  If there are multiple hidden sectors which independently break supersymmetry,
then the spectrum will contain multiple goldstini. In this paper, we explore
the possibility that the visible sector might also break supersymmetry, giving
rise to an additional pseudo-goldstino. By the standard lore, visible sector
supersymmetry breaking is phenomenologically excluded by the supertrace sum
rule, but this sum rule is relaxed with multiple supersymmetry breaking.
However, we find that visible sector supersymmetry breaking is still
phenomenologically disfavored, not because of a sum rule, but because the
visible sector pseudo-goldstino is generically overproduced in the early
universe. A way to avoid this cosmological bound is to ensure that an R
symmetry is preserved in the visible sector up to supergravity effects. A key
expectation of this R-symmetric case is that the Higgs boson will dominantly
decay invisibly at the LHC.
