\to t\bar t$ and $pp \to b t\bar t$ respectively. ](diffcros.pdf)

The width of $g^1$ is strongly dominated by the states close to the IR brane to which it couples strongly. Generically, the partial width into $f \bar{f}$ for which the left- and right-chiral interactions with $g^1$ are $g_L$ and $g_R$ is given by, $$\begin{aligned}
\Gamma_{G1 \rightarrow f \bar{f}} & = & \frac{1}{48 \pi M_{g^1}}
\sqrt{1 - \frac{4 m^2_f}{M^2_{g^1}}} 
\left[ \left( g_L^2 + g_R^2 \right) \left(M_{g^1}^2-m_f^2 \right)
+ 6 g_{L} g_{R} m_f^2 \right] \nonumber \\
 & \simeq & \frac{M_{g^1}}{48 \pi} \left( g_L^2 + g_R^2 \right) ~,
\label{decayequation}\end{aligned}$$ where the final approximation holds in the limit $M_{g^1} \gg m_f$. Decays to top quarks are always important, because either $t_R$ or $Q_3$ must be IR-localized to realize the large top mass. In addition, when the custodial partner KK quarks are light enough for $g^1$ to decay into them, they will also take a substantial fraction of the branching ratio, because they are also IR-localized and have large coupling. The IR boundary kinetic terms can suppress the coupling to top, and enhance the decay into light quarks. In Table \[tab:brs\] we list the branching ratios into top quarks, bottom quarks, light quarks (jets) 