complete aem1.py

crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/aem1.rs

@@ -1,7 +1,8 @@
 //! |LO| |QED|.
 use num::complex::Complex;
+use num::Zero;
 
-use crate::constants::{ed2, eu2, uplike_flavors, CF, NC, TR};
+use crate::constants::{charge_combinations, ed2, eu2, uplike_flavors, CF, NC, TR};
 use crate::harmonics::cache::Cache;
 
 use crate::anomalous_dimensions::unpolarized::spacelike::as1;
@@ -36,6 +37,64 @@ pub fn gamma_ns(c: &mut Cache, nf: u8) -> Complex<f64> {
     as1::gamma_ns(c, nf) / CF
 }
 
+/// Compute the leading-order singlet QED anomalous dimension matrix
+///
+/// Implements Eq. (2.5) of
+pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex<f64>; 4]; 4] {
+    let cc = charge_combinations(nf);
+    let e2avg = cc[0];
+    let vue2m = cc[1];
+    let vde2m = cc[2];
+    let e2delta = cc[3];
+
+    let gamma_ph_q = gamma_phq(c, nf);
+    let gamma_q_ph = gamma_qph(c, nf);
+    let gamma_nonsinglet = gamma_ns(c, nf);
+
+    [
+        [
+            Complex::<f64>::zero(),
+            Complex::<f64>::zero(),
+            Complex::<f64>::zero(),
+            Complex::<f64>::zero(),
+        ],
+        [
+            Complex::<f64>::zero(),
+            gamma_phph(c, nf),
+            e2avg * gamma_ph_q,
+            vue2m * gamma_ph_q,
+        ],
+        [
+            Complex::<f64>::zero(),
+            e2avg * gamma_q_ph,
+            e2avg * gamma_nonsinglet,
+            vue2m * gamma_nonsinglet,
+        ],
+        [
+            Complex::<f64>::zero(),
+            vde2m * gamma_q_ph,
+            vde2m * gamma_nonsinglet,
+            e2delta * gamma_nonsinglet,
+        ],
+    ]
+}
+
+/// Compute the leading-order valence QED anomalous dimension matrix
+///
+/// Implements Eq. (2.5) of
+pub fn gamma_valence(c: &mut Cache, nf: u8) -> [[Complex<f64>; 2]; 2] {
+    let cc = charge_combinations(nf);
+    let e2avg = cc[0];
+    let vue2m = cc[1];
+    let vde2m = cc[2];
+    let e2delta = cc[3];
+
+    [
+        [e2avg * gamma_ns(c, nf), vue2m * gamma_ns(c, nf)],
+        [vde2m * gamma_ns(c, nf), e2delta * gamma_ns(c, nf)],
+    ]
+}
+
 #[cfg(test)]
 mod tests {
     use super::*;