Bottom-quark mass from finite energy QCD sum rules

Abstract

Finite energy QCD sum rules involving both inverse and positive moment integration kernels are employed to determine the bottom quark mass. The result obtained in the $\overline{\text{MS}}$ scheme at a reference scale of $10GeV$ is ${\bar{m}}_b(10\text{GeV})=3623(9)\text{MeV}$. This value translates into a scale invariant mass ${\bar{m}}_b({\bar{m}}_b)=4171(9)MeV$. This result has the lowest total uncertainty of any method, and is less sensitive to a number of systematic uncertainties that affect other QCD sum rule determinations.

An appendix has been added with explicit expressions for the polynomials used in Table I

References in corpus (10)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Charm and Bottom Quark Masses from Perturbative QCD
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Four-Loop Tadpoles: Applications in QCD
• Renormalization Group Improved Sum Rule Analysis for the Bottom Quark Mass
• QCD sum rule determination of the charm-quark mass
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators

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