Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form

2025/09/10 by Ayala, Cesar, Cvetič, Gorazd, Kögerler, Reinhart
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.09042

Abstract

We present a generalisation of our previous approach of a renormalon-motivated resummation of the QCD observables. Previously it was applied to the spacelike observables whose perturbation expansion was D(Q²) = a(Q²) + O(a²), where a(Q²) ≡ α_s(Q²)/π is the running QCD coupling. Now we generalise the resummation to spacelike quantities D(Q²) = a(Q²)^ν₀ + O(a^ν₀+1) and timelike quantities F(σ) = a(σ)^ν₀ + O(a^ν₀+1), where ν₀ is in general a noninteger number (0<ν₀ ≤ 1). We evaluate with this approach a timelike quantity, namely the scheme-invariant factor of the Wilson coefficient of the chromomagnetic operator in the heavy-quark effective Lagrangian, and related quantities.

Citations

• Extending the LCSR method to the electromagnetic pion form factor at low momenta using QCD renormalization-group summation
• Heavy quark contributions in Bjorken sum rule with analytic coupling
• Renormalon-based resummation of Bjorken polarised sum rule in holomorphic QCD
• Bjorken sum rule with analytic coupling at low Q2 values
• Resummation in (F)APT
• Gauge-variant propagators and the running coupling from lattice QCD
• Massive analytic invariant charge in QCD
• Analytic Invariant Charge in QCD

Related

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• Resummation of Renormalon Chains for Cross Sections and Inclusive Decay Rates
• Toward the correlated analysis of perturbative QCD observables
• On the perturbative renormalisation of four-quark operators for new physics
• Representation of the RG-invariant quantities in perturbative QCD through powers of the conformal anomaly