Heavy Quark Masses from Sum Rules in Four-Loop Approximation

Feb, 2007
29 pages
Published in:
  • Nucl.Phys.B 778 (2007) 192-215
e-Print:
Report number:
  • SFB-CPP-07-03,
  • TTP07-02

Citations per year

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Abstract:
New data for the total cross section σ(e+ehadrons)\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 MSˉ\bar{\rm MS} charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the MSˉ\bar{\rm MS}-masses, mc(3GeV)=0.986(13)m_c(3 {GeV})=0.986(13) GeV and mb(10GeV)=3.609(25)m_b(10 {GeV})=3.609(25) GeV, can be translated into mc(mc)=1.286(13)m_c(m_c)=1.286(13) GeV and mb(mb)=4.164(25)m_b(m_b)=4.164(25) GeV. This analysis is consistent with but significantly more precise than a similar previous study.
  • 14.65.Dw
  • 12.38.-t
  • 14.65.Fy
  • heavy quark
  • mass: charm
  • mass: bottom
  • Feynman graph: higher-order
  • threshold: background
  • electron positron: annihilation
  • quark: pair production