tWH associated production at the LHC
Résumé
We study Higgs boson production in association with a top quark and a $W$ boson at the LHC. At next-to-leading order (NLO) in QCD, this process interferes with $t\bar t H$ production and a procedure to meaningfully separate the two processes needs to be employed. In order to define $tWH$ production for both total rates and differential distributions, we consider the methods that have been previously proposed for treating intermediate resonances at NLO, in particular in the context of $tW$ production. To this aim, we first critically revisit the $tW$ process, for which an extensive literature exists and where an analogous (yet smaller) interference with $t \bar t$ production takes place. We analyse the currently employed techniques, including implementations of diagram removal and diagram subtraction, which feature approximations that need to be carefully taken into account when theoretical predictions are compared to experimental measurements. We then provide robust results for total and differential cross sections for $tW$ and $tWH$ at the LHC at 13 TeV, at the parton level as well as by matching short-distance events to a parton shower. We include a reliable prescription to estimate the theoretical uncertainties, including those associated to the very definition of the process at NLO. Finally, we study the sensitivity to a non-Standard-Model relative phase between the Higgs couplings to the top quark and to the $W$ boson in $tWH$ production.