Systematics of string loop threshold corrections in orbifold models

Abstract

String theory one-loop threshold corrections are studied in a background field approach due to Kiritsis and Kounnas which uses space-time curvature as an infrared regulator. We review the conformal field theory aspects using the semiwormhole space-time solution. The comparison of string and effective field theories vacuum functionals is made for the low derivative order, as well as for certain higher-derivative, gauge and gravitational interactions. We study the dependence on the infrared cut-off. Numerical applications are considered for a sample of four-dimensional abelian orbifold models. The implications on the perturbative string theory unification are examined. We present numerical results for the gauge interactions coupling constants as well as for the quadratic order gravitational ($R^2$) and the quartic order gauge ($F^4$) interactions.