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We review our perturbative techniques for improved heavy quark actions. A new procedure for computing improvement coefficients is suggested, where the continuum limit of a lattice-regularized theory provides the matching conditions.We also…

高能物理 - 格点 · 物理学 2009-11-10 Matthew Nobes , Howard Trottier

In this article we prove convergence of adaptive finite element methods for second order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under…

数值分析 · 数学 2008-03-05 Eduardo M. Garau , Pedro Morin , Carlos Zuppa

We calculate finite mass corrections to leptonic decay constants in HQET using QCD sum rules. The results are given to two--loop accuracy including renormalization group analysis. The contribution of unknown two--loop anomalous dimension…

高能物理 - 唯象学 · 物理学 2009-10-22 P. Ball

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

最优化与控制 · 数学 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

In this paper, we propose some new semidefinite relaxations for a class of nonconvex complex quadratic programming problems, which widely appear in the areas of signal processing and power system. By deriving new valid constraints to the…

最优化与控制 · 数学 2023-05-18 Yingzhe Xu , Cheng Lu , Zhibin Deng , Ya-Feng Liu

Finite elements of higher continuity, say conforming in $H^2$ instead of $H^1$, require a mapping from reference cells to mesh cells which is continuously differentiable across cell interfaces. In this article, we propose an algorithm to…

数值分析 · 数学 2020-11-17 Daniel Arndt , Guido Kanschat

We study the fluctuations of the diagonal matrix elements of the quantum cat map about their limit. We show that after suitable normalization, the fifth centered moment for the Hecke basis vanishes in the semiclassical limit, confirming in…

数论 · 数学 2009-09-09 Lior Rosenzweig

The matrix element technique provides a superior statistical sensitivity for precision measurements of important parameters at hadron colliders, such as the mass of the top quark or the cross section for the production of Higgs bosons. The…

高能物理 - 实验 · 物理学 2014-11-20 Oleg Brandt , Gaston Gutierrez , Michael H. L. S. Wang , Zhenyu Ye

Status report is made of our quenched study of heavy-light matrix elements employing the Wilson quark action for heavy quark. Results obtained up to now with 200 configurations at $\beta=6.1$ on a $24^3\times64$ lattice and with 100…

高能物理 - 格点 · 物理学 2012-08-27 JLQCD Collaboration

The status of lattice calculations of some phenomenology of heavy quarks is presented. Emphasis is on progress made in calculating those quantities relevant to estimating parameters of the quark mixing matrix, namely leptonic decay…

高能物理 - 格点 · 物理学 2008-11-26 Terrence Draper

The precision of lattice QCD computations of many quantities has reached such a precision that isospin-breaking corrections, including electromagnetism, must be included if further progress is to be made in extracting fundamental…

In this work, we discuss two modifications that can be made to a known variational quantum singular value decomposition algorithm popular in the literature. The first is a change to the objective function which hints at improved performance…

量子物理 · 物理学 2024-12-05 Jezer Jojo , Ankit Khandelwal , M Girish Chandra

Recent lattice studies of hadron properties, in particular of exotic states and charmonia are reviewed. Sea quark and quark mass effects are discussed as well as decays and mixing.

高能物理 - 格点 · 物理学 2015-06-25 Gunnar S. Bali

The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding, etc. As this problem is NP-hard in general, its convex relaxation, the nuclear norm minimization…

最优化与控制 · 数学 2011-01-04 Donald Goldfarb , Shiqian Ma

Recently, a framework was developed for studying form factors of two-body states probed with an external current. Finite volume matrix elements that may be computed via lattice QCD are converted to infinite volume generalized form factors.…

高能物理 - 格点 · 物理学 2019-10-03 Andrew W. Jackura

We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollification). We show that the energy error decay is…

数值分析 · 数学 2022-07-26 Luca Heltai , Wenyu Lei

A general discussion of the Cabibbo-Kobayashi-Maskawa (CKM) matrix is given and the importance stressed of determining the matrix elements as an essential part of understanding CP violation in and beyond the Standard Model. The status of…

高能物理 - 唯象学 · 物理学 2009-11-07 Frederick J. Gilman

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…

高能物理 - 格点 · 物理学 2015-06-25 Yoshinobu Kuramashi

This contribution compiles the benefits of lattice symmetry in the context of closed orbit correction. A symmetric arrangement of BPMs and correctors results in structured orbit response matrices of Circulant or block Circulant type. These…

加速器物理 · 物理学 2019-07-31 Sajjad Hussain Mirza , Rahul Singh , Peter Forck , Harald Klingbeil

The $U_L(3)\times U_R(3)$ Linear Sigma Model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between…

高能物理 - 唯象学 · 物理学 2007-05-23 Brigitte Hiller , A. L. Mota , M. C. Nemes , Alexander A. Osipov , Marcos Sampaio
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