diff --git a/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as1.rs b/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as1.rs
index 2eec91867..b73a862ad 100644
--- a/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as1.rs
+++ b/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as1.rs
@@ -82,4 +82,15 @@ mod tests {
         let me = gamma_qg(&mut c, NF);
         assert_approx_eq_cmplx!(f64, me, Complex::zero(), epsilon = 1e-12);
     }
+
+    // TODO: activate this test once the beta function will be available
+    // #[test]
+    // fn axial_anomaly() {
+    //     const N: Complex<f64> = cmplx!(1., 0.);
+    //     let mut c = Cache::new(N);
+    //     let me = gamma_gg(&mut c, NF);
+    //     let beta = -1.0 * beta_qcd_as2(NF);
+    //     assert_approx_eq_cmplx!(f64, me, beta);
+    // }
+
 }
diff --git a/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as2.rs b/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as2.rs
index 8dcdf6733..d84bd7e1f 100644
--- a/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as2.rs
+++ b/crates/ekore/src/anomalous_dimensions/polarized/spacelike/as2.rs
@@ -129,6 +129,7 @@ pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex<f64>; 2]; 2] {
 #[cfg(test)]
 mod tests {
     use super::*;
+    use super::super::as1::gamma_gq as as1_gamma_gq;
     use crate::harmonics::cache::Cache;
     use crate::{assert_approx_eq_cmplx, cmplx};
     use num::complex::Complex;
@@ -192,4 +193,17 @@ mod tests {
             epsilon = 1e-13
         );
     }
+
+    #[test]
+    fn axial_anomaly() {
+        const N: Complex<f64> = cmplx!(1., 0.);
+        let mut c = Cache::new(N);
+        let me_ps = gamma_ps(&mut c, NF);
+        let as1_gq = - 2.0 * (NF as f64) * as1_gamma_gq(&mut c, NF);
+        assert_approx_eq_cmplx!(f64, me_ps, as1_gq);
+        // TODO: activate this test once the beta function will be available
+        // let me_gg = gamma_gg(&mut c, NF);
+        // let beta = -1.0 * beta_qcd_as2(NF);
+        // assert_approx_eq_cmplx!(f64, me_gg, beta, rel=9e-7);
+    }
 }