Soft gluon resummation at fixed invariant mass for associated $t\bar{t}H$ production at the LHC

In the following we present our results on resummation of invariant mass threshold corrections for the $2\to 3$ type hadronic production processes in the Mellin moment space formalism. This method is applied to the associated Higgs boson production process $pp\to t\bar{t}H$ at the LHC. The results for the total cross section, the differential distribution with respect to the invariant mass and their uncertainties are presented.