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This contribution contains the first numerical computation of the complete set of relativistic corrections of relative order $v^{2}$ for electric dipole (E1) transitions in heavy quarkonium; in particular, for the processes $\chi_{bJ}(1P)…

High Energy Physics - Phenomenology · Physics 2018-12-03 Sebastian Steinbeißer , Jorge Segovia

We update determination of the $\overline{\rm MS}$ masses of the charm and bottom quarks, from comparisons of the masses of the charmonium and bottomonium $1S$ states with their perturbative predictions up to next-to-next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2017-03-23 Yuichiro Kiyo , Go Mishima , Yukinari Sumino

The pole mass of a heavy quark is ambiguous by an amount of order $\Lambda_{QCD}$. We show that the heavy-quark potential, $V(r)$, is similarly ambiguous, but that the total static energy, $2M_{pole}+V(r)$, is unambiguous when expressed in…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang , M. C. Smith , T. Stelzer , S. Willenbrock

We investigate the spectroscopy and decays of the charm-strange quarkonium system in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and…

High Energy Physics - Phenomenology · Physics 2009-09-02 Stanley F. Radford , Wayne W. Repko , Michael J. Saelim

We compute the pressure from first principles within perturbative QCD at finite baryon density and very high magnetic fields up to two-loops and with physical quark masses. The region of validity for our framework is given by $m_s \ll \mu_q…

High Energy Physics - Phenomenology · Physics 2024-03-29 Eduardo S. Fraga , Letícia F. Palhares , Tulio E. Restrepo

We compute the energy levels of some of the lower-lying heavy quarkonium states perturbatively up to O(alpha_s^5*m) and O(alpha_s^5*m*log[alpha_s]). Stability of the predictions depends crucially on the unknown 4-loop pole-MSbar mass…

High Energy Physics - Phenomenology · Physics 2015-06-17 Y. Kiyo , Y. Sumino

We show that the Borel resummed perturbative static potential at N_f=0 converges well, and is in a remarkable agreement with the quenched lattice calculation at distances 1/r > 660 MeV. This shows that Borel resummation is very good at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Taekoon Lee

We consider a different power counting in potential NRQCD by incorporating the static potential exactly in the leading order Hamiltonian. We compute the leading relativistic corrections to the inclusive electromagnetic decay ratios in this…

High Energy Physics - Phenomenology · Physics 2015-05-19 Yuichiro Kiyo , Antonio Pineda , Adrian Signer

A systematic study of a wide class of nonrelativistic models of $b\overline{b}$ quarkonia is described. It is found that the potential $V(r) = 0.706380(\sqrt{r} - \frac{0.460442}{r}) + 8.81715$ (all in GeV) with the $b$-quark mass $m_b =…

High Energy Physics - Phenomenology · Physics 2009-09-25 Leszek Motyka , Kacper Zalewski

In this paper we compare recent experimental data for the total cross section $\sigma(e^+e^-\to{hadrons})$ with the up-to-date theoretical prediction of perturbative QCD for those energies where perturbation theory is reliable. The…

High Energy Physics - Phenomenology · Physics 2010-05-28 J. H. Kühn , M. Steinhauser

We consider the scattering of two color dipoles (e.g., heavy quarkonium states) at low energy - a QCD analog of Van der Waals interaction. Even though the couplings of the dipoles to the gluon field can be described in perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Fujii , D. Kharzeev

We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses $\overline{m}_{q}(\overline{m}_{q})$ ($q=c,b$). At present, the pQCD corrections to the correlation functions of two…

High Energy Physics - Phenomenology · Physics 2026-05-11 Qing Yu , Hua Zhou , Xing-Gang Wu

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

A simple regularity in anticipating P-wave excitation energies of states with heavy quarks is noted. It can apply to systems such as the negative-parity $\Sigma_c$, $\Sigma_b$, and $\Omega_c$, $\bar Q Q$ quarkonia, and the bottom-charmed…

High Energy Physics - Phenomenology · Physics 2018-10-31 Marek Karliner , Jonathan L. Rosner

We consider a general scheme for calculating the leptonic constant of heavy quarkonium QQ-bar in the framework of nonrelativistic quantum chromodynamics, NRQCD, operating as the effective theory of nonrelativistic heavy quarks. We explore…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. V. Kiselev , A. K. Likhoded , O. N. Pakhomova , V. A. Saleev

We study the energy spectrum of bottomonium in perturbative QCD, taking alpha_s(Mz)=0.1181 +/- 0.0020 as input and fixing m_b^{MSbar}(m_b^{MSbar}) on the Upsilon(1S) mass. Contrary to wide beliefs, perturbative QCD reproduces reasonably…

High Energy Physics - Phenomenology · Physics 2009-06-12 N. Brambilla , Y. Sumino , A. Vairo

We investigate the electromagnetic polarizabilities of singly heavy mesons and doubly heavy baryons within the framework of heavy hadron chiral perturbation theory up to $\mathcal{O}(p^3)$. We estimate the low-energy constants using the…

High Energy Physics - Phenomenology · Physics 2026-05-07 Hao Dang , Liang-Zhen Wen , Yan-Ke Chen , Shi-Lin Zhu

The heavy quark-antiquark potential is accessible in perturbative QCD and in lattice simulations. The perturbative short-distance part of the potential is contructed via a restricted Fourier transform, covering the momentum region where…

High Energy Physics - Phenomenology · Physics 2011-08-30 Alexander Laschka , Norbert Kaiser , Wolfram Weise

Although individual levels of toponium will be unobservable, the top--anti--top system near threshold fulfills all requirements of a rigorous perturbation theory in QCD for weakly bound systems. Corresponding techniques from positronium may…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Kummer , W. Moedritsch

The effective charges motivated method is applied to the relation between pole and $\rm{\overline{MS}}$-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running…

High Energy Physics - Phenomenology · Physics 2018-12-05 A. L. Kataev , V. S. Molokoedov