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We show that the production of a Higgs boson in association with a jet inproton-proton collisions is sensitive to the linear polarization of gluonsinside unpolarized protons. We present the analytical expressions, at leadingorder in perturbative QCD, for various transverse momentum dependentobservables, which can be measured at the LHC. Since there are no experimentalconstraints on the linearly polarized gluon distribution, its effects arestudied by adopting two different models. In particular, we find that the$\cos2\phi$ azimuthal asymmetry is a very promising observable because it couldgive access to the sign of this new distribution.

Linear polarization of gluons and Higgs plus jet production at the LHC