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Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total tt production cross section at the Linear Collider have been calculated recently. In this article the NNLO calculations of several groups are compared and the remaining uncertainties are discussed. The theoretical prospects for an accurate determination of top quark mass parameters are discussed in detail. An outlook on possible future improvements is given.

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The perturbative corrections of order αs to the coefficient functions of the operator product expansion for the baryonic correlator are calculated. These corrections change considerably the numerical values of the mass and residue for the proton extracted from the sum rules and improve the agreement between the theoretical estimates and experimental data.

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