Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-11-20
Phys.Rev.D70:045018,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, LaTeX; additional comments
Scientific paper
10.1103/PhysRevD.70.045018
For one and two dimensional field theory orbifolds we compute in the DR scheme the full dependence on the momentum scale (q) of the one-loop radiative corrections to the 4D gauge coupling. Imposing a discrete "shift" symmetry of summing the infinite towers of associated Kaluza-Klein (KK) modes, it is shown that higher dimension operators are radiatively generated as one-loop counterterms for the case of two (but not for one) compact dimension(s). They emerge as a ``radiative mixing'' of effects (Kaluza-Klein infinite sums) associated with both compact dimensions. Particular attention is paid to the link of the one-loop corrections with their counterparts computed in infrared regularised 4D N=1 heterotic string orbifolds with N=2 sectors. The correction from these sectors usually ignores higher order terms in the IR string regulator (lambda_s->0) of type lambda_s ln(alpha'), but these become relevant in the field theory limit alpha'->0. Such terms ultimately re-emerge in pure field theory calculations of $\Pi(q^2)$ as higher dimension one-loop counterterms. We stress the importance of such terms for the unification of gauge couplings and for the predicted value of the string scale.
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