Momentum-space threshold resummation in $tW$ production at the LHC

We calculate the soft-gluon corrections for tW production to all orders. The soft limit is defined in the pair invariant mass or one particle inclusive kinematic schemes. We find that at NLO the contribution of the soft-gluon effect dominates in the total cross section or the differential distributions. After resumming the soft-gluon effect to all orders using the renormalization group equation, we find that the NLO+NNLL results increase the NLO cross sections by 12% ∼ 17% depending on the scheme and the collider energy. Our results are in agreement with the measurements at the 8 and 13 TeV LHC. We also provide predictions for the total cross section at the 14 TeV LHC.