Renormalon resummation with a holomorphic timelike coupling yields estimates for b and c quark pole masses and related hadronic parameters from MS-bar inputs and known series coefficients.
Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
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abstract
Results on the resummation of non-power-series expansions of the Adler function of a scalar, $D_S$, and a vector, $D_V$, correlator are presented within fractional analytic perturbation theory (FAPT). The first observable can be used to determine the decay width $\Gamma_{H\to b\bar{b}}$ of a scalar Higgs boson to a bottom-antibottom pair, while the second one is relevant for the $e^+e^-$ annihilation cross section. The obtained estimates are compared with those from fixed-order (FOPT) and contour-improved perturbation theory (CIPT), working out the differences. We prove that although FAPT and CIPT are conceptually different, they yield identical results. The convergence properties of these expansions are discussed and predictions are extracted for the resummed series of $R_S$ and $D_V$ using one- and two-loop coupling running, and making use of appropriate generating functions for the coefficients of the perturbative series.
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hep-ph 3years
2026 3representative citing papers
Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
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Renormalon-based resummation for B(D) Mesons
Renormalon resummation with a holomorphic timelike coupling yields estimates for b and c quark pole masses and related hadronic parameters from MS-bar inputs and known series coefficients.
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Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
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