
radiation. {\em If} such jets were in fact produced, they would however lack
the bright cocoon emission that makes jets from binary NSs bright also at large
viewing angles. Here, via Monte Carlo simulations of a population of BBH
mergers with properties consistent with those inferred from the existing
LIGO/Virgo observations, and the angular emission characteristic of jets
propagating into the interstellar medium, we derive limits on the allowed
energetics and Lorentz factors of such jets from EM follow ups to GW-detected
BBH merger events to date, and we make predictions which will help tighten
these limits with broadband EM follow ups to events in future LIGO/Virgo runs.
The condition that $\lesssim 1$ event out of 10 GW-detected BBH mergers be
above the Fermi/GBM threshold imposes that any currently allowed emission model
has to satisfy the condition $E_{\rm iso}/(10^{49} {\rm
erg})(\theta_{jet}/20^\circ)\lesssim 1$.
