The precision of the data collected at the Large Hadron Collider (LHC) demands for 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). I will discuss phenomenological applications at the LHC for various colour-singlet processes and present accurate predictions at the single and double-differential level.