Hypercharged Anomaly Mediation

TL;DR

It is shown that, in string models with the minimal supersymmetric standard model residing on D-branes, the bino mass can be generated in a geometrically separated hidden sector and Hypercharge mediation thus naturally teams up with anomaly mediation.

Abstract

We show that, in string models with the MSSM residing on D-branes, the bino mass can be generated in a geometrically separated hidden sector. Hypercharge mediation thus naturally teams up with anomaly mediation. The mixed scenario predicts a distinctive yet viable superpartner spectrum, provided that the ratio αbetween the bino and gravitino mass lies in the range 0.05 < |α| < 0.25, and m_{3/2} > 35 TeV. We summarize some of the phenomenological features of this scenario.

Figures (3)

• Figure 1: SUSY breaking on the hidden brane is mediated to the visible sector via an RR p-form. It produces a mass-splitting between the $U(1)$ boson $A_V$ and its superpartner. A more detailed account of the mechanism is given in rrform.
• Figure 2: Renormalization group running of $m_{H_u}$ (green), $m_{Q_3}$ (blue) and $m_{L_3}$ (red) for $\tan \beta = 10$, $m_{3/2} = 50$ TeV and $\alpha = 0.2$ for $M_\star = M_{GUT}$. We define $m_{H_u} \equiv m_{H_u}^2/\sqrt{|m_{H_u}^2|}$ and similarly for $m_{Q_3}$ and $m_{L_3}$. The contribution of pure hypercharge mediation is given by dashed lines and the separate contribution from anomaly mediation is represented by the corresponding dotted lines.
• Figure 3: Plot of the spectrum of hypercharged anomaly mediation for $\tan \beta = 10$ and $m_{3/2} = 50$ TeV as a function of $\alpha = M_1/m_{3/2}$. Instead of $m_{H_u}$ and $m_{H_d}$ we plot the $\mu$ term and the mass of the CP odd Higgs boson, $A$.