/ Phenomenology-HEP

Remarks on simple modified perturbation theory

Shirkov, D.V. (Dubna, JINR)

Published in: Phys.Part.Nucl.Lett.
Year: 2015
Vol.: 12    Num./Issue: 2
Page No: 205-213
Pages: 9
Year: 2015-03-24 published

Abstract: The goal is to devise a pQCD modification that should be regular in the low energy region and could serve practically for the data analysis below 1 GeV up to the infra-red limit. The recently observed “blow-up” of the 4-loop pQCD series for the Bjorken sum rule form-factor around Q ≲ 1 GeV and partial resolving of the issue with the help of the Analytic Perturbation Theory (APT) until Q ∼ 0.6 GeV provided the impetus for this attempt. The “massive pQCD” under construction has two grounds. The first is pQCD with only one parameter added, an effective “glueball mass” m$_{ρ}$ ≲ M$_{glb}$ ≲ 1 GeV, serving as an infrared regulator. Roughly, we introduce it by changing the ultra-violet lnQ$^{2}$ for a massive log, ln(Q$^{2}$ + M$_{glb}^{2}$ ) regular in the low energy region and finite in the infra-red limit. The second stems from the ghost-free APT comprising non-power perturbative expansion that makes it compatible with linear integral transformations.

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DOI: 10.1134/S1547477115020211