  We analyze the possibility of probing anomalous Higgs couplings in the rare
decays $H \to Z V$, $V$ being a vector quarkonium state. These rare decays
involve both gauge as well as the Yukawa sectors and either of them can
potentially be anomalous. We show that the branching fractions for $H \to Z V$
decays in Standard Model are small, making it a sensitive probe for anomalous
Higgs couplings originating from physics beyond Standard Model. Moreover, as
both $V$ and $Z$ can decay into pair of charged leptons, they provide
experimentally clean channels and future LHC runs should observe such decays.
We perform a model independent analysis and show how angular asymmetries can be
used to probe these anomalous Higgs couplings, taking further decays of $V$ and
$Z$ to pair of charged leptons into account. The angular asymmetries can
provide significant information about anomalous Higgs couplings in both gauge
and Yukawa sectors.
