Yukawa deflected gauge mediation

Abstract

We consider models which are natural extensions of those where supersymmetry is broken at low energy scales and transmitted to visible matter by gauge interactions. We investigate the situation where the quark and lepton superfields of the MSSM are localized to a brane in a higher dimensional space while the messenger fields and the sector which breaks supersymmetry dynamically are localized to another brane in the same space. The MSSM gauge and Higgs fields are assumed to propagate in the bulk. If some of the messenger fields and the Higgs fields have the same quantum numbers, this allows the possibility of mixing between these fields so that the physical Higgs and messenger fields are admixtures of the brane and bulk fields. This manifests itself in direct couplings of the quark and lepton fields to the physical messengers that are proportional to the MSSM Yukawa couplings and hence preserve the flavor structure of the CKM matrix. The result is new contributions to the soft supersymmetry breaking parameters that are related to the Yukawa couplings and which therefore naturally satisfy the constraints from FCNC's. For messenger scales greater then 1000 TeV these new contributions are parametrically of the same order of magnitude as gauge mediation. This scenario naturally avoids the cosmological problems associated with stable messengers and admits a simple and natural solution to the µ problem based on the NMSSM. * zchacko@thsrv.lbl.gov †

Phenomenology of the triplet seesaw mechanism with gauge and Yukawa mediation of SUSY breaking

“…[31] because an extra term proportional to the commutator [γ > Q , γ < Q ] appears in that work, which is manifestly inconsistent for a hermitian quantity such as m 2Q . We believe that the appearance of such a commutator is due to the improper definition of the RG equation for Z Q given in Eq.…”

“…By following the procedure outlined in Ref. [31], we have to formally integrate the above equation to obtain δZ 1/2 Q in terms of the anomalous dimension. Afterwards, the solution can be plugged into the expressions (A-4) to extract the SSB terms.…”

“…They are finite and can be evaluated either by diagrammatic computations or by means of a generalization of the wave function renormalization method proposed in Ref. [30,31]. For the sake of illustration, we have depicted in Fig.…”

“…[30] and subsequently presented in Ref. [31]. Consider the case in which the scales of SUSY breaking and its mediation to the observable sector are determined by the vev of the auxiliary and scalar components of a chiral singlet superfield X, X = M + θ 2 F (in the following M is taken to be real and |F | < M 2 , for consistency of the method).…”

Deflected anomaly mediation and neutralino dark matter

“…Many different solutions to this problem has been proposed [14,15,16,17,18,19,20,21,22,23,24] but one of the most interesting and elegant relies in considering an additional gauge mediated sector. By introducing N f messengers fields the RGE gets modified in such a way to avoid tachyons at the weak scale.…”