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

We study the impact of the pointlike <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>q</a:mi><a:msup><a:mover accent="true"><a:mi>q</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mo>′</a:mo></a:msup><a:mi>W</a:mi><a:mi>H</a:mi></a:math> interactions originating from a subset of dimension-six operators of the Standard Model effective field theory (SMEFT) on the Higgs boson associated production <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>p</e:mi><e:mi>p</e:mi><e:mo stretchy="false">→</e:mo><e:msup><e:mi>W</e:mi><e:mo>+</e:mo></e:msup><e:mi>H</e:mi></e:math> at the LHC. For consistency, we also take into account the corresponding <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>q</h:mi><h:msup><h:mover accent="true"><h:mi>q</h:mi><h:mo stretchy="false">¯</h:mo></h:mover><h:mo>′</h:mo></h:msup><h:mi>W</h:mi></h:math> vertices implied by these operators. We compute the next-to-next-to-leading order quantum chromodynamics (QCD) corrections to this process and compare these corrections in the Standard Model and SMEFT production mechanisms.