CERN Accelerating science

\small A scan of SUSY particle masses projected onto the ($T$, $\epsilon_3$) (top), the ($\Omega$, $M_G/M_G^{\rm deg*}$) (middle) and ($C/2 \pi$, $\alpha_G^{-1}-\alpha_G^{*-1}$) (bottom) planes. In the middle and bottom plots, the precise gauge unification $(|\epsilon_3| < 0.1 \%)$ is required, and the colour-codes represent typical SUSY scales $\sqrt{M_3 M_2}$ and $(M_3 M_2 m_{\tilde f})^{\frac{1}{3}}$, respectively. The dashed lines represent the one-loop relations Eq.\,\eqref{eq:e3_rep}, \eqref{eq:rel1} and \eqref{eq:rel2} for the top, middle and bottom plots, respectively.

\small A scan of SUSY particle masses projected onto the ($T$, $\epsilon_3$) (top), the ($\Omega$, $M_G/M_G^{\rm deg*}$) (middle) and ($C/2 \pi$, $\alpha_G^{-1}-\alpha_G^{*-1}$) (bottom) planes. In the middle and bottom plots, the precise gauge unification $(|\epsilon_3| < 0.1 \%)$ is required, and the colour-codes represent typical SUSY scales $\sqrt{M_3 M_2}$ and $(M_3 M_2 m_{\tilde f})^{\frac{1}{3}}$, respectively. The dashed lines represent the one-loop relations Eq.\,\eqref{eq:e3_rep}, \eqref{eq:rel1} and \eqref{eq:rel2} for the top, middle and bottom plots, respectively.

\small A scan of SUSY particle masses projected onto the ($T$, $\epsilon_3$) (top), the ($\Omega$, $M_G/M_G^{\rm deg*}$) (middle) and ($C/2 \pi$, $\alpha_G^{-1}-\alpha_G^{*-1}$) (bottom) planes. In the middle and bottom plots, the precise gauge unification $(|\epsilon_3| < 0.1 \%)$ is required, and the colour-codes represent typical SUSY scales $\sqrt{M_3 M_2}$ and $(M_3 M_2 m_{\tilde f})^{\frac{1}{3}}$, respectively. The dashed lines represent the one-loop relations Eq.\,\eqref{eq:e3_rep}, \eqref{eq:rel1} and \eqref{eq:rel2} for the top, middle and bottom plots, respectively.

\small Points with precise gauge unification projected onto the ${\rm min}(M_2, \mu, m_A)$ vs $M_G$ plane. The blue, green and orange points correspond to the points where $M_2$, $\mu$ and $m_A$ is the smallest among them, respectively. The regions below a black-dashed or a red-solid line are excluded by the quoted future or current limits on the proton lifetime. The black-solid line represents the upper bound found at the one-loop level in Eq.\,\eqref{eq:bound}.

\small Points with precise gauge unification projected onto the ($M_3$, $M_2$) plane. The colour-code shows $(\mu^4 m_A)^{\frac{1}{5}}$. The regions above the black-dashed and red-solid lines are excluded by the quoted future or current limits on $\tau_{p \to \pi^0 e^+}$. The three diagonal lines correspond to $R \equiv M_3/M_2 = 1$, 3 and 7 from top to bottom. In this plot the upper boundaries of $\mu$ and $m_A$ scans are extended up to $10^7$\,TeV.