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We determine the bottom $\bar{\rm MS}$ quark mass $\bar{m}_b$ and the quark mass in the potential subtraction scheme from moments of the $b\bar{b}$ production cross section and from the mass of the Upsilon 1S state at…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Beneke , A. Signer

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)…

高能物理 - 唯象学 · 物理学 2014-12-17 M. Beneke , A. Maier , J. Piclum , T. Rauh

The bottom quark pole mass $M_b$ is determined using a sum rule which relates the masses and the electronic decay widths of the $\Upsilon$ mesons to large $n$ moments of the vacuum polarization function calculated from nonrelativistic…

高能物理 - 唯象学 · 物理学 2008-11-26 A. H. Hoang

We compute the two-loop term in the perturbation series for the quark-mass in the lattice Heavy Quark Effective Theory. This is an ingredient in the matching factor required to obtain the $b$-quark mass from lattice simulations of the HQET.…

高能物理 - 格点 · 物理学 2009-10-09 G. Martinelli , C. T. Sachrajda

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,…

高能物理 - 唯象学 · 物理学 2016-01-14 Martin Beneke , Andreas Maier , Jan Piclum , Thomas Rauh

New data for the total cross section $\sigma(e^+e^-\to{hadrons})$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance…

高能物理 - 唯象学 · 物理学 2008-11-26 Johann H. Kuehn , Matthias Steinhauser , Christian Sturm

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 $\bar{\text {MS}}$ scheme at a reference scale of $10\, {GeV}$ is…

高能物理 - 唯象学 · 物理学 2015-06-03 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

We use the ${\cal O}(\alpha_s^3)$ approximation of the heavy-quark vacuum polarization function in the threshold region to determine the bottom quark mass from nonrelativistic $\Upsilon$ sum rules. We find very good stability and…

高能物理 - 唯象学 · 物理学 2014-05-23 Alexander A. Penin , Nikolai Zerf

We study the uncertainties in the MSbar bottom quark mass determination using relativistic sum rules to O(alpha_S^2). We include charm mass effects and secondary b bbar production and treat the experimental continuum region more…

高能物理 - 唯象学 · 物理学 2011-01-25 Gennaro Corcella , Andre H. Hoang

We determine the bottom quark mass $\hat{m}_b$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD to ${\cal O} (\hat\alpha_s^3)$. Our approach is based on the mutual consistency across a set of…

高能物理 - 唯象学 · 物理学 2022-11-30 Jens Erler , Pere Masjuan , Hubert Spiesberger

The mass of the bottom quark is analyzed in the context of QCD finite energy sum rules. In contrast to the conventional approach, we use a large momentum expansion of the QCD correlator including terms to order \alpha…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Bordes , J. Penarrocha , K. Schilcher

The effects of the finite charm quark mass on bottom quark mass determinations from $\Upsilon$ sum rules are examined in detail. The charm quark mass effects are calculated at next-to-next-to-leading order in the non-relativistic power…

高能物理 - 唯象学 · 物理学 2007-05-23 A. H. Hoang

The talk presents an update of the bottom quark mass determination from QCD moment sum rules for the Upsilon system by the authors. Employing the MS_bar scheme, we find m_b(m_b) = 4.19 +- 0.06 GeV. The differences to our previous analysis…

高能物理 - 唯象学 · 物理学 2011-01-25 M. Jamin , A. Pich

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…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Boughezal , M. Czakon , T. Schutzmeier

The bottom quark 1S mass, $M_b^{1S}$, is determined using sum rules which relate the masses and the electronic decay widths of the $\Upsilon$ mesons to moments of the vacuum polarization function. The 1S mass is defined as half the…

高能物理 - 唯象学 · 物理学 2008-11-26 A. H. Hoang

New data for the total cross section sigma(e^+e^- --> hadrons) in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance…

高能物理 - 唯象学 · 物理学 2007-05-23 Johann H. Kuhn , Matthias Steinhauser , Christian Sturm

The mass of the bottom quark and the strong coupling constant alpha_s are determined from QCD moment sum rules for the Upsilon system. Two analyses are performed using both the pole mass M_b as well as the mass m_b in the $\MSb$ scheme. In…

高能物理 - 唯象学 · 物理学 2008-11-26 Matthias Jamin , Antonio Pich

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…

高能物理 - 唯象学 · 物理学 2008-11-26 A. A. Penin , A. A. Pivovarov

The b quark low-scale running mass m_kin is determined from an analysis of the Upsilon sum rules in the next-to-next-to-leading order (NNLO). It is demonstrated that using this mass one can significantly improve the convergence of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Kirill Melnikov , Alexander Yelkhovsky

We present new determinations of the MS-bar charm quark mass using relativistic QCD sum rules at O(alpha_s^3) from the moments of the vector and the pseudoscalar current correlators. We use available experimental measurements from e+e-…

高能物理 - 唯象学 · 物理学 2015-09-02 Bahman Dehnadi , Andre H. Hoang , Vicent Mateu
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