"Massive" Perturbative QCD, regular in the IR limit

Abstract

The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 \GeV up to the IR limit. Recent observation of the four-loop pQCD series "blow-up" in the region below 1 \GeV for the Bjorken Sum Rule gave an impetus to this attempt. The proposed {\sf "massive analytic pQCD"} is constructed on the two grounds. The first is the pQCD with only one parameter added, the effective "glueball mass" $m_{gl}\lesssim 1 \GeV,$ serving as an IR regulator. The second stems out of the ghost-free Analytic Perturbation Theory comprising non-power perturbative expansion that makes it compatible with linear integral transformations. In short, the proposed MAPT differs from the minimal APT by simple ansatz $Q^2\to Q^2+m_{gl}^2.$

10 pages, 4 figures; few editing corrections, additional Ansatz (A) on the top of page 4, 6 references and second Appendix with 2 figures added. This version will be published in PEPAN Lett. Vol 10 (2013)

References in corpus (3)

• The all-order equation of the effective gluon mass
• Nucleon spin structure at low momentum transfers
• Analytic Perturbation Theory Model for QCD and Upsilon Decay

Cited by in corpus (27)

• The QCD Running Coupling
• The Spin Structure of the Nucleon
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
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• Renormalon-motivated evaluation of QCD observables
• Gluon Propagator in Fractional Analytic Perturbation Theory
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• QCD corrections to the $B_c$ to charmonia semi-leptonic decays
• Lattice-motivated holomorphic nearly perturbative QCD
• Application of the rescaling model at small Bjorken $x$ values
• anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models
• Absorptive effects and power corrections in low $x$ DGLAP evolution
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Hadronic decays of the spin-singlet heavy quarkomium under the principle of maximum conformality
• A novel determination of non-perturbative contributions to Bjorken sum rule
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Detailed Comparison of Renormalization Scale-Setting Procedures based on the Principle of Maximum Conformality
• Color confinement at the boundary of the conformally compactified ${\mathrm{AdS}}_5$
• The Gross-Llewellyn Smith sum rule up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• The $P$-wave charmonium annihilation into two photons ${\chi }_{c0,c2}\to \gamma \gamma$ with high-order QCD corrections
• Analytical perturbation theory and Nucleon structure function in infrared region
• Updated Determination of Ellis-Jaffe Sum Rules up to ${\mathrm{N}}^3\mathrm{LO}$ QCD corrections
• Perturbative QCD analysis of the Bjorken sum rule