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Related papers: The QCD Static Energy using Optimal Renormalizatio…

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We resum the leading ultrasoft logs of the singlet and octet static QCD potentials within potential NRQCD. We then obtain the complete three-loop renormalization group improvement of the singlet QCD static potential. The discrepancies…

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Pineda , Joan Soto

The strong coupling $\alpha_s$ is extracted with high precision through fits to lattice-QCD data for the static energy. Our theoretical framework is based on R-improving the three-loop fixed-order prediction for the static energy: we remove…

High Energy Physics - Phenomenology · Physics 2026-02-04 Jose M. Mena-Valle

A full analytic calculation of the two-loop diagrams contributing to the static potential in QCD is presented in detail. Using a renormalization group improvement, the ``three-loop'' potential in momentum space is thus derived and the third…

High Energy Physics - Phenomenology · Physics 2009-10-30 Markus Peter

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

The three renormalization-group-accessible three-loop coefficients of powers of logarithms within the \bar{MS} series momentum-space for the QCD static potential are calculated and compared to values obtained via asymptotic…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. A. Chishtie , V. Elias

The strong coupling $\alpha_s$ is determined with high precision from fits to lattice QCD simulations on the static energy. Our theoretical setup relies on R-improving the three-loop fixed-order prediction for the static energy by removing…

High Energy Physics - Phenomenology · Physics 2026-02-04 Jose M. Mena-Valle , Vicent Mateu , Pablo G. Ortega

Recently evidence has been found that the perturbative QCD potential agrees well with phenomenological potentials and lattice computations of the QCD potential. We review the present status of the perturbative QCD potential and theoretical…

High Energy Physics - Phenomenology · Physics 2017-08-23 Y. Sumino

We compute the static energy of QCD at short distances at next-to-next-to-next-to leading-logarithmic accuracy in terms of the three-loop singlet potential. By comparing our results with lattice data we extract the value of the unknown…

High Energy Physics - Phenomenology · Physics 2009-09-02 Nora Brambilla , Xavier Garcia i Tormo , Joan Soto , Antonio Vairo

We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in…

High Energy Physics - Phenomenology · Physics 2020-09-01 Cesar Ayala , Xabier Lobregat , Antonio Pineda

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

High Energy Physics - Lattice · Physics 2017-04-05 Stefan Sint

Physical quantities in QCD are independent of renormalization scheme (RS), but that exact invariance is spoiled by truncations of the perturbation series. "Optimization" corresponds to making the perturbative approximant, at any given…

High Energy Physics - Phenomenology · Physics 2016-06-23 P. M. Stevenson

The problem of precise evaluation of perturbative QCD predictions at moderate energies is addressed. In order to improve stability of the predictions with respect to change of the renormalization scheme it is proposed to replace the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the $O(\Lambda_{\text{QCD}})$ renormalon appearing in the static…

High Energy Physics - Phenomenology · Physics 2023-01-11 Xiang-Peng Wang

We analyze the static QCD potential V_QCD(r) in the distance region 0.1 fm < r < 1 fm using perturbative QCD and OPE as basic theoretical tools. We assemble theoretical developments up to date and perform a solid and accurate analysis. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Sumino

We investigate the effects of including the full three-loop QCD correction to the static short distance $1/r$ potential on the spectroscopy and decays in the charmonium and upsilon systems. We use a variational technique with the full…

High Energy Physics - Phenomenology · Physics 2013-08-28 Wayne W. Repko , Marco D. Santia , Stanley F. Radford

We extend our treatment of the the spectroscopy and decays of the charm-strange quarkonium system to include the effect of using the full three-loop QCD correction to the static short distance potential. As before, our potential model…

High Energy Physics - Phenomenology · Physics 2016-10-10 Noah Green , Wayne W. Repko , Stanley F. Radford

New lattice data for the Pi_u and Sigma_u^- potentials at short distances are presented. We compare perturbation theory to the lower static hybrid potentials and find good agreement at short distances, once the renormalon ambiguities are…

High Energy Physics - Phenomenology · Physics 2011-01-27 Gunnar S. Bali , Antonio Pineda

We develop a procedure to analytically calculate higher-order contributions to the high-temperature real-time static potential in QCD. It is based on the introduction of a semi-hard external scale, which lies between the hard scale (the…

High Energy Physics - Phenomenology · Physics 2025-09-30 Margaret E. Carrington , Cristina Manuel , Joan Soto

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

High Energy Physics - Phenomenology · Physics 2024-01-17 Andreas S. Kronfeld
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