Theoretical predictions for t tW cross sections at approximate N³LO

We present theoretical calculations of higher-order QCD and electroweak corrections for the associated production of a top-antitop quark pair and a W boson (t tW production) at LHC energies. We show predictions for cross sections at approximate N³LO (aN³LO) which include second-order and third-order soft-gluon corrections added to the exact NLO QCD+electroweak result. We compare our results to recent measurements from the LHC, and we find that our predictions provide improved agreement with the data. We also calculate the top-quark transverse momentum and rapidity distributions in t tW production. We find significant enhancements from the higher-order corrections to the total and differential cross sections for this process.