Heavy Quark Masses from Sum Rules in Four-Loop Approximation

Abstract

New data for the total cross section $\sigma (e^{+}{e}^{-}\to hadrons)$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance $\overline{\mathrm{MS}}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\overline{\mathrm{MS}}$-masses, $m_c(3GeV)=0.986(13)$ GeV and $m_b(10GeV)=3.609(25)$ GeV, can be translated into $m_c(m_c)=1.286(13)$ GeV and $m_b(m_b)=4.164(25)$ GeV. This analysis is consistent with but significantly more precise than a similar previous study.

29 pages

References in corpus (1)

• Measurements of the continuum $R_{\mathrm{uds}}$ and $R$ values in $e^{+}{e}^{-}$ annihilation in the energy region between 3.650 and 3.872 GeV

Cited by in corpus (12)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Electroweak Corrections to the Charm Quark Contribution to K+ -> pi+ nu nu-bar
• Charged-Higgs effects in a new B -> D tau nu differential decay distribution
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• The running fine structure constant alpha(E) via the Adler function
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Normalizing inclusive rare B decays
• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• Combined fixed-order and effective-theory approach to $b\bar{b}$ sum rules
• On the determination of |V_{ub}| from inclusive semileptonic B decays