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High-precision calculations of hadron spectroscopy are a crucial task for Lattice QCD. State-of-the-art techniques are needed to disentangle the contributions from different energy states, such as solving the generalized eigenvalue problem…

高能物理 - 格点 · 物理学 2011-02-01 Tereza Mendes

We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge…

高能物理 - 格点 · 物理学 2009-04-30 Benoit Blossier , Michele Della Morte , Georg von Hippel , Tereza Mendes , Rainer Sommer

In a recent letter [Phys. Rev. Lett. 108, 172003 (2012), arXiv:1109.2480] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings $g_1$, $g_2$, and $g_3$. These quantities are low-energy constants of heavy-hadron…

高能物理 - 格点 · 物理学 2012-06-19 William Detmold , C. -J. David Lin , Stefan Meinel

The Generalized Eigenvalue Problem (GEVP) has been used extensively in the past in order to reliably extract energy levels from time-dependent Euclidean correlators calculated in Lattice QCD. We propose a formulation of the GEVP in…

高能物理 - 格点 · 物理学 2016-11-09 Tim Harris , Harvey B. Meyer , Daniel Robaina

We present a first $N_{\rm f}=2$ lattice estimate of the hadronic coupling $g_{12}$ which parametrizes the strong decay of a radially excited $B^*$ meson into the ground state $B$ meson at zero recoil. We work in the static limit of Heavy…

高能物理 - 格点 · 物理学 2013-12-13 Benoit Blossier , Antoine Gérardin , John Bulava , Michael Donnellan

We present a first Nf=2 lattice estimate of the hadronic coupling g_12 which parametrises the strong decay of a radially excited B* meson into the ground state B meson at zero recoil. We work in the static limit of Heavy Quark Effective…

高能物理 - 格点 · 物理学 2013-07-29 Benoît Blossier , John Bulava , Michael Donnellan , Antoine Gérardin

We explain how masses and matrix elements can be computed in lattice QCD using Schr"odinger functional boundary conditions. Numerical results in the quenched approximation demonstrate that good precision can be achieved. For a statistical…

高能物理 - 格点 · 物理学 2015-06-25 Marco Guagnelli , Jochen Heitger , Rainer Sommer , Hartmut Wittig

The precision with which hadronic vacuum polarization (HVP) is obtained determines how accurately important observables, such as the muon anomalous magnetic moment, a_\mu, or the low-energy running of the electromagnetic coupling, \alpha,…

We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for $1\to2$ transition matrix elements in a finite…

An accurate calculation of the leading-order hadronic vacuum polarisation (LOHVP) contribution to the anomalous magnetic moment of the muon ($a_\mu$) is key to determining whether a discrepancy, suggesting new physics, exists between the…

高能物理 - 格点 · 物理学 2025-02-04 C. T. H. Davies , A. S. Kronfeld , G. P. Lepage , C. McNeile , R. S. Van de Water

We analyze the systematic errors made when using the generalized eigenvalue problem to extract energies and matrix elements in lattice gauge theory. Effective theories such as HQET are also discussed. Numerical results are shown for the…

高能物理 - 格点 · 物理学 2010-01-21 B. Blossier , G. von Hippel , T. Mendes , R. Sommer , M. Della Morte

The study of excited hadron spectra using Lattice QCD is currently evolving. An important step toward obtaining resonance parameters from Lattice QCD is the calculation of finite volume energy spectra. Somewhat more rigorous studies of…

高能物理 - 格点 · 物理学 2011-12-07 John Bulava

Using Heavy Quark Effective Theory with non-perturbatively determined parameters in a quenched lattice calculation, we evaluate the splittings between the ground state and the first two radially excited states of the $B_s$ system at static…

With the ongoing experimental interest in exploring the excited hadron spectrum, evaluations of the matrix elements describing the formation and decay of such states via radiative processes provide us with an important connection between…

高能物理 - 格点 · 物理学 2015-09-02 Benjamin J. Owen , Waseem Kamleh , Derek B. Leinweber , M. Selim Mahbub , Benjamin J. Menadue

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final…

高能物理 - 格点 · 物理学 2008-11-26 G. M. de Divitiis , R. Petronzio , N. Tantalo

Hadronic matrix elements of operators relevant to nucleon decay in grand unified theories are calculated numerically using lattice QCD. In this context, the domain-wall fermion formulation, combined with non-perturbative renormalization, is…

高能物理 - 格点 · 物理学 2008-11-26 Y. Aoki , C. Dawson , J. Noaki , A. Soni

A simple approximate relationship between the ground-state eigenvector and the sum of matrix elements in each row has been established for real symmetric matrices with non-positive off-diagonal elements. Specifically, the $i$-th components…

介观与纳米尺度物理 · 物理学 2020-11-06 Wei Pan , Jing Wang , Deyan Sun

The Standard Model prediction of the muon $g-2$ increasingly depends on lattice QCD computations of the hadronic vacuum polarization (HVP), where the isospin-breaking (IB) effects remain a significant source of uncertainty. To complement…

高能物理 - 唯象学 · 物理学 2026-05-07 Volodymyr Biloshytskyi , Dominik Erb , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa

Numerical evaluation of the path integral for QCD on a discrete space-time lattice has been used to calculate ground state matrix elements specifying moments of quark density and spin distributions. This talk will explain how these matrix…

高能物理 - 格点 · 物理学 2008-11-26 J. W. Negele
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