UV contribution and power dependence on ${\Lambda }_{\mathrm{QCD}}$ of Adler function

Abstract

We formulate a way to separate UV and IR contributions to the Adler function and discuss how ${\Lambda }_{\mathrm{QCD}}^2/Q^2$ dependence is encoded in the UV contribution within perturbative QCD.

10 pages, 5 figures. v3: minor modifications

References in corpus (3)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Perturbative expansion of the plaquette to $\mathcal{O}({\alpha }^{35})$ in four-dimensional SU(3) gauge theory

Cited by in corpus (6)

• Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on ${\Lambda }_{\mathrm{QCD}}$
• Formulation for renormalon-free perturbative predictions beyond large-${\beta }_0$ approximation
• Renormalon-free definition of the gluon condensate within the large-${\beta }_0$ approximation
• Renormalon free part of an ultrasoft correction to the static QCD potential
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation
• The decomposed photon anomalous dimension in QCD and the $\{\beta \}$-expanded representations for the Adler function