High precision calculation in quantum field theory

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The next decade will be crucial for our understanding of the fundamental structure of elementary particles and forces. The advent of high-energy colliders, the Large Hadron Collider and the International Linear Collider, will give access to a completely new energy domain and may uncover principally new physical phenomena such as the extra space dimensions or supersymmetry. On the other hand, the increasing accuracy of the low-energy experiments such as measurement of the muon anomalous magnetic moment in Brookhaven National Laboratory or the muon decay spectrum in TRIUMF also makes them sensitive probes of "new physics" beyond the standard model of elementary particles. In most cases the new physics shows up at a tiny deviation from the theoretical predictions based on the standard model. Thus high precision of the predictions becomes mandatory. The main goal of this project is the high precision calculation in a wide class of the quantum field theory problems which are of primary phenomenological importance for current and future experiments. The difficulty of the problem requires developing new theoretical and computational tools which are closely related to the fundamental concepts of the quantum field theory. Deeper understanding and development of these concepts are among the goals of the project.