diff --git a/benchmarks/neutron/analysis/neutron_plots.py b/benchmarks/neutron/analysis/neutron_plots.py
index fc1d5b30e6249a1ee5cc9ee51a1b1cce4225f238..5d61d1ceb184e8b65d3ebe1ed7ab9dcaf7b96206 100644
--- a/benchmarks/neutron/analysis/neutron_plots.py
+++ b/benchmarks/neutron/analysis/neutron_plots.py
@@ -110,9 +110,17 @@ for eta_min, eta_max in zip(r[:-1],r[1:]):
             pass
     plt.sca(axs[1])
     plt.errorbar(xvals, sigmas, dsigmas, ls='', marker='o', label=f"${eta_min}<\\eta<{eta_max}$")
+    if eta_min==3.4:
+        fnc=lambda E, a, b: np.hypot(a,b/np.sqrt(E))
+        p0=[.002,.05]
+        coeff, var_matrix = curve_fit(fnc, xvals, sigmas, p0=p0,sigma=dsigmas)
+        xx=np.linspace(15, 85, 100)
+        axs[1].plot(xx, fnc(xx,*coeff), color='tab:purple',ls='--',
+            label=f'fit ${eta_min:.1f}<\\eta<{eta_max:.1f}$:\n'+\
+                f'({coeff[0]:.2f}$\\oplus\\frac{{{coeff[1]:.1f}}}{{\\sqrt{{E}}}}$) mrad')
 plt.xlabel("$p_{n}$ [GeV]")
 plt.ylabel("$\\sigma[\\theta]$ [mrad]")
-plt.ylim(0)
+plt.ylim(0, 10)
 plt.legend()
 plt.tight_layout()
 plt.savefig(outdir+"neutron_theta_recon.pdf")
@@ -203,6 +211,7 @@ plt.savefig(outdir+"neutron_energy_params.pdf")
 print("making energy recon plot")
 fig, axs=plt.subplots(1,3, figsize=(24,8))
 partitions=[3.2,3.4, 3.6, 3.8, 4.0]
+
 for eta_min, eta_max in zip(partitions[:-1],partitions[1:]):
     pvals=[]
     resvals=[]
@@ -213,7 +222,6 @@ for eta_min, eta_max in zip(partitions[:-1],partitions[1:]):
         best_res=1000
         res_err=1000
 
-
         wrange=np.linspace(30, 70, 30)*0.0257
         
         w=w_avg
@@ -268,14 +276,21 @@ for eta_min, eta_max in zip(partitions[:-1],partitions[1:]):
     
     
     plt.ylabel("$\\mu[E]/E$")
-
-
+    if eta_min==3.4:
+        fnc=lambda E, a, b: np.hypot(a,b/np.sqrt(E))
+        p0=[.1,.5]
+        coeff, var_matrix = curve_fit(fnc, pvals, resvals, p0=p0,sigma=reserrs)
+        xx=np.linspace(15, 85, 100)
+        axs[1].plot(xx, fnc(xx,*coeff), color='tab:purple',ls='--',
+            label=f'fit ${eta_min:.1f}<\\eta<{eta_max:.1f}$:\n'+\
+                f'{coeff[0]*100:.1f}%$\\oplus\\frac{{{coeff[1]*100:.0f}\\%}}{{\\sqrt{{E}}}}$')
+        
 axs[2].set_xlabel("$p_n$ [GeV]")
 axs[2].axhline(1, ls='--', color='0.5', alpha=0.7)
 axs[0].set_ylim(0)
 axs[1].set_ylim(0, 0.35)
 axs[2].set_ylim(0)
-axs[1].legend()
-axs[2].legend()
+axs[1].legend(fontsize=20)
+axs[2].legend(fontsize=20)
 plt.tight_layout()
 plt.savefig(outdir+"neutron_energy_recon.pdf")