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We report on progress to renormalize non-pertubatively the static heavy quark theory on the lattice. In particular, we present first results for position-space renormalization scheme for heavy-light bilinears. We test our approach on RBC's…

高能物理 - 格点 · 物理学 2015-12-02 Piotr Korcyl , Christoph Lehner , Tomomi Ishikawa

Heavy-light decays such as $B \to \pi \ell \nu$, $B \to K^{*} \gamma$ and $B \to K^{(*)} \ell \ell$ can be used to constrain the parameters of the Standard Model and in indirect searches for new physics. While the precision of experimental…

高能物理 - 格点 · 物理学 2015-03-17 E. H. Müller , A. Hart , R. R. Horgan

We present preliminary results from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. This talk focuses on the $Q^2$ behavior of the form-factors, extrapolation in quark masses, dependence on…

高能物理 - 格点 · 物理学 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta

The Non-Linear Sigma Model (NLSM) is an example of a field theory on a target space exhibiting intricate geometry. One remarkable characteristic of the NLSM is asymptotic freedom, which triggers interest in perturbative calculations. In the…

高能物理 - 格点 · 物理学 2024-12-04 Paolo Baglioni , Francesco Di Renzo

Using methods of numerical Lattice Gauge Theory we show that in the limit of a large number of colors, properly regularized Wilson loops have an eigenvalue distribution which changes non-analytically as the overall size of the loop is…

高能物理 - 格点 · 物理学 2013-05-30 R. Lohmayer , H. Neuberger

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

高能物理 - 格点 · 物理学 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation…

高能物理 - 格点 · 物理学 2015-06-25 H. Panagopoulos , E. Vicari

We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover…

高能物理 - 格点 · 物理学 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the…

高能物理 - 格点 · 物理学 2010-11-01 G. P. Lepage , L. Magnea , C. Nakhleh , U. Magnea , K. Hornbostel

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without…

高能物理 - 格点 · 物理学 2009-11-10 M. Guagnelli , J. Heitger , F. Palombi , C. Pena , A. Vladikas

We determine from first principles the quark mass anomalous dimension in Nf=3 QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the…

高能物理 - 格点 · 物理学 2018-06-07 Isabel Campos , Patrick Fritzsch , Carlos Pena , David Preti , Alberto Ramos , Anastassios Vladikas

We study the large-N volume reduction of QCD with adjoint quarks regularized on the lattice. Specifically, we use Wilson fermions, and while our d-dimensional lattice has (d-1) infinite dimensions, the remaining direction is reduced to a…

高能物理 - 格点 · 物理学 2009-07-24 Barak Bringoltz

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy…

高能物理 - 格点 · 物理学 2023-01-25 Leonardo Chimirri

We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schr\"odinger functional and can be generalized to other finite (ratios of)…

高能物理 - 格点 · 物理学 2019-01-16 Mattia Dalla Brida , Tomasz Korzec , Stefan Sint , Pol Vilaseca

We study a systematic improvement of perturbation theory for gauge fields on the lattice; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed…

高能物理 - 格点 · 物理学 2009-11-11 M. Constantinou , H. Panagopoulos , A. Skouroupathis

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

高能物理 - 唯象学 · 物理学 2025-10-09 Thomas DeGrand , Ethan T. Neil

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

高能物理 - 格点 · 物理学 2009-11-07 B. Joo , I. Horvath , K. F. Liu

The QCD phase diagram at finite temperature and density is a topic of considerable interest. Although much progress has been made in recent years, some open questions remain. Even at zero density, the order of the transition for two light…

高能物理 - 格点 · 物理学 2008-11-26 Bertram Klein , Jens Braun

We investigate the nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

高能物理 - 格点 · 物理学 2008-11-26 M. Gockeler , R. Horsley , H. Oelrich , H. Perlt , D. Petters , P. E. L. Rakow , A. Schafer , G. Schierholz , A. Schiller

We present one-loop perturbative results of the renormalization functions for a complete set of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line, using a family of improved lattice actions. This study is…

高能物理 - 格点 · 物理学 2023-12-01 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos