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Related papers: Bottom quark mass from QCD sum rules for the Upsil…

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The mass of the bottom quark can be determined with high precision from moments of the pair-production cross section sigma(e+ e- -> b bbar) near threshold. We present the first complete NNNLO determination from non-relativistic sum rules,…

High Energy Physics - Phenomenology · Physics 2016-01-14 Martin Beneke , Andreas Maier , Jan Piclum , Thomas Rauh

Using new four-loop results for the heavy quark vacuum polarization and new data for bottom quark production in electron-positron annihilation, an update on the determination of charm- and bottom-quark masses through sum rules has been…

High Energy Physics - Phenomenology · Physics 2015-02-11 K. G. Chetyrkin , J. H. Kuhn , A. Maier , P. Maierhöfer , P. Marquard , M. Steinhauser , C. Sturm

We determine the mass of the bottom quark from high moments of the bottom production cross section in e+ e- annihilation, which are dominated by the threshold region. On the theory side next-to-next-to-next-to-leading order (NNNLO)…

High Energy Physics - Phenomenology · Physics 2014-12-17 M. Beneke , A. Maier , J. Piclum , T. Rauh

We update our perturbative determination of MSbar bottom quark mass mb(mb), by including the recently obtained four-loop coefficient in the relation between the pole and MSbar mass. First the renormalon subtracted (RS or RS') mass is…

High Energy Physics - Phenomenology · Physics 2016-12-21 Cesar Ayala , Gorazd Cvetic , Antonio Pineda

Using recently evaluated contributions (including a novel one calculated here), we present updated values for the pole mass and $\bar{MS}$ mass of the $b$ quark: $m_b=5022\pm58$ MeV, for the pole mass, and $\bar{m}_b(\bar{m}_b)=4286\pm36$…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. J. Yndurain

The value of the bottom quark mass at M_Z in the DR-bar scheme is an important input for the analysis of supersymmetric models with a large value of tan(beta). Conventionally, however, the running bottom quark mass extracted from…

High Energy Physics - Phenomenology · Physics 2011-01-27 H. Baer , J. Ferrandis , K. Melnikov , X. Tata

As tests of QCD in the bottomonium system, we give the most accurate results to date for the ground-state hyperfine splitting and the $\Upsilon$ leptonic width from full lattice QCD. These quantities are both accurately known from…

High Energy Physics - Lattice · Physics 2021-11-12 C. T. H. Davies , D. Hatton , J. Koponen , G. P. Lepage , A. T. Lytle

We determine the bottom quark mass from non-relativistic large-n Upsilon sum rules with renormalization group improvement at next-to-next-to-leading logarithmic order. We compute the theoretical moments within the vNRQCD formalism and…

High Energy Physics - Phenomenology · Physics 2012-11-07 Andre Hoang , Pedro Ruiz-Femenia , Maximilian Stahlhofen

Using a new result for the first moment of the hadronic production cross section at order ${\cal O}(\alpha_s^3)$, and new data on the $J/\psi$ and $\psi'$ resonances for the charm quark, we determine the \msb masses of the charm and bottom…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Boughezal , M. Czakon , T. Schutzmeier

The decay constants of the pseudoscalar mesons B and B_s are evaluated from QCD sum rules for the pseudoscalar two-point function. Recently calculated perturbative three-loop QCD corrections are incorporated into the sum rule. An analysis…

High Energy Physics - Phenomenology · Physics 2011-05-05 Matthias Jamin , Bjorn O. Lange

We report on a recent determination of the bottom quark mass from nonrelativistic (large-n) Upsilon sum rules with renormalization group improvement (RGI) at next-to-next-to-leading logarithmic (NNLL) order. The comparison to previous…

High Energy Physics - Phenomenology · Physics 2013-01-25 Maximilian Stahlhofen

Using the non-relativistic version of Borel sum rules, combined to the very accurate experimental information on the Charmonium and Upsilon spectra, we rigorously investigate the Euclidean mass of the Charm and Bottom quark. Our analysis is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chabab , R. Markazi , E. H. Saidi

We present a consistent analysis of $\Upsilon$ sum rules and $B$-meson semileptonic width in the next-to-next-to-leading order in the strong coupling constant. The analysis is based on the analytical result for the heavy quark vector…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Penin , A. A. Pivovarov

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…

High Energy Physics - Phenomenology · Physics 2013-09-17 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the shift in the $\Upsilon$ mass due to a non-zero charm quark mass. This shift affects the value of the $\bar{\rm MS}$ $b$-quark mass extracted from the $\Upsilon$ system by about -20 MeV, due to an incomplete cancellation of…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. H. Hoang , A. V. Manohar

We present a new measurement of the bottom quark mass in the $\bar{MS}$ scheme at the renormalization scale of the Higgs boson mass from measurements of Higgs boson decay rates at the LHC: $m_b(m_H)= 2.60^{+0.36}_{-0.31}$ GeV. The…

In this paper, we explore the properties of the bottom-quark on-shell mass ($M_b$) by using its relation to the $\overline{\rm MS}$ mass (${\overline m}_b$). At present, this $\overline{\rm MS}$-on-shell relation has been known up to…

High Energy Physics - Phenomenology · Physics 2024-11-08 Shun-Yue Ma , Xu-Dong Huang , Xu-Chang Zheng , Xing-Gang Wu

The QCD sum rules for moments of production cross section of $b \overline b$ states in $e^+\,e^-$ annihilation are extremely sensitive to the values of $m_b$ and $\alpha_s$ for moments of large order $n$. This enables one to extract from…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. B. Voloshin

We consider the properties of the ground state of bottomium. The $\Upsilon$ mass is evaluated to two loops, and including leading higher order [$O(\alpha_s^5\log\alpha_s)$] and $m_c^2/m_b^2$ corrections. This allows us to present updated…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. J. Yndurain

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative…

High Energy Physics - Phenomenology · Physics 2019-02-20 C. A. Dominguez , A. Mes , K. Schilcher