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In Ref [1] we have presented the results of an exploratory lattice QCD computation of the long-distance contribution to the $K^+\to\pi^+\nu\bar{\nu}$ decay amplitude. In the present paper we describe the details of this calculation, which…

High Energy Physics - Lattice · Physics 2018-10-24 Ziyuan Bai , Norman H. Christ , Xu Feng , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

We determine the light quark masses from lattice QCD simulations incorporating the electromagnetic interaction of valence quarks. The meson masses are calculated on lattice QCD configurations generated by the RBC Collaboration for two…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Blum , Takumi Doi , Masashi Hayakawa , Taku Izubuchi , Norikazu Yamada

Quarkonia -- mesons made of a heavy quark and anti-quark -- have been extensively studied experimentally. Theoretical calculations of quarkonia based on lattice QCD are possible with control over the systematic errors. The comparison with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aida X. El-Khadra

It is shown that in the large Nc limit heavy baryon masses can be estimated quantitatively in a 1/Nc expansion using the Hartree approximation. The results are compared with available lattice calculations for different values of the ratio…

High Energy Physics - Phenomenology · Physics 2015-10-28 C. Albertus , E. Ruiz Arriola , I. P. Fernando , J. L. Goity

We present our first results on a direct computation of the complex in-medium heavy quark potential from realistic lattice QCD simulations. Ensembles with $N_\tau=12$ from the HotQCD and TUMQCD collaboration offer unprecedented high…

High Energy Physics - Lattice · Physics 2019-02-20 Peter Petreczky , Alexander Rothkopf , Johannes Weber

We investigate the $O(a)$ improved quark action on anisotropic lattice as a potential framework for the heavy quark, which may enable precision computation of hadronic matrix elements of heavy-light mesons. The relativity relations of…

High Energy Physics - Lattice · Physics 2009-11-07 Junpei Harada , Hideo Matsufuru , Tetsuya Onogi , Ayumu Sugita

I discuss the results of a new calculation of the charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD. The work has been done by the APE group at the ``Tor Vergata'' University making use of…

High Energy Physics - Lattice · Physics 2009-11-10 Nazario Tantalo

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

We provide a formulation of potential non-relativistic quantum chromodynamics (pNRQCD) suitable for calculating binding energies and matrix elements of generic hadron and multi-hadron states made of heavy quarks in $SU(N_c)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2023-11-06 Benoît Assi , Michael L. Wagman

Preliminary results on spectrum and decay constant of $B$ mesons from a quenched simulation at $\beta = 6.0$ on an $16^3\times48$ lattice are discussed. The heavy quark has been implemented using both an NRQCD and the static formulation,…

High Energy Physics - Lattice · Physics 2015-06-25 A. Ali Khan , S. Collins , C. T. H. Davies , D. Henty , J. Shigemitsu , J. Sloan

We investigate the masses of the light quarks with lattice QCD. We show that most of the large dependence on the lattice spacing, a, observed in previous determinations using Wilson fermions is removed with the use of an O(a) corrected…

We present a lattice investigation, partially including the effects of dynamical quarks, of the heavy-light mesons using NRQCD for the heavy quark and the Wilson action for the light quark. We performed an extensive calculation of the…

High Energy Physics - Lattice · Physics 2010-01-18 S. Collins , U. M. Heller , J. Sloan , J. Shigemitsu , A. Ali Khan , C. Davies

We present results of a numerical calculation of lattice QCD with two degenerate flavors of dynamical quarks, identified with up and down quarks, and with a strange quark treated in the quenched approximation. The lattice action and…

The current status of lattice calculation of weak matrix elements for heavy quark systems is reviewed. After an assessment of systematic errors in present simulations, results for the B meson decay constant, the B-parameter B_B and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

We obtain new estimates for the parameters $\lambda_{E}^2$, $\lambda_H^2$ and their ratio $\mathcal{R} = \lambda_{E}^2/\lambda_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the…

High Energy Physics - Phenomenology · Physics 2021-08-11 Muslem Rahimi , Marcel Wald

Calculations of the heavy-heavy spectrum present a good opportunity for precision tests of QCD using lattice techniques. All methods make use of a non-relativistic expansion of the action and its systematic improvement to remove lattice…

High Energy Physics - Lattice · Physics 2009-10-22 C. T. H. Davies

We perform a quark model calculation of the $b\bar{b}$ and $c\bar{c}$ spectra from a screened funnel potential form suggested by unquenched lattice calculations. A connection between the lattice screening parameter and an effective gluon…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Gonzalez , A. Valcarce , H. Garcilazo , J. Vijande

The masses of spin-singlet and spin-triplet S-wave mesons containing a single heavy quark are computed in the quenched approximation. The light quark action and gauge field action are both classically-improved and tadpole-improved, and the…

High Energy Physics - Lattice · Physics 2014-11-17 Randy Lewis , R. M. Woloshyn

We report a first, complete lattice QCD calculation of the long-distance contribution to the $K^+\to\pi^+\nu\bar{\nu}$ decay within the standard model. This is a second-order weak process involving two four-Fermi operators that is highly…

High Energy Physics - Lattice · Physics 2017-06-28 Ziyuan Bai , Norman H. Christ , Xu Feng , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

The matrix element of the kinetic energy operator between B meson states is computed by means of a QCD relativistic potential model, with the result: $\mu_\pi^2=0.66 GeV^2$. A comparison with the outcome of other theoretical approaches and…

High Energy Physics - Phenomenology · Physics 2011-01-25 F. De Fazio