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We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ \beta = 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

We study the higher order corrections of quark masses to the Gell-Mann$-$Oakes$-$Renner (GOR) relation by constructing QCD sum rules exclusively for pseudoscalar mesons from the axial-vector correlation function, $i \int d^4x~ e^{ip\cdot x}…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hungchong Kim

In this talk I review several topics concerning the determination of quark masses by means of lattice QCD simulations, with particular focus on recently introduced techniques of non-perturbative renormalisation, the determination of heavy…

High Energy Physics - Lattice · Physics 2015-05-13 Francesco Sanfilippo

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…

Isospin symmetry breaking in the quark condensates, $< \bar dd> \not= < \bar uu>$, is a fundamental parameter in both the QCD sum rule studies and the chiral perturbation theory. In this article, we apply the QCD sum rule method to treat…

High Energy Physics - Phenomenology · Physics 2007-05-23 W-Y. P. Hwang , Kwei-Chou Yang

We review our results in\,\cite{ANR22} for the masses and couplings of $T_{ccqq'}\, (J^P=0^+)$ states from (inverse) QCD Laplace sum rule (LSR), their ratios ${\cal R}$ and double ratio of sum rules (DRSR) within stability criteria and…

High Energy Physics - Phenomenology · Physics 2022-12-21 R. M. Albuquerque , S. Narison , D. Rabetiarivony

A new determination of the strange-quark mass is discussed, based on the two-point function involving the axial-vector current divergences. This Green function is known in perturbative QCD up to order O(alpha_s^3), and up to dimension-six…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , L. Pirovano , K. Schilcher

We present the results of a partially quenched lattice QCD calculation of light quark masses with $N_f=2$ degenerate dynamical flavors. Numerical simulations are carried out using the plaquette gauge action and the Wilson quark action at…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , B. Blossier , Ph. Boucaud , V. Gimenez , V. Lubicz , F. Mescia , S. Simula , C. Tarantino

The decay constants of the charmed heavy pseudoscalar D and D_s mesons are revisited within a recently developed novel approach to dispersive QCD sum rules which relies on an unprejudiced implementation of quark-hadron duality. The proposed…

High Energy Physics - Phenomenology · Physics 2012-05-31 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Laplace transform QCD sum rules for two-point functions related to the strangeness-changing scalar and pseudoscalar Green's functions $\psi(Q^2)$ and $\psi_5(Q^2)$, are used to determine the subtraction constants $\psi(0)$ and $\psi_5(0)$,…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. A. Dominguez , A. Ramlakan , K. Schilcher

For a precise determination of the m_u and m_d quark masses, it is useful to combine isospin symmetric results of lattice or sum rules QCD techniques with some isospin breaking study performed in chiral perturbation theory (ChPT). The most…

High Energy Physics - Phenomenology · Physics 2012-01-23 Martin Zdrahal

We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction (${\rm \overline{MS}}$) and the regularization-invariant symmetric momentum-subtraction (${\rm…

High Energy Physics - Phenomenology · Physics 2020-05-08 Alexander Bednyakov , Andrey Pikelner

We present results for the light quark masses obtained from a lattice QCD simulation with N_f=2 degenerate Wilson dynamical quark flavours. The sea quark masses of our lattice, of spacing a ~ 0.06 fm, are relatively heavy, i.e., they cover…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , B. Blossier , Ph. Boucaud , V. Gimenez , V. Lubicz , F. Mescia , S. Simula , C. Tarantino

We apply QCD Finite Energy Sum Rules to the scalar-isoscalar current to determine the lightest $u \bar{u} + d \bar{d}$ meson in this channel. We use `pinch-weights' to improve the reliability of the QCD predictions and reduce the…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. N. Cherry , M. R. Pennington

The parameters in the pseudoscalar meson mass formula in quenched chiral perturbation theory to one-loop order are determined by quenched lattice QCD with overlap Dirac operator, and from which the light quark masses are determined with the…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

QCD sum rules are analytic predictions of hadron observables from quantum chromodynamics. In the so-called local-duality limit of their Borel-transformed form, all nonperturbative contributions are encompassed by just a single quantity, an…

High Energy Physics - Phenomenology · Physics 2017-09-08 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Exploiting recently proposed novel improvements of the techniques used for extracting from QCD sum rules pivotal hadron characteristics, including their systematic errors, we succeed to achieve a conspicuous agreement of the predictions of…

High Energy Physics - Phenomenology · Physics 2014-04-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We improve the determinations of the QCD condensates within the SVZ expansion in the axial-vector (A) channel using the ratio of Laplace sum rule (LSR) ${\cal R}_{10}^A(\tau)$ within stability criteria and $\tau$-like higher moments…

High Energy Physics - Phenomenology · Physics 2025-04-22 S. Narison

We present systematic and improved estimates of the masses and couplings of the $(0^-)$ and $(1^-)$ $T_{QQ\bar q\bar q'}$ states ($Q= c,b;q,q'= u,d,s$) using QCD Laplace sum rules (LSR) and their ratios R within $\tau$ and $t_c$-stabilities…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. Albuquerque , S. Narison , D. Rabetiarivony

We present a lattice determination of the charm quark's mass, using the mass of the D_s meson as experimental input. All errors are under control with the exception of the quenched approximation. Setting the scale with F_K=160 MeV, our…

High Energy Physics - Phenomenology · Physics 2009-11-07 Juri Rolf , Stefan Sint