 correction from the approximate form. Because the approximate form of the gluino-sbottom correction is equal to the terms in the exact form proportional to the $B_0$ Passarino-Veltman functions the discrepancy must be due to the terms in the exact form proportional to the $B_1$ Passarino-Veltman functions.

![We plot the $B_0^{\widetilde{g}}$ term against the $B_1^{\widetilde{g}}$ term ($B_0^{\widetilde{g}}$ and $B_1^{\widetilde{g}}$ are defined in the text). Darker shades represent increasing sbottom masses. As the sbottom masses increase from 1 TeV to $\ge$4 TeV, the $B_0^{\widetilde{g}}$ terms becomes smaller and the two terms are nearly the same magnitude. Furthermore, the points along the vertical line have $(\mu\tanb -A_b)\simeq0$.[]{data-label="fig:gl-B0B1"}](new_PLOTS/gluino-B0vsB1.pdf){width="56.00000%"}

We refer to the term in \[Eq:fullgluino\] containing the $B_{0(1)}$ Passarino-Veltman functions and its prefactor as the $``B_{0(1)}^{\widetilde{g}}"$ term. In \[fig:gl-B0B1\], the $B_0$ term is plotted against the $B_1^{\widetilde{g}}$ term. The color gradient from light to dark represents increasing sbottom masses from 1 TeV to $\ge$4 TeV. As the sbottom masses get pushed toward more than a few TeV, the $B_0^{\widetilde{g}}$ term decreases while the $B_1^{\widetilde{g}}$ term slightly increases, and the two terms are nearly the same magnitude. The increase in the $B_1^{\widetilde{g}}$ term can be understood by considering \[Eq:pass-velt-B1\] in the limit of large sbottom masses. For a fixed gluino mass[^3] and in the limit of large $x$, one finds for the $B_1^{\widetilde{g}}$ term, . Thus the $B_1^{\widetilde{g}}$ term grows logarithmically with increasing sbottom masses, which explains why there appears to be a constant vertical shift of $\sim$8% from the diagonal line along which the approximation is equal to the exact expression in \[fig:gl-ex-app\]. In this regime, where the $B_0^{\widetilde{g}}$ term is small, it is therefore important that the $B_1^{\widetilde{g}}$ term not be ignored. Fina