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Measurement of $Z$ bosons produced in association with charm jets $(Zc)$ inproton-proton collisions in the forward region provides a direct probe of apotential non-perturbative (intrinsic) charm component in the proton wavefunction. We provide a detailed study of the potential to measure $Zc$production at the LHCb experiment in Runs 2 and 3 of the LHC. The sensitivityto valence-like (sea-like) intrinsic charm is predicted to be $\langle x\rangle_{\rm IC} \gtrsim 0.3\%(1\%)$. The impact of intrinsic charm on Higgsproduction at the LHC, including $Hc$, is also discussed in detail.

A direct probe of the intrinsic charm content of the proton