TTP10-46 Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories

TTP10-46 Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories

TTP10-46 Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories

We calculate the two-loop matching corrections for the gauge couplings at the Grand Unification scale in a general framework that aims at making as few assumptions on the underlying Grand Unified Theory (GUT) as possible. In this paper we present an intermediate result that is general enough to be applied to the Georgi-Glashow $SU(5)$ as a toy model“. The numerical effects in this theory are found to be larger than the current experimental uncertainty on $\alpha_s$. Furthermore, we give many details of the calculation regarding renormalization procedure, tadpole terms, gauge fixing and the treatment of group theory factors, which is useful preparational work for the extension of the calculation to supersymmetric GUTs.

 W. Martens JHEP 1101 104 2011 PDF PostScript arXiv Programs and Data