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We report updated results for $B_K$ using HYP-smeared staggered valence quarks on MILC asqtad lattices based on an analysis using SU(3) staggered chiral perturbation theory. The most important new feature of our data sample is the inclusion…

By using Symanzik's improvement program, we study on-shell improved lattice QCD with staggered fermions. We find that there are as many as 15 independent lattice operators of dimension of six~(including both gauge and fermion operators)…

High Energy Physics - Lattice · Physics 2009-10-30 Yubing Luo

Using lattice overlap fermions, we have computed the 1-loop renormalization factors of several operators that measure DIS structure functions and weak amplitudes. Computer codes written in the algebraic manipulation language FORM have been…

High Energy Physics - Lattice · Physics 2007-05-23 Stefano Capitani

An explanation is proposed for the fact that Lepage--Mackenzie tadpole improvement does not work well for staggered fermions. The idea appears to work for all renormalization constants which appear in the staggered fermion self-energy.…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD…

High Energy Physics - Lattice · Physics 2015-06-25 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the…

High Energy Physics - Theory · Physics 2018-02-14 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , T. Štemberga

One of the most serious problems of the staggered fermion lattice action is flavor symmetry violation. Smeared link staggered fermions can improve flavor symmetry by an order of magnitude relative to the standard thin link action. Over the…

High Energy Physics - Lattice · Physics 2009-11-07 Anna Hasenfratz

We calculate lattice renormalisation constants of local and one-link quark operators for overlap fermions and improved gauge actions in one-loop perturbation theory. For the local operators we stout smear the SU(3) links in the fermionic…

High Energy Physics - Lattice · Physics 2011-04-11 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The coefficient of the O(a)-improved Sheikholeslami-Wohlert action for Wilson fermions are perturbatively determined at one-loop level and estimated at two-loop level.

High Energy Physics - Lattice · Physics 2009-10-22 Satchidananda Naik

The improved staggered quark action has enabled breakthrough calculations of QCD with three light dynamical quarks. The largest remaining $a^2$ scaling violations come from "taste-changing" interactions, which are significantly reduced over…

High Energy Physics - Lattice · Physics 2009-11-10 Eduardo Follana , Quentin Mason , Christine Davies , Kent Hornbostel , Peter Lepage , Howard Trottier

We investigate, in the framework of perturbation theory at finite $N_s$, the effectiveness of improved gauge actions in suppressing the chiral violations of domain-wall fermions. Our calculations show substantial reductions of the residual…

High Energy Physics - Lattice · Physics 2008-11-26 Stefano Capitani

Using Schroedinger functional techniques, we determine the coefficient of the clover term necessary for non-perturbative O(a) improvement of hypercubic smeared Wilson fermions on a quenched plaquette action background. Unlike for unsmeared…

High Energy Physics - Lattice · Physics 2008-11-26 Roland Hoffmann , Anna Hasenfratz , Stefan Schaefer

We calculate the fermion propagator and the quark-antiquark Green's functions for a complete set of ultralocal fermion bilinears, ${{\cal O}_\Gamma}$ [$\Gamma$: scalar (S), pseudoscalar (P), vector (V), axial (A) and tensor (T)], using…

High Energy Physics - Lattice · Physics 2013-11-22 G. S. Bali , F. Bruckmann , M. Constantinou , M. Costa , G. Endrodi , S. D. Katz , H. Panagopoulos , A. Schafer

This work presents several new results concerning the analysis of the convergence of binary, univariate, and linear subdivision schemes, all related to the {\it contractivity factor} of a convergent scheme. First, we prove that a convergent…

Numerical Analysis · Mathematics 2024-05-24 Nira Dyn , Nir Sharon

We study possibility of improving staggered fermions using various fat links in order to reduce perturbative corrections to the gauge-invariant staggered fermion operators. We prove five theorems on SU(3) projection, triviality in…

High Energy Physics - Lattice · Physics 2009-11-07 Weonjong Lee

We investigate the use of two kinds of staggered fermion operators, smeared and unsmeared. The smeared operators extend over a $4^4$ hypercube, and tend to have smaller perturbative corrections than the corresponding unsmeared operators. We…

High Energy Physics - Lattice · Physics 2009-10-30 Greg Kilcup , Rajan Gupta , Stephen Sharpe

The clover coefficient $\csw$ is computed at one loop order of perturbation theory for improved gluon actions including six-link loops. The O(a) improvement coefficients for the dimension three isovector composite operators bilinear in the…

High Energy Physics - Lattice · Physics 2009-10-31 S. Aoki , R. Frezzotti , P. Weisz

The coefficient $c_{\rm sw}$ appearing in the Sheikholeslami-Wohlert improved action is computed to one loop perturbation theory for improved gluon actions including six-link loops. The O($a$) improvement coefficients for the dimension…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Roberto Frezzotti , Peter Weisz

We test exact and approximate Ginsparg-Wilson fermions with respect to their chiral and scaling behavior in the 2-flavor Schwinger model. We first consider explicit approximate GW fermions in a short range, then we proceed to their chiral…

High Energy Physics - Lattice · Physics 2015-06-25 W. Bietenholz , I. Hip