Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
Abstract We construct a QCD coupling A $$ \mathcal{A} $$ (Q 2) in the Effective Charge (ECH) scheme of the canonical part d(Q 2) of the (inelastic) polarised Bjorken Sum Rule (BSR) Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2). In the perturbative domain, the coupling A $$ \m...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)075 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846112935890386944 |
|---|---|
| author | César Ayala Gorazd Cvetič |
| author_facet | César Ayala Gorazd Cvetič |
| author_sort | César Ayala |
| collection | DOAJ |
| description | Abstract We construct a QCD coupling A $$ \mathcal{A} $$ (Q 2) in the Effective Charge (ECH) scheme of the canonical part d(Q 2) of the (inelastic) polarised Bjorken Sum Rule (BSR) Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2). In the perturbative domain, the coupling A $$ \mathcal{A} $$ (Q 2) practically coincides with the perturbative coupling a(Q 2) [≡ α s (Q 2)/π] in the four-loop ECH renormalisation scheme. In the deep infrared (IR) regime, A $$ \mathcal{A} $$ (Q 2) behaves as suggested by the Holographic Light-Front QCD up to the second derivative. Furthermore, in contrast to its perturbative counterpart a(Q 2), the coupling A $$ \mathcal{A} $$ (Q 2) is holomorphic in the entire complex Q 2-plane with the exception of the negative semiaxis, reflecting the holomorphic properties of the BSR observable d(Q 2) [or: Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2)] as dictated by the general principles of the Quantum Field Theory. It turns out that the obtained coupling, used as ECH, reproduces quite well the experimental data for Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2) in the entire N f = 3 regime 0 < Q 2 ≲ 5 GeV2. |
| format | Article |
| id | doaj-art-9f0f7c28daa7434f883c4a0cf7c581f7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9f0f7c28daa7434f883c4a0cf7c581f72024-12-22T12:09:20ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212210.1007/JHEP12(2024)075Towards unifying perturbative and Holographic Light-Front QCD via holomorphic couplingCésar Ayala0Gorazd Cvetič1Departamento de Ingeniería y Tecnologías, Sede La Tirana, Universidad de TarapacáDepartment of Physics, Universidad Técnica Federico Santa MaríaAbstract We construct a QCD coupling A $$ \mathcal{A} $$ (Q 2) in the Effective Charge (ECH) scheme of the canonical part d(Q 2) of the (inelastic) polarised Bjorken Sum Rule (BSR) Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2). In the perturbative domain, the coupling A $$ \mathcal{A} $$ (Q 2) practically coincides with the perturbative coupling a(Q 2) [≡ α s (Q 2)/π] in the four-loop ECH renormalisation scheme. In the deep infrared (IR) regime, A $$ \mathcal{A} $$ (Q 2) behaves as suggested by the Holographic Light-Front QCD up to the second derivative. Furthermore, in contrast to its perturbative counterpart a(Q 2), the coupling A $$ \mathcal{A} $$ (Q 2) is holomorphic in the entire complex Q 2-plane with the exception of the negative semiaxis, reflecting the holomorphic properties of the BSR observable d(Q 2) [or: Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2)] as dictated by the general principles of the Quantum Field Theory. It turns out that the obtained coupling, used as ECH, reproduces quite well the experimental data for Γ ¯ 1 p − n $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ (Q 2) in the entire N f = 3 regime 0 < Q 2 ≲ 5 GeV2.https://doi.org/10.1007/JHEP12(2024)075The Strong CouplingDeep Inelastic Scattering or Small-x PhysicsResummation |
| spellingShingle | César Ayala Gorazd Cvetič Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling Journal of High Energy Physics The Strong Coupling Deep Inelastic Scattering or Small-x Physics Resummation |
| title | Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling |
| title_full | Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling |
| title_fullStr | Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling |
| title_full_unstemmed | Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling |
| title_short | Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling |
| title_sort | towards unifying perturbative and holographic light front qcd via holomorphic coupling |
| topic | The Strong Coupling Deep Inelastic Scattering or Small-x Physics Resummation |
| url | https://doi.org/10.1007/JHEP12(2024)075 |
| work_keys_str_mv | AT cesarayala towardsunifyingperturbativeandholographiclightfrontqcdviaholomorphiccoupling AT gorazdcvetic towardsunifyingperturbativeandholographiclightfrontqcdviaholomorphiccoupling |