diff --git a/crates/ekore/refs.bib b/crates/ekore/refs.bib index 8d155ed48..480619d12 100644 --- a/crates/ekore/refs.bib +++ b/crates/ekore/refs.bib @@ -119,3 +119,13 @@ @article{Gluck1995yr pages = "4775--4786", year = "1996" } +@phdthesis{Carrazza2015dea, + author = "Carrazza, Stefano", + title = "{Parton distribution functions with QED corrections}", + eprint = "1509.00209", + archivePrefix = "arXiv", + primaryClass = "hep-ph", + doi = "10.13130/carrazza-stefano_phd2015-07-06", + school = "Milan U.", + year = "2015" +} diff --git a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/aem1.rs b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/aem1.rs index 0a5feaa6b..1a9e317ba 100644 --- a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/aem1.rs +++ b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/aem1.rs @@ -9,36 +9,36 @@ use crate::anomalous_dimensions::unpolarized::spacelike::as1; /// Compute the leading-order photon-quark anomalous dimension. /// -/// Implements Eq. (2.5) of +/// Implements Eq. (2.5) of [\[Carrazza:2015dea\]][crate::bib::Carrazza2015dea]. pub fn gamma_phq(c: &mut Cache, nf: u8) -> Complex { as1::gamma_gq(c, nf) / CF } /// Compute the leading-order quark-photon anomalous dimension. /// -/// Implements Eq. (2.5) of +/// Implements Eq. (2.5) of [\[Carrazza:2015dea\]][crate::bib::Carrazza2015dea]. +/// However, we are adding the $N_C$ and the $2n_f$ factors from $\theta$ inside the +/// definition of $\gamma_{q \gamma}^{(0)}(N)$. pub fn gamma_qph(c: &mut Cache, nf: u8) -> Complex { as1::gamma_qg(c, nf) / TR * (NC as f64) } /// Compute the leading-order photon-photon anomalous dimension. /// -/// Implements Eq. (2.5) of +/// Implements Eq. (2.5) of [\[Carrazza:2015dea\]][crate::bib::Carrazza2015dea]. pub fn gamma_phph(_c: &mut Cache, nf: u8) -> Complex { let cc = ChargeCombinations { nf }; (4.0 / 3.0 * (NC as f64) * ((cc.nu() as f64) * EU2 + (cc.nd() as f64) * ED2)).into() } -/// Compute the leading-order non-singlet QED anomalous dimension +/// Compute the leading-order non-singlet |QED| anomalous dimension. /// -/// Implements Eq. (2.5) of +/// Implements Eq. (2.5) of [\[Carrazza:2015dea\]][crate::bib::Carrazza2015dea]. pub fn gamma_ns(c: &mut Cache, nf: u8) -> Complex { as1::gamma_ns(c, nf) / CF } -/// Compute the leading-order singlet QED anomalous dimension matrix -/// -/// Implements Eq. (2.5) of +/// Compute the leading-order singlet |QED| anomalous dimension matrix. pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex; 4]; 4] { let cc = ChargeCombinations { nf }; @@ -74,9 +74,7 @@ pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex; 4]; 4] { ] } -/// Compute the leading-order valence QED anomalous dimension matrix -/// -/// Implements Eq. (2.5) of +/// Compute the leading-order valence |QED| anomalous dimension matrix. pub fn gamma_valence(c: &mut Cache, nf: u8) -> [[Complex; 2]; 2] { let cc = ChargeCombinations { nf }; diff --git a/crates/ekore/src/bib.rs b/crates/ekore/src/bib.rs index 175efe194..06533f6e2 100644 --- a/crates/ekore/src/bib.rs +++ b/crates/ekore/src/bib.rs @@ -1,4 +1,4 @@ -//! List of References (autogenerated on 2025-01-13T14:38:04.013494). +//! List of References (autogenerated on 2025-01-13T14:46:34.886936). #[allow(non_snake_case)] /// The Three loop splitting functions in QCD: The Nonsinglet case @@ -119,3 +119,15 @@ pub fn Bierenbaum2009zt() {} /// /// DOI: [10.1103/PhysRevD.53.4775](https:dx.doi.org/10.1103/PhysRevD.53.4775) pub fn Gluck1995yr() {} + +#[allow(non_snake_case)] +/// Parton distribution functions with QED corrections +/// +/// Carrazza, Stefano +/// +/// Published as PhD thesis at Milan U. (2015) +/// +/// e-Print: [1509.00209](https://arxiv.org/abs/1509.00209) +/// +/// DOI: [10.13130/carrazza-stefano_phd2015-07-06](https:dx.doi.org/10.13130/carrazza-stefano_phd2015-07-06) +pub fn Carrazza2015dea() {}