Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form
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| Formato: | Preprint |
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2025
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| author | Ayala, Cesar Cvetič, Gorazd Kögerler, Reinhart |
| author_facet | Ayala, Cesar Cvetič, Gorazd Kögerler, Reinhart |
| contents | 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 $a(Q^2) \equiv α_s(Q^2)/π$ 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 ($0<ν_0 \leq 1$). 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form Ayala, Cesar Cvetič, Gorazd Kögerler, Reinhart High Energy Physics - Phenomenology High Energy Physics - Theory 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 $a(Q^2) \equiv α_s(Q^2)/π$ 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 ($0<ν_0 \leq 1$). 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. |
| title | Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.09042 |