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Viktor Svensson
Wilson lines lightcone generating function
Abstract
In the thesis, we consider basic properties of Wilson lines, special attention is devoted to the renormalization and exponentiation property. We describe the generating function approach to non-abelian exponentiation and perform the calculation of the correlator of two and three semi-infinite Wilson lines meeting at a single point to two-loop order. We consider Wilson lines on lightcone and regularize infrared divergences with a δ-regulator. The three line calculation is done within the generating function approach. Using this calculation, we derive the cusp anomalous dimension and soft anomalous dimension at two-loop order. The obtained result to be used for the higher order analysis of soft factor and can be used for application in multi-hadron factorization theorems, threshold resummation, etc.
LU TP 15-23
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