N³LO predictions for the decay of the Higgs boson to bottom quarks

We present a fully-differential calculation of the $H\to b\overline{b}$ decay at next-to-next-to-next-to-leading order (N³LO) accuracy. Our calculation considers diagrams in which the Higgs boson couples directly to the bottom quarks, i.e. the perturbative order we consider is $O\left({\alpha }_s^3{y}_b^2\right)$. In order to regulate the infrared divergences present at this order we use the Projection-to-Born technique coupled with N -jettiness slicing. After validating our methodology at next-to-next-to-leading order (NNLO) we present exclusive jet rates and differential distributions for jet observables at N³LO accuracy using the Durham jet algorithm in the Higgs rest frame.