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Related papers: Calculating $\epsilon'/\epsilon$ using HYP stagger…

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We present initial results for light hadron masses and nucleon structure functions using a recent proposal for eliminating all $O(a)$ effects from Wilson fermion simulations in the quenched approximation. With initially limited statistics,…

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

The goal of this note is to show that continuous functions may be approximated using scattered translates of the Poisson kernel.

Functional Analysis · Mathematics 2025-09-15 Jeff Ledford

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard

We report on results from three spectrum calculations with staggered quarks: 1) a quenched calculation with the standard action for the gluons and quarks; 2) a quenched calculation with improved actions for both the gluons and quarks; and…

We study the quenched chiral behavior of hadrons with the pseudoscalar mass as low as $\approx 280$ MeV. We look for quenched chiral logs in the pion mass, determine the renormalized quark mass, and observe quenched artifacts in the $a_0$…

High Energy Physics - Lattice · Physics 2008-11-26 Shao-Jing Dong , Terrence Draper , Ivan Horvath , Frank Lee , Jianbo Zhang

In a recent contribution [Phys. Rev. B 81, 165104 (2010)] fermionic Projected Entangled-Pair States (PEPS) were used to approximate the ground state of free and interacting spinless fermion models, as well as the $t$-$J$ model. This paper…

Strongly Correlated Electrons · Physics 2011-02-10 Philippe Corboz , Jacob Jordan , Guifre Vidal

In our subgroup, we focused on penguin physics from various different angles. Our discussions included: (1) A method to extract one of the angles of the unitarity triangle $\phi_2$; (2) Methods to extract $\phi_3$ from $B\to K\pi$ decays;…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. I. Sanda

We introduce a hull operator on Poisson point processes, the easiest example being the convex hull of the support of a point process in Euclidean space. Assuming that the intensity measure of the process is known on the set generated by the…

Probability · Mathematics 2024-02-02 Günter Last , Ilya Molchanov

We complete the calculation of the QCD penguin amplitude at next-to-next-to-leading order in the QCD factorization approach to non-leptonic B-meson decays. This provides the last missing piece in the computation of the QCD correction to…

High Energy Physics - Phenomenology · Physics 2020-05-20 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

Recent developments regarding index and overlap construction for staggered fermions are reviewed, highlighting the surprising and unexpected aspects.

High Energy Physics - Lattice · Physics 2011-04-01 David H. Adams

The standard model contribution to $\epsilon'/\epsilon$ of the magnetic- and electric-dipole penguin operators $Q_{11} = \frac{g_s}{16\pi^2} \, m_s \: \bar{s}\, \sigma_{\mu\nu} t^a G^{\mu\nu}_a (1-\gamma_5 )\, d $ and $Q_{12} =…

High Energy Physics - Phenomenology · Physics 2010-11-01 S. Bertolini , M. Fabbrichesi , E. Gabrielli

We compute pseudoscalar meson masses and decay constants using staggered quarks on lattices with three flavors of sea quarks and lattice spacings $\approx 0.12$ fm and $\approx 0.09$ fm. We fit partially quenched results to ``staggered…

In this paper we show that the lengths of the approximating processes in epsilon substitution method are calculable by ordinal recursions in an optimal way.

Logic · Mathematics 2013-04-11 Toshiyasu Arai

In this paper, a new method based on probability generating functions is used to obtain multiple Stein operators for various random variables closely related to Poisson, binomial and negative binomial distributions. Also, Stein operators…

Probability · Mathematics 2016-05-10 N. S. Upadhye , V. Cekanavicius , P. Vellaisamy

Recently, we pointed out that chiral transformation properties of strong penguin operators change in the transition from unquenched to (partially) quenched QCD. As a consequence, new penguin-like operators appear in the (partially) quenched…

High Energy Physics - Lattice · Physics 2009-11-07 M. Golterman , E. Pallante

We present exploratory results for the hadron mass spectrum and pseudoscalar meson decay constants using mixed actions. We use improved staggered sea quarks and HYP-smeared overlap valence quarks. We obtain good signals on 10 configurations…

High Energy Physics - Lattice · Physics 2009-11-10 UKQCD Collaboration , K. C. Bowler , B. Joó , R. D. Kenway , C. M. Maynard , R. J. Tweedie

Nature might be kinder than previously thought as far as epsilon'/epsilon is concerned. We show that the recently obtained experimental value for epsilon'/epsilon does not require sizeable 1/N and isospin-breaking corrections. We propose to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Andrzej J. Buras , Jean-Marc Gérard

We present updated results for kaon B-parameters for operators arising in models of new physics. We use HYP-smeared staggered quarks on the $N_f = 2+1$ MILC asqtad lattices. During the last year we have added new ensembles, which has…

A consistently specified halting function may be computed.

Logic in Computer Science · Computer Science 2016-06-29 Eric C. R. Hehner

We analyze the chiral behavior of the hadron spectrum obtained with quenched Wilson fermions on 170 $32^3 \times 64$ lattices at $\beta = 6.0$. We calculate masses of hadrons composed of both degenerate and non-degenerate quarks. We reduce…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Stephen Sharpe
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