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The standard numerical approach to determining matrix elements of local operators and width of resonances uses the finite volume dependence of energy levels and matrix elements. Finite size corrections that decay exponentially in the volume…

High Energy Physics - Theory · Physics 2015-05-30 G. Takacs

In order to interpret precise measurements of molecular properties the finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is shown that they can be obtained systematically in the perturbative…

Chemical Physics · Physics 2015-05-14 Krzysztof Pachucki

We evaluate the finite 1-loop threshold corrections, proportional to $tan\beta$, to the down quark mass matrix. These result in corrections to down quark masses and to Cabibbo-Kobayashi-Maskawa [CKM] matrix elements. The corrections to CKM…

High Energy Physics - Phenomenology · Physics 2010-11-01 Tomas Blazek , Stuart Raby , Stefan Pokorski

It is hoped that the accuracy of a variety of lattice calculations will be improved by perturbatively eliminating effects proportional to the lattice spacing. In this paper, we apply this improvement program to the heavy quark effective…

High Energy Physics - Phenomenology · Physics 2010-11-01 Oscar F. Hernandez , Brian R. Hill

We discuss the concepts and the framework of the renormalization procedure in regularization-invariant momentum subtraction schemes. These schemes are used in the context of lattice simulations for the determination of physical quantities…

High Energy Physics - Phenomenology · Physics 2009-10-20 Christian Sturm

The status of lattice calculations of heavy quark phenomenology is reviewed. Particular emphasis is placed on the understanding and control of the calculational uncertainties. The ensuing implications for constraining the CKM matrix…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sinead Ryan

The general structure of the $1/m$ corrections at zero recoil is studied. The relevant matrix elements are forward matrix elements of local higher dimensional operators and their time ordered products with higher order terms from the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas Mannel

The current status of lattice calculation of weak matrix elements for heavy quark systems is reviewed. After an assessment of systematic errors in present simulations, results for the B meson decay constant, the B-parameter B_B and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

We demonstrate that sea quark effects of a magnitude expected from renormalization group considerations are clearly visible in the strong coupling constant measured in current full QCD simulations. Building on this result an estimate of…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , H. Mino , M. Okawa , T. Onogi , A. Ukawa

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

The quark-lepton complementarity (QLC) is very suggestive in understanding possible relations between quark and lepton mixing matrices. We explore the QLC relations in all the possible angle-phase parametrizations and point out that they…

High Energy Physics - Phenomenology · Physics 2010-05-12 Ya-juan Zheng

I review recent progresses in heavy quarks physics on the lattice. I focus on decay constants and form factors relevant for the extraction of CKM matrix elements from experimental data. B-\bar{B} mixing is also discussed. In the last part…

High Energy Physics - Lattice · Physics 2009-01-06 Michele Della Morte

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Matthias Neubert

We determine the strangeness and light quark fractions of the nucleon mass by computing the quark line connected and disconnected contributions to the matrix elements m_q <N|qbar q|N> in lattice QCD, using the non-perturbatively improved…

We study finite quantum corrections for several well known neutrino mixing matrices and find that it is hard to account for the large value of \theta_13 recently reported by T2K and MINOS. To nicely reproduce all experimentally favored…

High Energy Physics - Phenomenology · Physics 2015-05-30 Takeshi Araki , Chao-Qiang Geng

We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the…

High Energy Physics - Lattice · Physics 2014-10-20 Walter Freeman , Andrei Alexandru , Mike Lujan , Frank X. Lee

We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method. A complete {\em a priori} error analysis for the case of…

Numerical Analysis · Mathematics 2020-11-06 Rubén Aylwin , Carlos Jerez-Hanckes

The scalar wave equation is solved using higher order immersed finite elements. We demonstrate that higher order convergence can be obtained. Small cuts with the background mesh are stabilized by adding penalty terms to the weak…

Numerical Analysis · Mathematics 2018-02-20 Simon Sticko , Gunilla Kreiss

We describe several algorithms for matrix completion and matrix approximation when only some of its entries are known. The approximation constraint can be any whose approximated solution is known for the full matrix. For low rank…

Numerical Analysis · Mathematics 2014-07-01 Gil Shabat , Yaniv Shmueli , Amir Averbuch

Sea quark contributions to the scalar density and the axial current matrix elements of the nucleon are studied in lattice qcd with two flavours of dynamical wilson fermions. the results are compared to trends in heavy quark mass expansions,…

High Energy Physics - Lattice · Physics 2010-11-01 Apoorva Patel