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

A bstract We present a fully-differential calculation of the H → b b ¯ decay at next-to-next-to-next-to-leading order (N 3 LO) 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 α s 3 y b 2 . 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 N 3 LO accuracy using the Durham jet algorithm in the Higgs rest frame.