diff --git a/graphicle/select.py b/graphicle/select.py
index 1d21292..3c7114d 100644
--- a/graphicle/select.py
+++ b/graphicle/select.py
@@ -1199,7 +1199,8 @@ def arg_closest(
 
 def monte_carlo_tag(
     particles: gcl.ParticleSet,
-    cluster_masks: ty.List[gcl.MaskArray],
+    cluster_masks: ty.Sequence[gcl.MaskArray],
+    clustered_pmu: ty.Optional[gcl.MomentumArray] = None,
     intermediate: bool = False,
     outgoing: bool = True,
     sign_sensitive: bool = False,
@@ -1214,13 +1215,23 @@ def monte_carlo_tag(
 
     .. versionadded:: 0.2.14
 
+    .. versionchanged:: 0.3.6
+       Added ``clustered_pmu`` parameter, enabling tagging on clusters
+       with detector-level cuts.
+
     Parameters
     ----------
     particles : ParticleSet
         Monte-Carlo particle data record for the whole event.
-    cluster_masks : list[MaskArray]
-        List of boolean masks identifying which particles belong to each
-        of the clusterings. These are defined over the final particles.
+    cluster_masks : Sequence[MaskArray]
+        Boolean masks identifying which particles belong to each of the
+        clusterings. These are defined over the final particles, or
+        clustered_pmu, see below.
+    clustered_pmu : MomentumArray, optional
+        MomentumArray containing the data as passed to the clustering
+        algorithm. This is useful for when cuts have been applied before
+        clustering. If unset, the final state momentum for the whole
+        event will be assumed.
     intermediate : bool
         If ``True`` includes partons from the intermediate stage of the
         hard process. Default is ``False``.
@@ -1250,6 +1261,10 @@ def monte_carlo_tag(
         If ``intermediate`` and ``outgoing`` are simultaneously set to
         ``False``, or ``blacklist`` and ``whitelist`` are simultaneously
         not ``None``.
+    ValueError
+        If cluster_masks is empty. Additionally, if the elements have a
+        size mismatch with either the number of particles in the final
+        state, or the length of clustered_pmu when passed.
     IndexError
         If after applying ``blacklist`` or ``whitelist``, no matching
         partons remain in the hard process.
@@ -1295,6 +1310,8 @@ def monte_carlo_tag(
         ... np.sum(final_pmu[tagged_clusters], axis=0).mass
         array([163.33889956])
     """
+    if not cluster_masks:
+        raise ValueError("cluster_masks is an empty sequence.")
     portions = []
     if outgoing:
         portions.append("outgoing")
@@ -1319,10 +1336,17 @@ def monte_carlo_tag(
             raise IndexError("No partons matching filters found.")
         hard_pmu = hard_pmu[hard_mask]
         hard_pdg = hard_pdg[hard_mask]
-    cluster_pmu = gcl.calculate.aggregate_momenta(
-        particles.pmu[particles.final], cluster_masks
-    )
-    idxs = arg_closest(hard_pmu, cluster_pmu)
+    ref_length = "clustered_pmu"
+    if clustered_pmu is None:
+        clustered_pmu = particles.pmu[particles.final]
+        ref_length = "particles.final"
+    if len(clustered_pmu) != len(cluster_masks[0]):
+        raise ValueError(
+            "shape mismatch: length of elements in cluster_masks must be the "
+            f"same as the length of {ref_length}."
+        )
+    jets_pmu = gcl.calculate.aggregate_momenta(clustered_pmu, cluster_masks)
+    idxs = arg_closest(hard_pmu, jets_pmu)
     tagged_clusters = op.itemgetter(*idxs)(cluster_masks)
     if len(idxs) == 1:
         tagged_clusters = (tagged_clusters,)