Search for resonances decaying into a weak vector boson and a Higgs boson in the fully hadronic final state produced in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>proton</mml:mi><mml:mo>−</mml:mo><mml:mi>proton</mml:mi></mml:mrow></mml:math> collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>13</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math> with the ATLAS detector

A search for heavy resonances decaying into a $W$ or $Z$ boson and a Higgs boson produced in $\mathrm{proton}\ensuremath{-}\mathrm{proton}$ collisions at the Large Hadron Collider at $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}$ is presented. The analysis utilizes the dominant $W\ensuremath{\rightarrow}q{\overline{q}}^{\ensuremath{'}}$ or $Z\ensuremath{\rightarrow}q\overline{q}$ and $H\ensuremath{\rightarrow}b\overline{b}$ decays with substructure techniques applied to large-radius jets. A sample corresponding to an integrated luminosity of $139\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected with the ATLAS detector is analyzed and no significant excess of data is observed over the background prediction. The results are interpreted in the context of the heavy vector triplet model with spin-1 ${W}^{\ensuremath{'}}$ and ${Z}^{\ensuremath{'}}$ bosons. Upper limits on the cross section are set for resonances with mass between 1.5 and 5.0 TeV, ranging from 6.8 to 0.53 fb for ${W}^{\ensuremath{'}}\ensuremath{\rightarrow}WH$ and from 8.7 to 0.53 fb for ${Z}^{\ensuremath{'}}\ensuremath{\rightarrow}ZH$ at the 95% confidence level.

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