Higgs is given by $$\lambda(\tilde{m}) = \frac{g^2 + g'^2}{4}\, \cos^2\!2\beta,
\label{eq:lambda}$$ where $g$ and $g'$ are the $SU(2)_{\rm L}$ and $U(1)_{\rm Y}$ gauge couplings at $\tilde{m}$, we consider $\tan\beta \sim 1$. Such values of $\tan\beta$ are easily obtained, e.g., if $|\mu|^2 \gtrsim |m_{H_u,H_d}^2|$ or if $m_{H_u}^2$ and $m_{H_d}^2$ are nearly degenerate; see also the discussion in Section \[subsec:mSUGRA\]. With electroweak symmetry breaking, the SM quarks and leptons obtain masses through the standard Yukawa interactions in the superpotential $$W = y_U TTH + y_D T \bar{F} \bar{H} 
  + \frac{\eta_U}{\Lambda} \Sigma T T H 
  + \frac{\eta_D}{\Lambda} \Sigma T \bar{F} \bar{H} + \cdots,
\label{eq:Yukawa}$$ where we have suppressed the generation indices. Higher-dimension terms involving $\Sigma$ are needed to correct unwanted $SU(5)$ relations for the quark/lepton masses.

To summarize, the model is characterized by the following holomorphic part of the Kähler potential, $\tilde{K}$, and superpotential, $W$: $$\begin{aligned}
  \tilde{K} &= \Lambda^2\, f\Bigl( \frac{\Sigma}{\Lambda}, 
    \frac{H\bar{H}}{\Lambda^2} \Bigr),
\label{eq:model-K}\\
  W &= y_U\Bigl( \frac{\Sigma}{\Lambda} \Bigr)\, T T H 
    + y_D\Bigl( \frac{\Sigma}{\Lambda} \Bigr)\, T \bar{F} \bar{H}, 
\label{eq:model-W}\end{aligned}$$ (except for the terms needed for neutrino masses; see Section \[subsec:neutrino\]), where $f$ is a holomorphic function with the coefficients expected to be of order unity, and $y_U$ and $y_D$ are holomorphic functions 