Light quark mass effects in the on-shell renormalization constants

Abstract

We compute the three-loop relation between the pole and the minimally subtracted quark mass allowing for virtual effects from a second massive quark. We also consider the analogue effects for the on-shell wave function renormalization constant.

24 pages

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Cited by in corpus (46)

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• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
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• Anomalous magnetic moment with heavy virtual leptons
• On the Light Massive Flavor Dependence of the Large Order Asymptotic Behavior and the Ambiguity of the Pole Mass
• Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
• Simultaneous decoupling of bottom and charm quarks
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• The MSR Mass and the $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ Renormalon Sum Rule
• mr: a C++ library for the matching and running of the Standard Model parameters
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• Three-loop on-shell Feynman integrals with two masses
• Matching QCD and HQET heavy-light currents at three loops
• Moments of heavy quark correlators with two masses: exact mass dependence to three loops
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• Relations between Heavy-light Meson and Quark Masses
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Electron contribution to the muon anomalous magnetic moment at four loops
• Pole mass renormalon and its ramifications
• Hyperasymptotic approximation to the top, bottom and charm pole mass
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• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• The Standard Model at 200 GeV
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Dependence of five and six-loop estimated QCD corrections to the relation between pole and running masses of heavy quarks on the number of light flavours
• Matching heavy-quark fields in QCD and HQET at three loops
• Next-to-next-to-leading-order QCD corrections to $J/\psi$ plus ${\eta }_c$ production at the $B$ factories
• Matching the heavy-quark fields in QCD and HQET at four loops
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
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• 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines
• On-shell renormalisation constants including two different nonzero masses
• Matching QCD and HQET at three loops
• On the Light Massive Flavor Dependence of the Top Quark Mass
• Bottom and Charm Quark Mass Determination from Quarkonium at N${}^3$LO