Speaker
Description
Generally, low energy Quantum Chromodynamics cannot be solved by perturbative methods. To overcome this discrepancy with respect to the high energy scale, which allows a perturbative calculation, a scale factorization can be performed through SCET. In this work, we will begin by outlining a brief introduction to the SCET formalism and we will also show that it is possible to decouple, in the Lagrangian, the collinear fields from the soft ones. However, it is essential to introduce the Wilson lines, which allow preserving the gauge invariance. Then, the study focuses on calculating the soft function associated to the interaction $p p \rightarrow V + j + X$. The zero-bin subtraction process and the logarithmic resummation are also used to eliminate the rapidity divergences and, through the equations of the renormalization group, a soft function without divergences is extracted. Finally, the soft function anomalous dimension is derived, which is necessary to perform a subsequent consistency check to make our results reliable.
