The differential Higgs boson production cross sections are sensitive probes for new physics beyond the standard model. In particular, new physics may contribute in the gluon-gluon fusion loop, the dominant Higgs boson production mechanism at the LHC, and manifest itself as deviations from the expected standard model distributions. Combined spectra from the $H\to\gamma\gamma$, $H\to ZZ$ and $H\to b\bar{b}$ decay channels are presented, together with limits on the Higgs couplings using 35.9\,fb${}^{-1}$ of proton-proton collision data recorded with the CMS detector at \sqrt{s}=13\,TeV.

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