AbelianDterms and the superpartner spectrum of anomaly-mediated supersymmetry breaking

We address the tachyonic slepton problem of anomaly mediated supersymmetry breaking using Abelian D terms. We demonstrate that the most general extra $U\left(1\right)\mathrm{}$ symmetry that does not disrupt gauge coupling unification has a large set of possible charges that solves the problem. It is shown that previous studies in this direction that added both an extra hypercharge D-term and another D-term induced by $B-L$ symmetry (or similar) can be mapped into a single D-term of the general ancillary ${U\left(1\right)\mathrm{}}_{\mathrm{a}}.$ The ${U\left(1\right)\mathrm{}}_{\mathrm{a}}$ formalism enables identifying the sign of squark mass corrections which leads to an upper bound of the entire superpartner spectrum given knowledge of just one superpartner mass.