The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO

Abstract

We obtain an improved determination of the normalization constant of the first infrared renormalon of the pole mass (and the singlet static potential). For $N_f=3$ it reads $N_m=0.563(26)$. Charm quark effects in the bottom quark mass determination are carefully investigated. Finally, we determine the bottom quark mass using the NNNLO perturbative expression for the ${\rm Y}(1S)$ mass. We work in the renormalon subtracted scheme, which allows us to control the divergence of the perturbation series due to pole mass renormalon. Our result for the $\overline{\mathrm{MS}}$ mass reads ${\overline{m}}_b({\overline{m}}_b)=4201(43)$ MeV.

37 pages, 11 figures, minor changes in presentation, version to appear in JHEP

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Cited by in corpus (11)

• Quark mass relations to four-loop order
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• On the Light Massive Flavor Dependence of the Large Order Asymptotic Behavior and the Ambiguity of the Pole Mass
• Analytic three-loop static potential
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation
• Decay constants $f_B$ and $f_{B_s}$ and quark masses $m_b$ and $m_c$ from HISQ simulations
• Bottom and Charm Quark Mass Determination from Quarkonium at N${}^3$LO