$WH$ production at the LHC within SMEFT at next-to-next-to-leading order QCD

We study the impact of $q{\bar{q}}^{\mathrm{\prime }}W$ and $q{\bar{q}}^{\mathrm{\prime }}WH$ interactions, originating from dimension-six operators of the Standard Model Effective Field Theory (SMEFT), on the Higgs boson associated production $pp\to W^{+}H$ at the LHC. We compute the next-to-next-to-leading order QCD corrections to this process and compare these corrections in the Standard Model and SMEFT production mechanisms.