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In this paper, we present preliminary results of the determination of the charm quark mass $\hat{m}_c$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at ${\cal O} (\hat \alpha_s^3)$.…

High Energy Physics - Phenomenology · Physics 2016-12-21 Jens Erler , Pere Masjuan , Hubert Spiesberger

We present O(g^4) calculations of both planar and non-planar Wilson loops for various actions in the presence of sea quarks. In particular, the plaquette, the static potential and the static self energy are calculated to this order for…

High Energy Physics - Lattice · Physics 2007-05-23 Gunnar S. Bali , Peter Boyle

We determine the strong coupling constant $\alpha_s$ from a lattice calculation of vacuum polarization functions (VPF) in three-flavor QCD with dynamical overlap fermions. Fitting lattice data of VPF to the continuum perturbative formula…

High Energy Physics - Lattice · Physics 2014-09-05 E. Shintani , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , T. Onogi , N. Yamada

We investigate the QCD phase diagram in the strong-coupling lattice QCD with fluctuation and $1/g^2$ effects by using the auxiliary field Monte-Carlo simulations. The complex phase of the Fermion determinant at finite chemical potential is…

High Energy Physics - Lattice · Physics 2015-12-29 Akira Ohnishi , Terukazu Ichihara

We extract an effective strong coupling constant using low-Q^2 data and sum rules. Its behavior is established over the full Q^2-range and is compared to calculations based on lattice QCD, Schwinger-Dyson equations and a quark model.…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Deur

Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered…

High Energy Physics - Lattice · Physics 2014-11-18 Wolfgang Unger

We present results for QCD with 2 degenerate flavours of quark using a non-perturbatively improved action on a lattice volume of $16^3\times32$ where the bare gauge coupling and bare dynamical quark mass have been chosen to maintain a fixed…

High Energy Physics - Lattice · Physics 2009-10-31 Alan C. Irving , UKQCD Collaboration

I outline the basic strategies for the computation of charm and bottom quark masses by means of lattice QCD, where particular emphasis is placed on the non-perturbative renormalization of the effective theory for the b-quark in heavy-light…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger

Vacuum of Quantum Chromodynamics in very strong (hadron-scale) magnetic fields exhibits many interesting nonperturbative effects. Some of these effects can be studied with the help of lattice simulations in quenched QCD. We review our…

High Energy Physics - Phenomenology · Physics 2009-09-15 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

The strong coupling $\alpha_\mathrm{s}$ can be obtained from the static energy as shown in previous lattices studies. For short distances, the static energy can be calculated both on the lattice with the use of Wilson line correlators, and…

We present the current status of our lattice QCD determination of the charm quark mass using $N_\mathrm{f}=2+1$ dynamical, non-perturbatively $\mathrm{O}(a)$ improved Wilson fermions. A subset of CLS ensembles with five different lattice…

High Energy Physics - Lattice · Physics 2019-09-13 Jochen Heitger , Fabian Joswig , Simon Kuberski

I review the basic ideas behind lattice QCD calculations that involve charm and bottom quarks. I report on the progress in getting the correct hyperfine splitting in charmonium from lattice QCD. Some of the basic technology behind numerical…

High Energy Physics - Lattice · Physics 2017-08-23 Craig McNeile

We study the dependence on the charm quark mass of the leading-order low-energy constants of the $\Delta S=1$ effective Hamiltonian, with the aim of elucidating the role of the charm mass scale in the $\Delta I=1/2$ rule for $K\to\pi\pi$…

High Energy Physics - Lattice · Physics 2016-07-08 Eric Endress , Carlos Pena

The perturbatively calculable short distance QCD potential is known to two loops including the effect of massive quarks. Recently, a simple approximate solution in momentum space was utilized to obtain the potential in coordinate space. The…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles

We investigate the QCD phase diagram by using the strong-coupling expansion of the lattice QCD with one species of staggered fermion and the Polyakov loop effective action at finite temperature (T) and quark chemical potential (mu). We…

High Energy Physics - Lattice · Physics 2011-06-08 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

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

We calculate the charmonium correlators on the lattice with $n_f = 2+ 1$ Moebius domain wall fermion, and extract the charm quark mass and the strong coupling constant. Time moments are defined by current-current correlators, which have…

High Energy Physics - Lattice · Physics 2015-12-01 Katsumasa Nakayama , Brendan Fahy , Shoji Hashimoto

The electromagnetic coupling receives significant contributions to its running from non-perturbative QCD effects. We present an update of a lattice QCD study of the Adler function and of its application to the determination of the running…

High Energy Physics - Lattice · Physics 2015-11-17 Anthony Francis , Vera Gülpers , Gregorio Herdoíza , Hanno Horch , Benjamin Jäger , Harvey B. Meyer , Hartmut Wittig

We compute a theoretically driven prediction for the hadronic contribution to the electromagnetic running coupling at the $Z$ scale using lattice QCD and state-of-the-art perturbative QCD. We…

High Energy Physics - Phenomenology · Physics 2023-08-11 Jens Erler , Rodolfo Ferro-Hernandez

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles