A search is presented for new resonances decaying to a $W$ or $Z$ boson and a Higgs boson in the $\ell\ell b\bar b$, $\ell\nu b\bar b$, and $\nu\nu b\bar b$ channels in $pp$ collisions at $\sqrt s = 13$~TeV with the ATLAS detector at the Large Hadron Collider using a total of $3.2\pm0.2$ fb$^{-1}$ of integrated luminosity. The search is conducted by examining the $WH$/$ZH$ invariant or transverse mass distribution, looking for a localized excess. No significant excess is observed, and the results are interpreted in terms of constraints on a simplified model based on a phenomenological Lagrangian of Heavy Vector Triplets and on the production cross-section of a heavy CP-odd scalar boson.

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