A discussion on leading renormalon in the pole mass

Abstract

Perturbative series of some quantities in quantum field theories, such as the pole mass of a quark, suffer from a kind of divergence called renormalon divergence. In this paper, the leading renormalon in the pole mass is investigated, and a map is introduced to suppress this renormalon. The inverse of the map is then used to generate the leading renormalon and obtain an expression to calculate its overall normalization. Finally, the overall normalization of the leading renormalon of the pole mass is calculated for several values of quark flavors.

arXiv commentThe published version; speculations about higher order renormalons are removed

References in corpus (11)

• Renormalons
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Naive nonabelianization and resummation of fermion bubble chains
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• Infrared Renormalization Group Flow for Heavy Quark Masses
• The Perturbative Pole Mass in QCD
• More on ambiguities in the pole mass
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Large-order perturbation theory for the electromagnetic current-current correlation function
• Normalization Constants of Large Order Behavior

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• Relations between Heavy-light Meson and Quark Masses
• Hyperasymptotic approximation to the top, bottom and charm pole mass
• Opportunities for lattice QCD in quark and lepton flavor physics
• Strong coupling constant and quark masses from lattice QCD
• Electric dipole transitions of $1P$ bottomonia
• Inclusive decays of ${\eta }_c$ and ${\eta }_b$ at NNLO with large $n_f$ resummation
• On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit
• First-order nonlinear eigenvalue problems involving functions of a general oscillatory behavior