Generic formula of soft scalar masses in string models

Abstract

We derive a formula of soft supersymmetry-breaking scalar masses from four-dimensional string models within a more generic framework. We consider the effects of extra gauge symmetry breaking including an anomalous U͑1͒ breaking through flat directions, that is, D-term and F-term contributions, particle mixing effects, and heavy-light mass mixing effects. Some phenomenological implications are discussed based on our mass formula. ͓S0556-2821͑97͒03117-2͔

Soft masses in superstring models with anomalous U(1) symmetries

“…In the dilaton domination limit θ → π/2, it is enough that the charges q α are universal. This situation 4 The expression (6.13) differs from the one derived in [22,23,24] by the coefficient and the dependence on the Goldstino angle of the last term, which plays an important role for the issue of flavor universality. This can be traced back to the fact that the expression obtained by applying eq.…”

“…This computation was first done in [22,23], in the context of heterotic orbifold models with a single anomalous U (1), and generalized to type I models with several U (1)'s in [24]. In the following, we shall present a more general computation, which is valid for an arbitrary number of anomalous and non-anomalous U (1)'s, an arbitrary number of shifting and non-shifting moduli, and a generic supersymmetry breaking dynamics compatible with gauge invariance.…”

“…This can be traced back to the fact that the expression obtained by applying eq. (4.16) for the values of the auxiliary components of the Higgs fields differs from the one used in [22,23,23], where the dependence on H x implied by gauge invariance in the superpotential stabilizing S was not taken into account.…”

“…The structure of soft scalar masses in string models with anomalous U (1) factors, with a more general supersymmetry breaking sector and no assumption on the origin of supersymmetry breaking, has instead been first studied in [20,21] and in [22,23,24], with slightly different points of view. However, in these papers it was implicitly assumed that the hidden sector superpotential does not depend on the charged fields Higgsing the U (1) symmetries.…”

Superparticle sum rules in the presence of hidden sector dynamics

“…If the hidden sector dynamics were strong and superconformal, conformal sequestering can occur and anomaly mediation can be dominant. [12,13,14,15,16] The scalar mass relations and sum rules have been also derived in various models [36,37,38,39,40,42,41,43,44,45]. In the future, we expect that they can be useful to probe a physics beyond the MSSM.…”