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A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We present the corrections to the fermion propagator, to second order in the lattice spacing, O(a^2), in 1-loop perturbation theory. The fermions are described by the clover action and for the gluons we use a 3-parameter family of Symanzik…

High Energy Physics - Lattice · Physics 2009-04-14 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

We use the large N_f self consistency formalism to compute the $O(1/N_f)$ critical exponent corresponding to the renormalization of the flavour non-singlet twist two Wilson operators which arise in the operator product expansion of currents…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Gracey

Perturbative coefficients for Wilson loops and the static-quark self-energy are extracted from Monte Carlo simulations at weak coupling. The lattice volumes and couplings are chosen to ensure that the lattice momenta are all perturbative.…

High Energy Physics - Lattice · Physics 2009-11-07 H. D. Trottier , N. H. Shakespeare , G. P. Lepage , P. B. Mackenzie

We report the progress on the lattice QCD calculation of the glue spin contribution to proton spin. This calculation is carried out with valence overlap fermion on 2+1 flavor DWF gauge configurations at two lattice spacings with the…

High Energy Physics - Phenomenology · Physics 2016-03-24 Yi-Bo Yang , Raza Sabbir Sufian , Andrei Alexandru , Terrence Draper , Michael J. Glatzmaier , Keh-Fei Liu

We present an application of the standard Langevin dynamics to the problem of weak coupling perturbative expansions for Lattice QCD. This method can be applied to the computation of the most general observables. In this preliminary work we…

High Energy Physics - Lattice · Physics 2009-09-25 Francesco Di Renzo , Giuseppe Marchesini , Paolo Marenzoni , Enrico Onofri

We present an update on Numerical Stochastic Perturbation Theory projects for Lattice QCD, which are by now run on apeNEXT. As a first issue, we discuss a strategy to tackle finite size effects which can be quite sizeable in the computation…

High Energy Physics - Lattice · Physics 2009-04-14 Francesco Di Renzo , Luigi Scorzato , Christian Torrero

We estimate the sensitivity of Wilson coefficients of the lepton flavor-violating dimension-six operators at the proposed $\mu^+\mu^-$ collider. We compute the signal significance at $\sqrt{s}$ = 3 and 10 TeV, respectively, with an…

High Energy Physics - Phenomenology · Physics 2025-01-28 Sukanta Dutta , Purnath Unnikrishnan , Yashasvi

We perform a nonperturbative determination of the $O(a)$-improvement coefficient $c_{\rm SW}$ and the critical hopping parameter $\kappa_c$ for $N_f$=3, 2, 0 flavor QCD with the RG-improved gauge action using the Schr\"odinger functional…

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We apply chiral perturbation theory to the pseudoscalar meson mass and decay constant data obtained in the PACS-CS Project toward 2+1 flavor lattice QCD simulations with the O(a)-improved Wilson quarks. We examine the existence of chiral…

Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pad\'e approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau…

High Energy Physics - Lattice · Physics 2021-01-04 Alexandre F. Falcão , Orlando Oliveira , Paulo J. Silva

We present a lattice calculation of the renormalized running coupling constant in symmetric (MOM) and asymmetric ($\widetilde{\rm MOM}$) momentum substraction schemes including $u$, $d$, $s$ and $c$ quarks in the sea. An Operator Product…

High Energy Physics - Phenomenology · Physics 2015-06-17 Ph. Boucaud , M. Brinet , F. De Soto , V. Morenas , O. Pène , K. Petrov , J. Rodríguez-Quintero

We calculate the $O(\alpha_s^2)$ gluonic operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the linear…

High Energy Physics - Phenomenology · Physics 2009-11-19 I. Bierenbaum , J. Blümlein , S. Klein

Because of the infrared renormalons, it is difficult to get power accuracy in the traditional approach to the Wilson's operator product expansion. Based on a new perturbative renormalization scheme for power-divergent operators, I propose a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

We review recent results for the chiral behavior of meson masses and decay constants and the determination of the light quark masses by the RBC and UKQCD collaborations. We find that one-loop SU(2) chiral perturbation theory represents the…

High Energy Physics - Lattice · Physics 2010-01-21 Enno E. Scholz

We report on a study of the analytical structure of the Landau gauge gluon, ghost and quark propagators taken from lattice simulations using large physical volumes, to better access the IR region, and large gauge ensembles to reduce the…

High Energy Physics - Lattice · Physics 2021-11-09 Orlando Oliveira , Alexandre F. Falcão , Paulo J. Silva

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…

The product of the gluon dressing function and the square of the ghost dressing function in the Landau gauge can be regarded to represent, apart from the inverse power corrections 1/Q^{2n}, a nonperturbative generalization A(Q^2) of the…

High Energy Physics - Phenomenology · Physics 2019-04-02 Cesar Ayala , Gorazd Cvetic , Reinhart Kogerler , Igor Kondrashuk

We present results for the isoscalar electromagnetic form factors of the nucleon computed on the Coordinated Lattice Simulations (CLS) ensembles with $N_\mathrm{f} = 2 + 1$ flavors of $\mathcal{O}(a)$-improved Wilson fermions and an…

High Energy Physics - Lattice · Physics 2022-09-21 Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Miguel Salg , Jonas Wilhelm , Hartmut Wittig