diff --git a/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py b/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py
index 1dfeb177c..ebc53e3ae 100644
--- a/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py
+++ b/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py
@@ -1,4 +1,7 @@
-"""Benchmark the NLO anomalous dimensions against PEGASUS"""
+"""Benchmark the unpolarized NLO anomalous dimensions against PEGASUS.
+
+Recall that we obtained our representation not from PEGASUS, but derived it
+ourselves (see comment there)."""
 
 import numpy as np
 import pytest
@@ -21,7 +24,6 @@ def check_gamma_1_pegasus(N, NF):
     ZETA2 = zeta2
     ZETA3 = zeta3
 
-    # N = np.random.rand(1) + np.random.rand(1) * 1j
     S1 = h.S1(N)
     S2 = h.S2(N)
 
diff --git a/benchmarks/ekore/benchmark_pegasus_mellin.py b/benchmarks/ekore/benchmark_pegasus_mellin.py
index 1591d2272..addefe421 100644
--- a/benchmarks/ekore/benchmark_pegasus_mellin.py
+++ b/benchmarks/ekore/benchmark_pegasus_mellin.py
@@ -1,4 +1,4 @@
-"""Benchmark the NLO anomalous dimensions against PEGASUS"""
+"""Benchmark the Mellin transforms against PEGASUS."""
 
 import numpy as np
 import pytest
diff --git a/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py b/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py
index 78ff38139..66b471c57 100644
--- a/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py
+++ b/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py
@@ -1,4 +1,4 @@
-"""Benchmark the NLO anomalous dimensions against PEGASUS"""
+"""Benchmark the polarized NNLO OME against PEGASUS"""
 
 import numpy as np
 import pytest