The main background in ttH production with H decaying to bbar is coming from ttbar produced with a gluon splitting into a b-bbar pair.
In the case of the production of a Higgs, which is a color singlet particle, the color connection takes place between the two b quarks while in the case of the background, as the gluon is a color octet, the two b quarks in the final state are color connected independently of each other to the particles from the initial state.
New tools based on jet energy pattern in the eta-phi plane have been proposed to measure color flow between a jet pair and distinguish color octet from color singlet states [ref if needed]. A first study of color flow has been performed at the D0 experiment but was highly statistically limited [ref if needed]. 
The application of such tool to real collider data at the LHC requires detailed understanding of the detector, precise knowledge of the jet structure, energy clusters and tracks. It can be studied using ttbar events that provide a clean sample of color singlets studying hadronically decaying W bosons coming from top quark decays.  Such innovative techniques can potentially significantly enhance the sensitivity of the ttH measurement.