I would say that this is not physics but rather a detector/instrumentation effect. More specifically this could be due to the fact that the grey distribution is one that is collected with a high-$p_\mathrm{T}$ muon trigger. These triggers kick in at around 15-20 GeV. Depending on the topology of the event (angles) the invariant mass would of this range as well.
It is instructive to have a look at plots using different triggers.
1) in fact in the plot you reference there a a number of different trigger configurations (setup specifically for the resonances plus two general low/high pt trigger paths) superimposed over each other. 
2) here's a similar plot with muons trigger that do not have a pt threshold. notice the lack of a bump in the region you specified.

3) here a similar plot by ATLAS (from 2010) where only events passing the high pt muon threshold are plotted. Notice how the bump seems to reappear.