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We propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass…

High Energy Physics - Lattice · Physics 2018-04-25 Mattia Bruno , Christoph Lehner , Amarjit Soni

Hamiltonian lattice QCD with Wilson fermions is investigated systematically by strong-coupling expansion up to the second order. The effective Hamiltonian is diagonalized by Bogoliubov transformation. The vacuum energy, chiral condensate,…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

We present here our results on extracting Wilson coefficients from different quantities such as ghost and gluon propagators which are calculated by means of Lattice QCD. The results confirm the validity of our method for the calculation of…

These lectures describe in detail the effective Hamiltonians for weak decays of mesons constructed by means of the operator product expansion and the renormalization group method. We calculate Wilson coeffcients of local operators, discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej J. Buras

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

In the low energy effective theory describing the partially quenched extension of two light Wilson fermions, three low energy constants (LECs) appear in terms proportional to a^2 (a being the lattice spacing). We propose methods to…

High Energy Physics - Lattice · Physics 2013-05-30 Maxwell T. Hansen , Stephen R. Sharpe

The standard theoretical framework to deal with weak decays of heavy mesons is the so-called weak effective Hamiltonian. It involves the short-distance Wilson coefficients, which depend on the renormalisation scale $\mu$. For specific…

High Energy Physics - Phenomenology · Physics 2016-09-21 Stefan de Boer , Bastian Müller , Dirk Seidel

The effective electroweak Hamiltonian in the gradient-flow formalism is constructed for the current-current operators through next-to-next-to-leading order QCD. The results are presented for two common choices of the operator basis. This…

High Energy Physics - Lattice · Physics 2023-03-14 Robert V. Harlander , Fabian Lange

In this paper we present a calculation of the $\Delta S=1$ effective weak Hamiltonian including next-to-leading order QCD and QED corrections. At a scale $\mu$ of the order of few GeV, the Wilson coefficients of the operators are given in…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

We present a performance comparison of the Kramers equation and the boson algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. Results are obtained on $6^312$, $8^312$ and $16^4$ lattices.…

High Energy Physics - Lattice · Physics 2009-10-28 Karl Jansen , Beat Jegerlehner , Chuan Liu

I report on first results of the ETMC obtained simulating lattice QCD with two degenerate flavours of Wilson twisted mass fermions, for which physical observables are automatically O(a) improved. Recent improvements of the HMC algorithm…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Shindler , ETM Collaboration

We discuss a general strategy to compute the coefficients of QCD chiral Lagrangian by using the lattice regularization of QCD with Wilson fermions. This procedure requires the introduction of an effective Lagrangian for lattice QCD as an…

High Energy Physics - Lattice · Physics 2009-10-28 A. R. Levi , V. Lubicz , C. Rebbi

We present first results for Wilson coefficients of operators up to first order in the covariant derivatives for the case of Wilson fermions. They are derived from the off-shell Compton scattering amplitude $\mathcal{W}_{\mu\nu}(a,p,q)$ of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which…

Probability · Mathematics 2020-12-02 Sky Cao

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

We present a formula for reducing the rank of Wilson fermions from $4 N_c N_x N_y N_z N_t$ to $4 N_c N_x N_y N_z$ keeping the value of its determinant. We analyse eigenvalues of a reduced matrix and coefficients $C_n$ in the fugacity…

High Energy Physics - Lattice · Physics 2010-12-23 Keitaro Nagata , Atsushi Nakamura

We formulate SU(3) Hamiltonian lattice QCD in terms of the plaquette variables and determine the relevant subspaces of the Hilbert space for the vacuum wave functional and its approximations. We analyze the one- and two-plaquette problems.

High Energy Physics - Lattice · Physics 2007-05-23 N. E. Ligterink

By employing a twisted mass term, we compare recent results from lattice calculations of Nf=2 dynamical Wilson fermions with Wilson Chiral Perturbation Theory (WChPT). The final goal is to determine some combinations of Gasser-Leutwyler Low…

High Energy Physics - Lattice · Physics 2010-12-23 L. Scorzato , F. Farchioni , P. Hofmann , K. Jansen , I. Montvay , G. Munster , M. Papinutto , E. E. Scholz , A. Shindler , N. Ukita , C. Urbach , U. Wenger , I. Wetzorke

We present simulation details and results for the light hadron spectrum in N f = 2 + 1 lattice QCD with the nonperturbatively O(a)-improved Wilson quark action and the Iwasaki gauge action. Simulations are carried out at a lattice spacing…

We present a lattice QCD calculation of the low energy constants of the leading order chiral Lagrangian. In these simulations the epsilon regime is reached by using tree-level improved nHYP Wilson fermions combined with reweighting in the…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann , Stefan Schaefer
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