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

Abstract

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 $alph{a}_s$. 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.

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

References in corpus (6)

• The 2009 World Average of ${\alpha }_s$
• Charm and Bottom Quark Masses: an Update
• Update of g-2 of the muon and Delta alpha
• The SUSY-QCD beta function to three loops
• Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops
• On Unification and Nucleon Decay in Supersymmetric Grand Unified Theories Based on SU(5)

Cited by in corpus (2)

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• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions