  In light of recent LHC results for the extraction of the $B_s$ mixing phase
$\phi_s$, we can already conclude that if New Physics (NP) is present in this
observable, it is hiding pretty well. Thus, as our hunt continues, we must be
weary not to confuse NP for penguin effects, or vice versa. In this talk the
progress made towards addressing hadronic uncertainties in extractions of
$\phi_s$ from $B_s\to J/\psi \phi$ is reviewed, and the nature of the scalar
$f_0(980)$ state, which plays a dominant role in the extraction of $\phi_s$
from the $B_s\to J/\psi \pi^+\pi^-$ decay, is discussed.
