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This is an elementary introduction to the recent significant theoretical progress in the field of heavy quarkonium physics. We show how renormalon cancellation takes place in the heavy quarkonium system, such as bottomonium and (remnant of)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Sumino

Theoretical predictions for inclusive semileptonic B decay rates are rewritten in terms of the Upsilon(1S) meson mass instead of the b quark mass, using a modified perturbation expansion. This method gives theoretically consistent and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre H. Hoang , Zoltan Ligeti , Aneesh V. Manohar

We present an evaluation of heavy quarkonium states (bottomium and charmonium) from first principles. We use tree-level QCD (including relativistic corrections) and the full one-loop potential; nonperturbative effects are taken into account…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Titard , F. F. Yndurain

Recent results on the QCD analysis of bound states of heavy $\bar{q}q$ quarks are reviewed, paying attention to what can be derived from the theory with a reasonable degree of rigour. We report a calculation of $\bar{b}c$ bound states; a…

High Energy Physics - Phenomenology · Physics 2011-01-27 F. J. Yndurain

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 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 analyze sum rules for the $\Upsilon$ system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We find for the pole mass of the bottom quark $m_b=4.75\pm 0.04 GeV$ and for the strong coupling…

High Energy Physics - Phenomenology · Physics 2016-08-15 J. H. Kühn , A. A. Penin , A. A. Pivovarov

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bordes , J. Penarrocha , K. Schilcher

The mass of the eta_b(1S), measured recently by BABAR, is significantly lower than expected from QCD predictions for the Upsilon(1S) - eta_b(1S) hyperfine splitting. We suggest that the observed eta_b(1S) mass is shifted downwards due to a…

High Energy Physics - Phenomenology · Physics 2009-12-07 Florian Domingo , Ulrich Ellwanger , Miguel-Angel Sanchis-Lozano

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. H. Hoang

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Hoang

We compute the decay rates for the processes $Z\to V+\gamma$, where $Z$ is the $Z$ boson, $\gamma$ is the photon, and $V$ is one of the vector quarkonia $J/\psi$ or $\Upsilon(nS)$, with $n=1$, $2$, or $3$. Our computations include…

High Energy Physics - Phenomenology · Physics 2018-01-24 Geoffrey T. Bodwin , Hee Sok Chung , June-Haak Ee , Jungil Lee

Using CLEO data, we report on the confirmation of the eta_b(1S0) ground state of bottomonium in the radiative decay Upsilon(3S) -> gamma eta_b. We determine its mass to be M(eta_b) = 9391.8 +- 6.6 +- 2.1 MeV, which corresponds to the…

High Energy Physics - Experiment · Physics 2015-05-18 Sean Dobbs

As a sister work of Ref.[1], we incorporate the color-screening effect due to light quark pair creation into the heavy quark-antiquark potential, and investigate the effects of screened potential on the spectrum of bottomonium. We calculate…

High Energy Physics - Phenomenology · Physics 2009-11-30 Bai-Qing Li , Kuang-Ta Chao

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(\alpha_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Kwiatkowski , Matthias Steinhauser

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kirill Melnikov , Alexander Yelkhovsky

We compute the mass of the b-quark and the B_s meson decay constant in quenched lattice QCD using a combination of HQET and the standard relativistic QCD Lagrangian. We start from a small volume, where one can directly deal with the…

High Energy Physics - Lattice · Physics 2011-01-27 Damiano Guazzini , Rainer Sommer , Nazario Tantalo

We include two loop, relativistic one loop and second order relativistic tree level corrections, plus leading nonperturbative contributions, to obtain a calculation of the lower states in the heavy quarkonium spectrum correct up to, and…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. Pineda , F. J. Yndurain

We examine the electronic width ratios of Upsilon resonances below the BBbar threshold by means of an effective (Cornell-type) QCD potential incorporating 1/m_b corrections obtained from a prior fit to the bottomonium spectrum. From our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan-Luis Domenech-Garret , Miguel-Angel Sanchis-Lozano

Recent results from lattice QCD simulations provide a realistic picture, based upon first principles, of~$\Upsilon$ physics. We combine these results with the experimentally measured mass of the $\Upsilon$~meson to obtain an accurate and…

High Energy Physics - Lattice · Physics 2009-10-22 C. T. H. Davies , K. Hornbostel , A. Langnau , G. P. Lepage , A. Lidsey , C. J. Morningstar , J. Shigemitsu , J. Sloan