Soft gluon resummation for associated t t ¯ H $$ mathrm{t}overline{mathrm{t}}mathrm{H} $$ production at the LHC

We perform resummation of soft gluon corrections to the total cross section for the process pp → $$ toverline{t}h $$ . the resummation is carried out at next-to-leading-logarithmic (nll) accuracy using the mellin space technique, extending its application to the class of 2 → 3 processes. we present an analytical result for the soft anomalous dimension for a hadronic production of two coloured massive particles in association with a colour singlet. we discuss the impact of resummation on the numerical prediction for the associated higgs boson production with top quarks at the lhc.