Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-11-14
Phys.Rev.D75:065009,2007; Erratum-ibid.D76:029902,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 4 figures, errors in the KK sums changing the consequent discussion on the 5D limit corrected
Scientific paper
10.1103/PhysRevD.75.065009
We compute the one-loop gauge couplings in six-dimensional non-Abelian gauge theories on the T^2/Z_2 orbifold with general GUT breaking boundary conditions. For concreteness, we apply the obtained general formulae to the gauge coupling running in a 6D SO(10) orbifold GUT where the GUT group is broken down to the standard model gauge group up to an extra U(1). We find that the one-loop corrections depend on the parity matrices encoding the orbifold boundary conditions as well as the volume and shape moduli of extra dimensions. When the U(1) is broken by the VEV of bulk singlets, the accompanying extra color triplets also affect the unification of the gauge couplings. In this case, the B-L breaking scale compatible with the gauge coupling unification is sensitive to the change of the compactification scales.
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