The precision of the data collected at the Large Hadron Collider (LHC) demands an increasing theoretical accuracy at the multi-differential level to fully exploit the LHC potential. In this talk I will introduce a formalism for the resummation of transverse observables in direct space (RadISH formalism). As a phenomenological application, I will show accurate QCD predictions for single and double-differential observables for various colour-singlet processes at the LHC.