Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-05-05
Nucl.Phys.B455:59-82,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
Minor changes to references and discussion
Scientific paper
10.1016/0550-3213(95)00463-3
We examine the stability of the mass hierarchy in hidden-sector supergravity theories. We show that a quadratically divergent tadpole can appear at two loops, even in minimal supergravity theories, provided the theory has a gauge- and global-symmetry singlet with renormalizable couplings to the visible fields. This tadpole can destabilize the hierarchy. We also find a quadratically divergent two-loop contribution to the field-dependent vacuum energy. This result casts doubt on the efficacy of the "LHC mechanism" for controlling quadratic divergences. We carry out the two-loop calculation in a manifestly supersymmetric formalism, and explain how to apply the formalism in the presence of supersymmetry breaking to derive radiative corrections to the supersymmetric and soft supersymmetry-breaking operators. Our approach greatly simplifies the calculation and guarantees consistency of our results with the underlying supergravity framework.
Bagger Jonathan
Poppitz Erich
Randall Lisa
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