Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form
Abstract
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 ( Q 2 ) = a ( Q 2 ) + O ( a 2 ) , where a ( Q 2 ) ≡ α s ( Q 2 )/ π is the running QCD coupling. Now we generalise the resummation to spacelike quantities D ( Q 2 ) = a ( Q 2 ) ν 0 + O ( a ν 0 + 1 ) and timelike quantities F ( σ ) = a ( σ ) ν 0 + O ( a ν 0 + 1 ) , where ν 0 is in general a noninteger number (0 < ν 0 ≤ 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.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Journal of Physics G Nuclear and Particle Physics
- Publisher
- IOP Publishing
- Volume
- 53
- Issue
- 2
- Pages
- 025005–025005
- Publication date
- 19 January 2026