diff --git a/beta_spectrum/visualize/__init__.py b/beta_spectrum/visualize/__init__.py
index 2b32e9a..149f3e8 100644
--- a/beta_spectrum/visualize/__init__.py
+++ b/beta_spectrum/visualize/__init__.py
@@ -206,7 +206,20 @@ class BetaSpectrumAnalyzer:
         n = self.config.A_number
         title = f"Beta-decay: {n}{parent} -> {n}{daughter}"
         if self._n_branches > 1:
-            title += f" ({self._n_branches} branches)"
+            # Count active branches (not excluded by neutrino mass or intensity cutoff)
+            active_branches = 0
+            for i, branch in enumerate(self._unified_branches):
+                branch_endpoint_keV = branch.endpoint_MeV * 1000
+                neutrino_mass_keV = self.config.neutrino_mass_MeV * 1000
+                is_excluded_by_mass = branch_endpoint_keV <= neutrino_mass_keV
+                is_excluded_by_intensity = branch.intensity < self.config.intensity_cutoff
+                if not is_excluded_by_mass and not is_excluded_by_intensity:
+                    active_branches += 1
+            
+            if active_branches < self._n_branches:
+                title += f" ({active_branches} of {self._n_branches} branches)"
+            else:
+                title += f" ({self._n_branches} branches)"
         return title
 
     def _format_branch_label(self, i: int) -> str:
@@ -214,7 +227,19 @@ class BetaSpectrumAnalyzer:
         branch = self._unified_branches[i]
         e0 = branch.endpoint_MeV * 1000
         intensity_pct = branch.intensity * 100
-        return f"Br. {i + 1}: {e0:.1f} keV ({intensity_pct:.1f}%)"
+        
+        # Check if branch is excluded
+        branch_endpoint_keV = branch.endpoint_MeV * 1000
+        neutrino_mass_keV = self.config.neutrino_mass_MeV * 1000
+        is_excluded_by_mass = branch_endpoint_keV <= neutrino_mass_keV
+        is_excluded_by_intensity = branch.intensity < self.config.intensity_cutoff
+        
+        if is_excluded_by_mass:
+            return f"Br. {i + 1}: {e0:.1f} keV ({intensity_pct:.1f}%) - excluded (endpoint < m_nu)"
+        elif is_excluded_by_intensity:
+            return f"Br. {i + 1}: {e0:.1f} keV ({intensity_pct:.1f}%) - excluded (intensity < cutoff)"
+        else:
+            return f"Br. {i + 1}: {e0:.1f} keV ({intensity_pct:.1f}%)"
 
     # ---------------------------------------------------------------------------
     # Plotting — unified multi-branch approach
@@ -302,7 +327,18 @@ class BetaSpectrumAnalyzer:
             zorder=10,
         )
 
-        for i, contrib in enumerate(branch_contribs):
+        # Only plot active branches (not excluded by neutrino mass or intensity cutoff)
+        active_branch_indices = []
+        for i in range(self._n_branches):
+            branch_endpoint_keV = self._unified_branches[i].endpoint_MeV * 1000
+            neutrino_mass_keV = self.config.neutrino_mass_MeV * 1000
+            is_excluded_by_mass = branch_endpoint_keV <= neutrino_mass_keV
+            is_excluded_by_intensity = self._unified_branches[i].intensity < self.config.intensity_cutoff
+            if not is_excluded_by_mass and not is_excluded_by_intensity:
+                active_branch_indices.append(i)
+
+        for i in active_branch_indices:
+            contrib = branch_contribs[i]
             color = branch_colors[i % len(branch_colors)]
             ax.plot(
                 self.energies_MeV,
@@ -321,7 +357,7 @@ class BetaSpectrumAnalyzer:
         ax.legend(
             loc="best",
             fontsize=9,
-            ncol=min(2, self._n_branches + 1),
+            ncol=min(2, len(active_branch_indices) + 1),
         )
 
         self._build_figure_header(fig)
@@ -390,7 +426,19 @@ class BetaSpectrumAnalyzer:
             label="Total spectrum",
             zorder=10,
         )
-        for i, contrib in enumerate(branch_contribs):
+        
+        # Only plot active branches (not excluded by neutrino mass or intensity cutoff)
+        active_branch_indices = []
+        for i in range(n_branches):
+            branch_endpoint_keV = self._unified_branches[i].endpoint_MeV * 1000
+            neutrino_mass_keV = self.config.neutrino_mass_MeV * 1000
+            is_excluded_by_mass = branch_endpoint_keV <= neutrino_mass_keV
+            is_excluded_by_intensity = self._unified_branches[i].intensity < self.config.intensity_cutoff
+            if not is_excluded_by_mass and not is_excluded_by_intensity:
+                active_branch_indices.append(i)
+
+        for i in active_branch_indices:
+            contrib = branch_contribs[i]
             color = branch_colors[i % len(branch_colors)]
             ax.plot(
                 self.energies_MeV,
@@ -404,7 +452,7 @@ class BetaSpectrumAnalyzer:
         ax.set_ylabel(f"Normalized Counts / {e_step_keV:.1f} keV", fontsize=10)
         ax.set_title("Spectrum", fontsize=11)
         ax.grid(True, alpha=0.3)
-        ax.legend(fontsize=8, loc="best", ncol=min(2, n_branches + 1))
+        ax.legend(fontsize=8, loc="best", ncol=min(2, len(active_branch_indices) + 1))
 
         # Panel 2: Fermi function + all phase spaces
         ax = axes[1]
@@ -419,7 +467,7 @@ class BetaSpectrumAnalyzer:
                 label="Fermi",
                 alpha=0.8,
             )
-        for i in range(n_branches):
+        for i in active_branch_indices:
             color = branch_colors[i % len(branch_colors)]
             branch = self._unified_branches[i]
             key = self._get_component_key(i, "PhaseSpace")
@@ -474,7 +522,7 @@ class BetaSpectrumAnalyzer:
 
         # Panel 4: W0-dependent corrections (Radiative for each branch)
         ax = axes[3]
-        for i in range(n_branches):
+        for i in active_branch_indices:
             color = branch_colors[i % len(branch_colors)]
             key = self._get_component_key(i, "Radiative")
             if key in components:
@@ -491,7 +539,7 @@ class BetaSpectrumAnalyzer:
         ax.set_xlabel(r"Electron kinetic energy $E$ [MeV]", fontsize=10)
         ax.set_title("Radiative Corrections", fontsize=11)
         ax.grid(True, alpha=0.3)
-        ax.legend(fontsize=8, loc="best", ncol=min(2, n_branches + 1))
+        ax.legend(fontsize=8, loc="best", ncol=min(2, len(active_branch_indices) + 1))
 
         self._build_figure_header(fig)