Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules

D. J. Broadhurst, A. L. Kataev, C. J. Maxwell

The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\overline{MS}$-scheme in the limit of a large $N_f$. We find that in the facto…