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Related papers: Analytic three-loop static potential

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We calculate the static quark and anti-quark potential both in quenched and two-flavor dynamical quark lattice QCD using DBW2 gauge and domain-wall quark actions. Lattice spacings from Sommer scale are determined. We find (i) mixing of…

High Energy Physics - Lattice · Physics 2019-08-14 Koichi Hashimoto , Taku Izubuchi

We extend a previous investigation of the QCD phase diagram with heavy quarks in the context of background field methods by including the two-loop corrections to the background field effective potential. The nonperturbative dynamics in the…

High Energy Physics - Phenomenology · Physics 2018-05-02 J. Maelger , U. Reinosa , J. Serreau

The definition of the quark-antiquark static potential is given within an effective field theory framework. The leading infrared divergences of the static singlet potential in perturbation theory are explicitly calculated.

High Energy Physics - Phenomenology · Physics 2009-12-30 N. Brambilla , A. Pineda , J. Soto , A. Vairo

We compute the quark-antiquark potential in three dimensional massive Quantum Electrodynamics. The result indicates that screening prevails for large quark masses, contrary to the classical expectations. The classical result is reproduced…

High Energy Physics - Theory · Physics 2009-10-30 E. Abdalla , R. Banerjee

This paper deals with quantum fluctuations near the classical instanton configuration. Feynman diagrams in the instanton background are used for the calculation of the tunneling amplitude (the instanton density) in the three-loop order for…

High Energy Physics - Theory · Physics 2015-11-05 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

The potential of a static quark-antiquark pair is studied in the range 0.05 fm $<$ r $<$ 0.8 fm, employing a sequence of lattices up to 64^4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2009-11-07 Silvia Necco

Leading terms of the static quark-antiquark potential in the background perturbation theory are reviewed, including perturbative, nonperturbative and interference ones. The potential is shown to describe lattice data at short…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. M. Badalian , D. S. Kuzmenko

We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in $x$-space. These terms are relevant for calculating the polarized structure function $g_1(x,Q^2)$ at $O(\alpha_s^3)$ as…

High Energy Physics - Phenomenology · Physics 2020-01-15 J. Ablinger , J. Blümlein , A. De Freitas , M. Saragnese , C. Schneider , K. Schönwald

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of…

High Energy Physics - Lattice · Physics 2015-05-20 Michael Donnellan , Francesco Knechtli , Björn Leder , Rainer Sommer

The 1/k contribution to the heavy quark potential is first generated at one loop order in QCD. We compute the two loop anomalous dimension for this potential, and find that the renormalization group running is significant. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar , Iain W. Stewart

We evaluate the three-loop corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and non-relativistic QCD. The result is presented in the MSbar scheme where large perturbative corrections are…

High Energy Physics - Phenomenology · Physics 2014-03-05 Peter Marquard , Jan H. Piclum , Dirk Seidel , Matthias Steinhauser

We investigate static quark anti-quark operators based on trial states formed from eigenvectors of the covariant three-dimensional lattice Laplace operator. We test the method by computing the static quark-anti-quark potential and comparing…

High Energy Physics - Lattice · Physics 2023-04-24 Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

We compute the heavy quark potential on configurations generated by the HEMCGC collaboration with dynamical staggered fermions at $6/g^2 = 5.6$ and with dynamical Wilson fermions at $6/g^2 = 5.3$. The computations are done on $16^3 \times…

High Energy Physics - Lattice · Physics 2010-11-01 U. M. Heller , Khalil M. Bitar , R. G. Edwards , A. D. Kennedy

We report on the measurement of the static potential and the scale r_0 from HYP-smeared Wilson loops in two flavour QCD. We analyse the quark mass dependence of the potential and r_0 at three lattice spacings. We also compare the QCD static…

High Energy Physics - Lattice · Physics 2015-03-17 Francesco Knechtli , Björn Leder

We present recent results on newly calculated 2- and 3-loop contributions to the heavy quark parts of the structure functions in deep-inelastic scattering due to charm and bottom.

High Energy Physics - Phenomenology · Physics 2016-09-21 J. Ablinger , A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

We describe the Wuppertal university pilot project in applied parallel computing. We report on a comprehensive high statistics determination of the static quark-antiquark potential and related quantities from quenched quantum…

High Energy Physics - Lattice · Physics 2011-04-15 K. Schilling , G. S. Bali

We present an extensive study on the direct determination of the running coupling alpha_s from the static quark antiquark force at short distances, in quenched QCD. We find from our high statistics potential analysis that alpha_qq exhibits…

High Energy Physics - Lattice · Physics 2011-07-19 K. Schilling , G. S. Bali

We study the symmetries of the three heavy-quark system under exchange of the quark fields within the effective field theory framework of potential non-relativistic QCD. The symmetries constrain the form of the matching coefficients in the…

High Energy Physics - Phenomenology · Physics 2013-04-16 Nora Brambilla , Felix Karbstein , Antonio Vairo

For a few observables in O(a) improved lattice QCD, we compute discretization effects arising from the vacuum polarization of a heavy quark at one-loop order. In particular, the force between static quarks, the running coupling in the…

High Energy Physics - Lattice · Physics 2015-05-30 Andreas Athenodorou , Rainer Sommer

We consider the three-loop corrections to the static potential which are induced by a closed fermion loop. For the reduction of the occurring integrals a combination of the Gr\"obner and Laporta algorithm has been used and the evaluation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser