Correlator of the quark scalar currents and Gamma(tot)(H->hadrons) at O(alpha(s)(3)) in pQCD

We present the results of the analytical evaluation of the massless four-loop O(alpha(s)(3)) correction to the correlator of the quark scalar currents and the Higgs decay rate into hadrons. In numerical form we found (in <(MS)over bar> scheme) that Gamma(H --> (b) over bar b) = (3G(F)/4 root 2 pi) M(H)m(b)(2)(M(H)) [1 + 5.667 alpha(s)/pi + (35.94 - 1.359n(f)) (alpha(s)/pi)(2) + (164.139 - 25.771n(f) + 0.259n(f)(2)) (alpha s/pi(3)] where n(f) is the number of quark flavour and alpha(s) = alpha(s)(M(H)).