Renormalon-based resummation of Bjorken polarised sum rule in holomorphic QCD

Ayala, César; Castro-Arriaza, Camilo; Cvetič, Gorazd

doi:10.1016/j.nuclphysb.2024.116668

Nuclear Physics B

2024

DOI: 10.1016/j.nuclphysb.2024.116668

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Renormalon-based resummation of Bjorken polarised sum rule in holomorphic QCD

César Ayala,

Camilo Castro-Arriaza,

Gorazd Cvetič

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2024

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Cited by 3 publications

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Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling

Ayala,

Cvetič

2024

J. High Energ. Phys.

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We construct a QCD coupling $$ \mathcal{A} $$ A (Q2) in the Effective Charge (ECH) scheme of the canonical part d(Q2) of the (inelastic) polarised Bjorken Sum Rule (BSR) $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ Γ ¯ 1 p − n (Q2). In the perturbative domain, the coupling $$ \mathcal{A} $$ A (Q2) practically coincides with the perturbative coupling a(Q2) [≡ αs(Q2)/π] in the four-loop ECH renormalisation scheme. In the deep infrared (IR) regime, $$ \mathcal{A} $$ A (Q2) behaves as suggested by the Holographic Light-Front QCD up to the second derivative. Furthermore, in contrast to its perturbative counterpart a(Q2), the coupling $$ \mathcal{A} $$ A (Q2) is holomorphic in the entire complex Q2-plane with the exception of the negative semiaxis, reflecting the holomorphic properties of the BSR observable d(Q2) [or: $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ Γ ¯ 1 p − n (Q2)] 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 $$ {\overline{\Gamma}}_1^{\textrm{p}-\textrm{n}} $$ Γ ¯ 1 p − n (Q2) in the entire Nf = 3 regime 0 < Q2 ≲ 5 GeV2.

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Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling

Ayala,

Cvetič

2024

J. High Energ. Phys.

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Bjorken polarised sum rule with IR-finite QCD coupling

Ayala,

Castro-Arriaza,

Cvetič

2024

Nuclear and Particle Physics Proceedings

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Heavy Quark Contributions in Bjorken Sum Rule with Analytic Coupling

Gabdrakhmanov,

Gramotkov,

Kotikov

et al. 2024

Jetp Lett.

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Renormalon-based resummation of Bjorken polarised sum rule in holomorphic QCD

Cited by 3 publications

References 89 publications

Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling

Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling

Bjorken polarised sum rule with IR-finite QCD coupling

Heavy Quark Contributions in Bjorken Sum Rule with Analytic Coupling

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