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I present a new improved estimator for the correlation function of 2D nonlinear sigma models. Numerical tests for the 2D XY model and the 2D O(3)-invariant vector model were performed. For small physical volume, i.e. a lattice size small…

High Energy Physics - Lattice · Physics 2010-12-01 Martin Hasenbusch

We show that the perturbatively-improved gluon action for QCD, once it is tadpole-improved, gives accurate results even with lattice spacings as large as 0.4~fm. {\em No\/} tuning of the couplings is required. Using this action and lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Alford , W. Dimm , G. Hockney , P. Lepage , P. Mackenzie

We check quantitatively the validity of some popular phenomenological approaches of QCD in simple models. Dispersion sum rules are considered within the ladder approximation of a field-theoretic model with OPE given by ordinary loop…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. A. Penin , A. A. Pivovarov

Euclidean-time hadron correlation functions computed in Lattice QCD (LQCD) are modeled by a sum of decaying exponentials, reminiscent of the exponentially damped sinusoid models of free induction decay (FID) in Nuclear Magnetic Resonance…

High Energy Physics - Lattice · Physics 2007-05-23 George T. Fleming

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

High Energy Physics - Lattice · Physics 2016-09-01 A. Duncan , S. Pernice , J. Yoo

There exists a significant deviation between the most recent Lattice QCD simulation and experimental measurement by Belle for $\Xi_{c}^{0}\to\Xi^{-}\ell^{+}\nu_{\ell}$. In this work, we investigate the $\Xi_{c}\to\Xi$ form factors in QCD…

High Energy Physics - Phenomenology · Physics 2023-12-05 Zhen-Xing Zhao , Xiao-Yu Sun , Fu-Wei Zhang , Yi-Peng Xing , Ya-Ting Yang

We have computed the form factors for B --> pi and D --> K(pi) semileptonic decays on the lattice by using full non-perturbative O(a) improvement, in the quenched approximation. Our results are expressed in terms of few parameters which…

High Energy Physics - Lattice · Physics 2019-08-17 A. Abada , D. Becirevic , Ph. Boucaud , J. P. Leroy , V. Lubicz , F. Mescia

We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically…

High Energy Physics - Lattice · Physics 2025-06-25 Debsubhra Chakraborty , Dhruv Sood , Archana Radhakrishnan , Nilmani Mathur

An overview of the Lattice technique for studies of the strong interaction is given. Recent results from the UKQCD lattice collaboration are presented. These concentrate on spectral quantities calculated using full (i.e. unquenched) QCD. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chris Allton

Lattice results, kinematical constraints and QCD dispersion relations are combined for the first time to derive model-independent bounds for QCD form factors and corresponding rates. To take into account the error bars on the lattice…

High Energy Physics - Phenomenology · Physics 2011-05-05 Laurent Lellouch

Theoretical and computational advances in lattice calculations are reviewed, with focus on examples relevant to the unitarity triangle of the CKM matrix. Recent progress in semi-leptonic form factors for B -> pi l nu and B -> D* l nu, as…

High Energy Physics - Phenomenology · Physics 2010-11-23 Andreas S. Kronfeld

In this work we calculate the renormalization of counterterms which arise in the lattice action of $N = 1$ Supersymmetric QCD (SQCD). In particular, the fine-tunings for quartic couplings are studied in detail through both continuum and…

High Energy Physics - Lattice · Physics 2024-09-17 Marios Costa , Herodotos Herodotou , Haralambos Panagopoulos

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

High Energy Physics - Lattice · Physics 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

We present a promising method to learn physical parameters from a bayesian inference, using modern tools to replace both our traditional fits and the way errors are computed and propagated. A few models are built as illustrations for a…

High Energy Physics - Lattice · Physics 2023-02-14 Julien Frison

We analyze high-temperature series expansions of the two-point and four-point correlation-functions in the three-dimensional euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through…

High Energy Physics - Lattice · Physics 2009-11-11 P. Butera , M. Comi

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

In previous work Phys. Rev. D 107, 074507 (2023), we showed that form factors for radiative leptonic decays of pseudoscalar mesons can be determined efficiently and with high precision from lattice QCD using the ``3d method,'' in which…

High Energy Physics - Lattice · Physics 2025-09-23 Davide Giusti , Christopher F. Kane , Christoph Lehner , Stefan Meinel , Amarjit Soni

Lattice QCD has reached a mature status. State of the art lattice computations include $u,d,s$ (and even the $c$) sea quark effects, together with an estimate of electromagnetic and isospin breaking corrections for hadronic observables.…

High Energy Physics - Lattice · Physics 2021-06-30 Luigi Del Debbio , Alberto Ramos

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

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