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Recent developments in lattice QCD calculation of weak matrix elements involving light quarks are described. We focus on four topics: $B_K$ with the Kogut-Susskind and Wilson quark actions, $\Delta I=1/2$ rule, proton decay matrix elements…

High Energy Physics - Lattice · Physics 2015-06-25 Yoshinobu Kuramashi

We describe recent results concerning the behavior of lattice QCD with light dynamical Wilson and Staggered quarks. We show that it is possible to reach regions of parameter space with light pions $m_\pi\approx 0.2/a$ using Wilson fermions.…

High Energy Physics - Lattice · Physics 2016-08-31 Khalil Bitar , Robert G. Edwards , Urs M. Heller , A. D. Kennedy

We introduce an approach to expand gauge-invariant Wilson operators on lattice. This approach is based on non-abelian Stokes theorem and overcomes some shortage of some former methods. It is also suitable for expanding any Wilson operators…

High Energy Physics - Lattice · Physics 2014-11-17 Da Qing Liu , Ji Min Wu

In this paper, we work with 16 different single scalar particle extensions of the Standard Model. We present the sets of dimension-6 effective operators and the associated Wilson coefficients as functions of model parameters after…

High Energy Physics - Phenomenology · Physics 2023-01-16 Anisha , Supratim Das Bakshi , Shankha Banerjee , Anke Biekötter , Joydeep Chakrabortty , Sunando Kumar Patra , Michael Spannowsky

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

We present results of a lattice simulation of quantum chromodynamics with two degenerate flavors of dynamic Wilson fermions at $6/g^2=5.3$ at each of two dynamical fermion hopping parameters, $\kappa=0.1670$ and 0.1675, corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar

We study the gauge fixing of lattice QCD in 2+1 dimensions, in the Hamiltonian formulation. The technique easily generalizes to other theories and dimensions. The Hamiltonian is rewritten in terms of variables which are gauge invariant…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Bronzan , Timothy E. Vaughan

With Wilson quarks, on-shell O($a$) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare…

High Energy Physics - Lattice · Physics 2024-02-02 Mattia Dalla Brida , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Stefan Sint , Rainer Sommer

We present results of lattice QCD simulations with mass-degenerate up and down and mass-split strange and charm (N_f = 2+1+1) dynamical quarks using Wilson twisted mass fermions at maximal twist. The tuning of the strange and charm quark…

Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-$x$ calculations, calculations concerning validation of factorisation schemes and in…

High Energy Physics - Phenomenology · Physics 2015-02-03 Frederik F. Van der Veken

Flavor observables are usually computed with the help of the electroweak Hamiltonian which separates the short-distance from the long-distance regime. The Wilson coefficients are calculated perturbatively, while matrix elements of the…

High Energy Physics - Phenomenology · Physics 2023-02-22 Fabian Lange

We consider 2+1 flavor Wilson Chiral Perturbation Theory including the lattice spacing contributions of O($a^{2}$). We adopt a power counting appropriate for the unquenched lattice simulations carried out by the CP-PACS/JLQCD collaboration…

High Energy Physics - Lattice · Physics 2009-11-11 S. Aoki , O. Baer , T. Ishikawa , S. Takeda

The phase diagram for the compact lattice QED with Wilson fermions is shown. We discuss different methods for the calculation of the 'pion' mass $m_{\pi}$ near the chiral transition point $\kappa_c(\beta )$.

High Energy Physics - Lattice · Physics 2009-10-28 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker

I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant $\alpha(M_Z)$ and for the weak mixing parameter $\sin^2 \Theta_W(M_Z)$. Phenomenological…

High Energy Physics - Phenomenology · Physics 2017-11-17 Fred Jegerlehner

A first study of numerical Monte Carlo simulations with two quark doublets, a mass-degenerate one and a mass-split one, interpreted as u, d, s and c quarks, is carried out in the framework of the twisted mass Wilson lattice formulation.…

High Energy Physics - Lattice · Physics 2008-11-26 T. Chiarappa , F. Farchioni , K. Jansen , I. Montvay , E. E. Scholz , L. Scorzato , T. Sudmann , C. Urbach

Double-lepton polarization asymmetries in (Lambda_b -> Lambda l^+ l^-) decay are calculated using a general, model independent form of the effective Hamiltonian. The sensitivities of these asymmetries to the new Wilson coefficients are…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. M. Aliev , V. Bashiry , M. Savci

In this paper we generalize constructions of non-commutative integrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions on symplectic manifolds split…

Symplectic Geometry · Mathematics 2018-02-13 David Martínez Torres , Eva Miranda

We present the first realistic lattice QCD calculation of the $\gamma W$-box diagrams relevant for beta decays. The nonperturbative low-momentum integral of the $\gamma W$ loop is calculated using a lattice QCD simulation, complemented by…

High Energy Physics - Lattice · Physics 2020-05-20 Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Peng-Xiang Ma , Chien-Yeah Seng
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