Wave-Function Profile and SUSY Breaking in 5D Model with Fayet-Iliopoulos Terms

We systematically study VEVs of a gauge scalar field $\Sigma$ in a bulk U(1)vector multiplet and scalar fields in brane/bulk hypermultiplets charged underU(1) in the 5D $S^1/Z_2$ orbifold model with generic FI terms. A non-trivialVEV of $\Sigma$ generates bulk mass terms for U(1) charged fields, and theirzero modes have non-trivial profiles. In particular, in the SUSY-breaking case,bosonic and fermionic zero modes have Gaussian profiles. Such non-trivialprofiles are useful to explain hierarchical couplings. A toy model for SUSYbreaking is studied, and it yields sizable $D$-term contributions to scalarmasses. Because the overall magnitude of $D$-term contributions is the sameeverywhere in the bulk and also on both branes, we have to take into accountthese contributions and other SUSY-breaking terms to obtain a realisticdescription. We also give profiles and mass eigenvalues of higher modes.Comment: 23 pages, 23 figures; typos corrected, references update