Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$

Wolfgang Lucha; Dmitri Melikhov; Silvano Simula

doi:10.1103/PhysRevD.88.056011

Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$

High Energy Physics - Phenomenology 2013-09-17 v2

Authors: Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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Abstract

We prove that Borel QCD sum rules for heavy-light currents yield very strong correlations between the $b$ -quark mass $m_b$ and the $B$ -meson decay constant $f_B$ , namely, $\delta f_B/f_B\approx -8\,\delta m_b/m_b$ . This fact opens the possibility of an accurate sum-rule extraction of $m_b$ by using $f_B$ as input. Combining precise lattice QCD determinations of $f_B$ with our sum-rule analysis based on the three-loop $O(\alpha_s^2)$ heavy-light correlation function leads to $\bar{m}_b(\bar{m}_b)=(4.247\pm0.034)\;\mbox{GeV}$ .

Keywords

bottom-quark mass Borel QCD sum rules heavy-light currents B-meson decay constant lattice QCD heavy-light correlation function

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@article{arxiv.1305.7099,
  title  = {Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$},
  author = {Wolfgang Lucha and Dmitri Melikhov and Silvano Simula},
  journal= {arXiv preprint arXiv:1305.7099},
  year   = {2013}
}

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11 pages

Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$

Abstract

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