We extend earlier calculations of the one-loop contributions to the effective bose Lagrangian in supergravity coupled to chiral matter. We evaluate all logarithmically divergent contributions for arbitrary background scalar fields and space-time metric. We show that, with a judicious choice of gauge fixing and of the definition of the action expansion, much of the result can be absorbed into a redefinition of the metric and a renormalization of the Kähler potential. Most of the remaining terms depend on the curvature of the Kähler metric. Further simplification occurs in models obtained from superstrings in which the Kähler Riemann tensor is covariantly constant.

We present the full calculation of the divergent one-loop contribution to the effective boson Lagrangian for supergravity, including the Yang-Mills sector and the helicity-odd operators that arise from integration over fermion fields. The only restriction is on the Yang-Mills kinetic energy normalization function, which is taken diagonal in gauge indices, as in models obtained from superstrings. ͓S0556-2821͑97͒01002-3͔

The total one-loop effective scalar Lagrangian is given in an explicitly field-redefinition-invariant form for a general model with derivative self-couplings of the scalars and scalar couplings to graviton, gauge, and fermion fields. This result is then specialized to no-scale models, with a form of the Kahler potential that is suggested by the zero-slope limit of superstring theories.(2.17) where -.

We present the full result for the divergent one-loop contribution to the effective boson Lagrangian for supergravity coupled to chiral and Yang-Mills supermultiplets. We also consider the specific case of dilaton couplings in effective supergravity Lagrangians from superstrings, for which the one-loop result is considerably simplified.