We determine the infinite volume coefficients of the perturbative expansionsof the self-energies of static sources in the fundamental and adjointrepresentations in SU(3) gluodynamics to order \alpha^{20} in the strongcoupling parameter \alpha. We use numerical stochastic perturbation theory,where we employ a new second order integrator and twisted boundary conditions.The expansions are obtained in lattice regularization with the Wilson actionand two different discretizations of the covariant time derivative within thePolyakov loop. Overall, we obtain four different perturbative series. For allof them the high order coefficients display the factorial growth predicted bythe conjectured renormalon picture, based on the operator product expansion.This enables us to determine the normalization constants of the leadinginfrared renormalons of heavy quark and heavy gluino pole masses and totranslate these into the modified minimal subtraction scheme (MS). We alsoestimate the four-loop \beta-function coefficient of the lattice scheme.
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