diff --git a/airflow-core/src/airflow/jobs/scheduler_job_runner.py b/airflow-core/src/airflow/jobs/scheduler_job_runner.py
index 5dcbdc21521d9..3ea24d5c24b08 100644
--- a/airflow-core/src/airflow/jobs/scheduler_job_runner.py
+++ b/airflow-core/src/airflow/jobs/scheduler_job_runner.py
@@ -1806,7 +1806,8 @@ def _do_scheduling(self, session: Session) -> int:
 
             # Bulk fetch the currently active dag runs for the dags we are
             # examining, rather than making one query per DagRun
-            dag_runs = DagRun.get_running_dag_runs_to_examine(session=session)
+            dag_runs = DagRun.get_running_dag_runs_to_examine(session=session).all()
+            dag_runs_examined = len(dag_runs)
 
             callback_tuples = self._schedule_all_dag_runs(guard, dag_runs, session)
 
@@ -1857,6 +1858,14 @@ def _do_scheduling(self, session: Session) -> int:
 
             guard.commit()
 
+        stats.gauge("scheduler.dag_runs.examined", dag_runs_examined)
+        stats.gauge("scheduler.executor.open_slots", total_free_executor_slots)
+        self.log.info(
+            "Scheduling loop summary | dag_runs_examined=%d queued_tis=%d open_executor_slots=%d",
+            dag_runs_examined,
+            num_queued_tis,
+            total_free_executor_slots,
+        )
         return num_queued_tis
 
     def _create_dagruns_for_partitioned_asset_dags(self, session: Session) -> set[str]:
@@ -2988,6 +2997,7 @@ def _purge_task_instances_without_heartbeats(
         else:
             dag_id_to_team_name = {}
 
+        stats.gauge("scheduler.tasks.heartbeat_timeout", len(task_instances_without_heartbeats))
         for ti in task_instances_without_heartbeats:
             task_instance_heartbeat_timeout_message_details = (
                 self._generate_task_instance_heartbeat_timeout_message_details(ti)
@@ -3031,11 +3041,22 @@ def _purge_task_instances_without_heartbeats(
                     ),
                 )
             )
+            _heartbeat_age_secs = (
+                (timezone.utcnow() - ti.last_heartbeat_at).total_seconds() if ti.last_heartbeat_at else None
+            )
+            _task_running_secs = (
+                (timezone.utcnow() - ti.start_date).total_seconds() if ti.start_date else None
+            )
             self.log.error(
                 "Detected a task instance without a heartbeat: %s "
+                "heartbeat_age_seconds=%s hostname=%s pid=%s task_running_seconds=%s "
                 "(See https://airflow.apache.org/docs/apache-airflow/"
                 "stable/core-concepts/tasks.html#task-instance-heartbeat-timeout)",
                 request,
+                f"{_heartbeat_age_secs:.1f}" if _heartbeat_age_secs is not None else "unknown",
+                ti.hostname or "unknown",
+                ti.pid or "unknown",
+                f"{_task_running_secs:.1f}" if _task_running_secs is not None else "unknown",
             )
             self.executor.send_callback(request)
             executor = self._try_to_load_executor(
diff --git a/shared/observability/src/airflow_shared/observability/metrics/metrics_template.yaml b/shared/observability/src/airflow_shared/observability/metrics/metrics_template.yaml
index 876cc3cc8953b..d49f021fa80dc 100644
--- a/shared/observability/src/airflow_shared/observability/metrics/metrics_template.yaml
+++ b/shared/observability/src/airflow_shared/observability/metrics/metrics_template.yaml
@@ -633,6 +633,26 @@ metrics:
     legacy_name: "-"
     name_variables: []
 
+  - name: "scheduler.dag_runs.examined"
+    description: "Number of active DAG runs examined in a scheduler loop iteration."
+    type: "gauge"
+    legacy_name: "-"
+    name_variables: []
+
+  - name: "scheduler.executor.open_slots"
+    description: "Number of open executor slots available at the end of a scheduler loop iteration."
+    type: "gauge"
+    legacy_name: "-"
+    name_variables: []
+
+  - name: "scheduler.tasks.heartbeat_timeout"
+    description: >-
+      Number of task instances whose heartbeat timed out and were
+      terminated in a scheduler loop iteration.
+    type: "gauge"
+    legacy_name: "-"
+    name_variables: []
+
   - name: "dagrun.first_task_scheduling_delay"
     description: "Milliseconds elapsed between first task start_date and dagrun expected start"
     type: "timer"