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We present a fully-differential calculation of the $H\rightarrowb\overline{b}$ decay at next-to-next- to-next-to-leading order (N$^3$LO)accuracy. Our calculation considers diagrams in which the Higgs boson couplesdirectly to the bottom quarks, i.e. the perturbative order we consider is$\mathcal{O}(\alpha_s^3y_b^2)$. In order to regulate the infrared divergencespresent at this order we use the Projection-to-Born technique coupled withN-jettiness slicing. After validating our methodology atnext-to-next-to-leading order (NNLO) we present exclusive jet rates anddifferential distributions for jet observables at N3LO accuracy using theDurham jet algorithm in the Higgs rest frame.

N$^{3}$LO predictions for the decay of the Higgs boson to bottom quarks