added small comment on halo bias
@@ -889,7 +889,7 @@ Independent codes were utilized to test the accuracy of halo mass function predi
\begin{equation}
\log[(M^2/\bar{\rho}_m)dn/dM].
\end{equation}
-We note that while we maintain the $10^{-4}$ for our evaluations of $\sigma$, the accuracy degrades to a value of $5\times10^{-3}$ for the halo mass function evaluation, primarily at the high halo mass and high redshift domains. We find that this increased error is acceptable, as the level of precision is significantly better than the accuracy of current halo mass function models. This is demonstrated in Figure~\ref{fig:hmf}, where this calculation has been run for a single cosmology using the Tinker 2010 halo mass function. While there is a degradation in accuracy due to our current spline treatment of the log inverse of $\sigma(M)$, we note that it does not significantly degrade our halo mass function determination. While improvement on this remains a task for the future, the halo mass function varies between fitting functions significantly more than this remaining error. As of this time, we currently do not have error benchmarks for the halo bias function and this remains a priority.
+We note that while we maintain the $10^{-4}$ for our evaluations of $\sigma$, the accuracy degrades to a value of $5\times10^{-3}$ for the halo mass function evaluation, primarily at the high halo mass and high redshift domains. We find that this increased error is acceptable, as the level of precision is significantly better than the accuracy of current halo mass function models. This is demonstrated in Figure~\ref{fig:hmf}, where this calculation has been run for a single cosmology using the Tinker 2010 halo mass function. While there is a degradation in accuracy due to our current spline treatment of the log inverse of $\sigma(M)$, we note that it does not significantly degrade our halo mass function determination. While improvement on this remains a task for the future, the halo mass function varies between fitting functions significantly more than this remaining error. As of this time, we currently do not have error benchmarks for the halo bias function, though it should be noted that this calculation does not involve any additional functions beyond $\sigma(M)$ and should hold to the $10^{-4}$ tolerance level.
\begin{figure*}
\includegraphics[width=0.32\textwidth]{hmf_model1.eps}
