diff --git a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as1aem1.rs b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as1aem1.rs index 6a77690aa..2eedf14ec 100644 --- a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as1aem1.rs +++ b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as1aem1.rs @@ -2,7 +2,7 @@ use crate::cmplx; use num::complex::Complex; -use crate::constants::{ed2, eu2, uplike_flavors, CA, CF, NC, TR}; +use crate::constants::{ed2, eu2, uplike_flavors, CA, CF, NC, TR, ZETA2, ZETA3}; use crate::harmonics::cache::{Cache, K}; /// Compute the $O(a_s^1a_{em}^1)$ photon-quark anomalous dimension. @@ -45,6 +45,7 @@ pub fn gamma_qph(c: &mut Cache, nf: u8) -> Complex { let S1 = c.get(K::S1); let S2 = c.get(K::S2); + #[rustfmt::skip] let tmp_const = -2.0 * (4.0 + 8.0 * N @@ -108,3 +109,34 @@ pub fn gamma_phph(_c: &mut Cache, nf: u8) -> Complex { pub fn gamma_gg(_c: &mut Cache, _nf: u8) -> Complex { cmplx!(4.0 * TR * (NC as f64), 0.) } + +/// Compute the $O(a_s^1a_{em}^1)$ singlet-like non singlet anomalous dimension. +/// +/// Implements Eqs. (33-34) of +pub fn gamma_nsp(c: &mut Cache, _nf: u8) -> Complex { + let N = c.n(); + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let S1h = c.get(K::S1h); + let S2h = c.get(K::S2h); + let S3h = c.get(K::S3h); + let S1p1h = c.get(K::S1ph); + let S2p1h = c.get(K::S2ph); + let S3p1h = c.get(K::S3ph); + let g3N = c.get(K::G3); + let g3Np2 = c.get(K::G3p2); + + #[rustfmt::skip] + let result = 32.0 * ZETA2 * S1h - 32.0 * ZETA2 * S1p1h + + 8.0 / (N + N.powu(2)) * S2h + - 4.0 * S3h + (24.0 + 16.0 / (N + N.powu(2))) * S2 + - 32.0 * S3 - 8.0 / (N + N.powu(2)) * S2p1h + + S1 * (16.0 * (3.0 / N.powu(2) - 3.0 / (1.0 + N).powu(2) + 2.0 * ZETA2) - 16.0 * S2h + - 32.0 * S2 + 16.0 * S2p1h ) + + (-8.0 + N * (-32.0 + N * ( -8.0 - 3.0 * N * (3.0 + N) * (3.0 + N.powu(2)) - 48.0 * (1.0 + N).powu(2) * ZETA2))) + / (N.powu(3) * (1.0 + N).powu(3)) + + 32.0 * (g3N + g3Np2) + 4.0 * S3p1h - 16.0 * ZETA3; + + CF * result +}