(De)Constructing a Natural and Flavorful Supersymmetric Standard Model

Abstract

Using the framework of deconstruction, we construct simple, weakly-coupled supersymmetric models that explain the Standard Model flavor hierarchy and produce a flavorful soft spectrum compatible with precision limits. Electroweak symmetry breaking is fully natural; the mu-term is dynamically generated with no B mu-problem and the Higgs mass is easily raised above LEP limits without reliance on large radiative corrections. These models possess the distinctive spectrum of superpartners characteristic of "effective supersymmetry": the third generation superpartners tend to be light, while the rest of the scalars are heavy.

Figures (5)

• Figure 1: Pure gaugino mediated scenario (illustration on the left) vs. the two-site model of flavor described in section \ref{['section:modelC']} (illustration on the right).
• Figure 2: (Left) Typical values of $\tan \beta$ as a function of $\mu$ and the link field soft mass, assuming no suppression of gaugino masses and $F/M = 100$ TeV with $\theta_1 = \frac{\pi}{4}, \theta_2 = \frac{\pi}{5}, \theta_3 = \frac{\pi}{5}$. The overlaid red stripe indicates parameters leading to the observed value of $m_Z$. The green striped region at low $\tilde{m}_{\chi}$ is excluded by LEP bounds on $\tilde{\tau}_R$ NLSP. Bounds on $\mu$ from chargino mass limits vary between $90-200$ GeV in this scenario Meade:2009qv, and are not shown. (Right) Typical values of $\tan \beta$ assuming $\mathcal{O}(0.1)$ suppression of gaugino masses and $F/M = 700$ TeV with $\theta_1 = \frac{\pi}{4}, \theta_2 = \frac{\pi}{5}, \theta_3 = \frac{\pi}{5}$.
• Figure 3: One-loop running of $G_{SM}^{(1)}$ (blue) and $G_{SM}^{(2)}$ (red) inverse couplings $\alpha_i^{-1}(Q)$ for $\theta_1 = \theta_2 = \frac{\pi}{4}$, $\theta_3 = \frac{\pi}{6}$, $\langle \chi \rangle = 20$ TeV, and $\frac{\sqrt{F}}{M} = 10^3$ TeV, matched to measured SM gauge couplings at $\langle \chi \rangle$. Here $G_{SM}^{(1)}$ perturbatively unifies at $5 \times 10^9$ GeV.
• Figure 4: Contours of $\Delta m_K$ (left) and $\Delta m_B$ (right) in GeV as a function of squark masses in the gauge eigenbasis for the first two generations of down-type squark ($m_{\tilde{q}}$) and third generation ($m_{\tilde{b}}$), with $m_{\tilde{g}} = 800$ GeV. Limits on both mixings are satisfied over the full region of parameter space, assuming no additional CP violation.
• Figure 5: Range of squark masses in the gauge eigenbasis allowed by limits on $\epsilon_K$ for $m_{\tilde{g}} = 800$ GeV, assuming an additional $\mathcal{O}(1)$ CP-violating phase.