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This is a doctoral thesis dissertation developed in the frame of theoreticalQCD predictions, with focus on two main topics. On the one hand, thelarge-order bahavior of perturbative QCD series is discussed. By reviewing themain literature, a cohesive discussion is made that includes the topics oflarge-order divergencies in QCD, renormalons, summation methods for asymptoticseries and non-perturbative power corrections. A formalism for perturbative QCDseries in the large-$\beta_0$ is presented, which allows for (1) thecomputation of the series, its renormalization factor and anomalous dimension,(2) the sum of all these quantities, (3) the study of the renormalon structureof the series and (4), the ambiguity in the sum due to IR renormalons, which isassociated with the size of non-power corrections. Original and published workhas been made to develop this formalism for both series without and withcusp-anomalous dimension. A large number of applications of our formalism arealso presented, covering the short-distance mass schemes $\bar{\rm MS}$ andMSR, the QCD-to-SCET and SCET-to-bHQET matching coeficients and the SCET andbHQET jet functions. On the other hand, original and also published work infixed-order perturbation theory is also carried out in the field of eventshapes. The event-shape distribution for $e^+e^-$ to hadrons is computed to NLOdifferential with respect to the angle between the initial beam and the thrustaxis of the event. The relevant finding is the presence of the quark massalready at $\cal{O}(\alpha_s^0)$ for the vector current. Finally, thedissertation also contains a brief study on the FOPT-CIPT difference in thecontext of tau decays.

Asymptoticity of QCD and massive, oriented event-shapes