The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the one-loop corrections is given. Field theory anomalies and quantum contributions to soft supersymmetry breaking are discussed. The latter are sensitive to the precise choice of couplings that generate Pauli-Villars masses, which in turn reflect the details of the underlying theory above the scale of the effective cutoff. With a view to the implementation the Green-Schwarz and other mechanisms for canceling field theory anomalies under a $U\left(1\right)\mathrm{}$ gauge transformation and under the T-duality group of modular transformations, we show that the Kähler potential renormalization for the untwisted sector of orbifold compactification can be made invariant under these groups.

• Received 19 October 1999

DOI:https://doi.org/10.1103/PhysRevD.61.084028