Mass of the $b$ Quark from QCD Sum Rules for $f_{B_{(s)}}$

Wolfgang Lucha; Dmitri Melikhov; Silvano Simula

Mass of the $b$ Quark from QCD Sum Rules for $f_{B_{(s)}}$

High Energy Physics - Phenomenology 2014-04-15 v1 High Energy Physics - Lattice

Authors: Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Abstract

We demonstrate that Borel QCD sum rules for heavy-light currents entail a very strong correlation between the $b$ -quark mass $m_b$ and the $B$ -meson decay constant $f_B,$ that is, $\delta f_B/f_B\approx-8\delta m_b/m_b.$ By starting from $f_B$ as input, this observation allows for an accurate sum-rule determination of $m_b.$ Employing precise lattice QCD results for $f_B$ in our sum-rule study based on the three-loop $O(\alpha_s^2)$ heavy-light correlation function implies $\bar{m}_b(\bar{m}_b)=(4.247\pm0.034)$ GeV for the $b$ -quark $\bar{\rm MS}$ mass.

Keywords

b-quark mass QCD sum rules B-meson decay constant heavy-light currents Borel transformation lattice QCD MS-bar mass

Cite

@article{arxiv.1309.5611,
  title  = {Mass of the $b$ Quark from QCD Sum Rules for $f_{B_{(s)}}$},
  author = {Wolfgang Lucha and Dmitri Melikhov and Silvano Simula},
  journal= {arXiv preprint arXiv:1309.5611},
  year   = {2014}
}

Comments

7 pages, 1 figure, talk presented at the European Physical Society Conference on High Energy Physics - EPS-HEP2013, 18-24 July 2013, Stockholm, Sweden

Mass of the $b$ Quark from QCD Sum Rules for $f_{B_{(s)}}$

Abstract

Keywords

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