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

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

2010-11-12

arxiv.org/abs/1011.2927v2

JHEP 1101:104,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 2 figures. V2: References added, minor additions, corrected typos in eqs. (41),(70) and (71), version published in J

Scientific paper

10.1007/JHEP01(2011)104

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 technical details regarding renormalization procedure, tadpole terms, gauge fixing and the treatment of group theory factors, which is useful preparative work for the extension of the calculation to supersymmetric GUTs.

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