Correlator of the quark scalar currents and Γtot(H → hadrons) at O(αs3) in pQCD

We present the results of the analytical evaluation of the massless four-loop O(αs3) correction to the correlator of the quark scalar currents and the Higgs decay rate into hadrons. In numerical form we found (in MS scheme) that Γ(H→bb)=(3GF42π)MHmb2(MH)[1+5.667αsπ+(35.94−1.359nf)αsπ)2+(164.139−25.771nf+0.259nf2)(αsπ)3] where nf is the number of quark flavour and αs = αs(MH).