We investigate the gauge coupling renormalization in orbifold field theories preserving 4D N=1 supersymmetry in the framework of 4D effective supergravity. As a concrete example, we take the 5D Super-Yang-Mills theory on a slice of AdS5. It is noted that the scale anomaly associated with the warp factor plays a crucial role in the gauge coupling renormalization. A severe constraint on the power-law cutoff-dependent corrections is discussed under a plausible assumption on the high energy property of graviphoton, implying that the holomorphic parts of different non-abelian gauge couplings accomodating the power-law corrections are quantized in the common unit set by the radion VEV. It is also pointed out that the dominant logarithmic renormalization can be read off from the moduli-dependence of gauge couplings which is determined by the tree-level Kähler potential of 4D effective supergravity.
Kiwoon Choi, Hyung Do Kim and Yeon Woo Kim, “Gauge coupling renormalization in orbifold field theories,” hep-ph/0202257.