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Related papers: Matching coefficients for improved staggered bilin…

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We present some results pertaining to partially quenched formulations of the overlap/domain wall operator with the Thirring model in 2+1D. Auxiliary fields are generated with a Shamir domain wall approach and measurements of eigenvalues and…

High Energy Physics - Lattice · Physics 2021-12-07 Jude Worthy , Simon Hands

Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as…

High Energy Physics - Phenomenology · Physics 2021-03-17 Sebastian A. R. Ellis , Jérémie Quevillon , Pham Ngoc Hoa Vuong , Tevong You , Zhengkang Zhang

We present non-perturbative results for the constants needed for on-shell $O(a)$ improvement of bilinear operators composed of Wilson fermions. We work at $\beta=6.0$ and 6.2 in the quenched approximation. The calculation is done by…

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

We report on recent progress in employing the Highly Improved Staggered Quark (HISQ) action introduced by the HPQCD/UKQCD collaboration in simulations with dynamical fermions. The HISQ action is an order $a^2$ Symanzik-improved action with…

High Energy Physics - Lattice · Physics 2010-01-21 A. Bazavov , C. Bernard , C. DeTar , W. Freeman , Steven Gottlieb , U. M. Heller , J. E. Hetrick , J. Laiho , L. Levkova , J. Osborn , R. Sugar , D. Toussaint

We present results for the one-loop value of the improvement coefficient $c_\mathrm{SW}$ for Wilson and Brillouin fermions subject to stout smearing or Wilson flow, in combination with Wilson or Symanzik glue. To this end we use a recently…

High Energy Physics - Lattice · Physics 2026-01-21 Maximilian Ammer , Stephan Durr

In this paper we present one-loop results for the renormalization of nonlocal quark bilinear operators, containing a staple-shaped Wilson line, in both continuum and lattice regularizations. The continuum calculations were performed in…

High Energy Physics - Lattice · Physics 2019-04-24 Martha Constantinou , Haralambos Panagopoulos , Gregoris Spanoudes

We investigate the continuum limit of the rooted staggered action in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinants with an overlap fermion determinant of two (one) flavors and a local pure…

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

As a feasibility study for a scaling test we investigate the behavior of algorithms for dynamical fermions in the N_f=2 Schroedinger functional at an intermediate volume of 1 fm^4. Simulations were performed using HMC with two…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Ulli Wolff

We calculate corrections to the fermion propagator and to the Green's functions of all fermion bilinear operators of the form $\bar\Psi \Gamma \Psi$, to one-loop in perturbation theory. We employ the Wilson/clover action for fermions and a…

High Energy Physics - Lattice · Physics 2010-08-11 M. Constantinou , V. Lubicz , H. Panagopoulos , F. Stylianou

The order $\alpha_s$ corrections to the Wilson coefficients of the dipole operators ($O_7,O_8$) at the matching scale $\mu =m_W$ are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for $b…

High Energy Physics - Phenomenology · Physics 2014-11-17 Christoph Greub , Tobias Hurth

We present the corrections to the fermion propagator, to second order in the lattice spacing, O(a^2), in 1-loop perturbation theory. The fermions are described by the clover action and for the gluons we use a 3-parameter family of Symanzik…

High Energy Physics - Lattice · Physics 2009-04-14 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

We discuss the limitations of the covariant derivative expansion prescription advocated to compute the one-loop Standard Model (SM) effective lagrangian when the heavy fields couple linearly to the SM. In particular, one-loop contributions…

High Energy Physics - Phenomenology · Physics 2016-05-25 Francisco del Aguila , Zoltan Kunszt , Jose Santiago

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for $O(a)$-improved quark action and gauge action including six-link loops. This calculation…

High Energy Physics - Lattice · Physics 2016-12-28 S. Aoki , Y. Kuramashi , T. Onogi , N. Tsutsui

We define a sparse hermitian lattice Dirac matrix, $H$, coupling $2n+1$ Dirac fermions. When $2n$ fermions are integrated out the induced action for the last fermion is a rational approximation to the hermitian overlap Dirac operator. We…

High Energy Physics - Lattice · Physics 2009-10-31 R. Narayanan , H. Neuberger

For a linear complementarity problem, we present a relaxaiton accelerated two-sweep matrix splitting iteration method. The convergence analysis illustrates that the proposed method converges to the exact solution of the linear…

Optimization and Control · Mathematics 2020-12-02 Dongkai Li , Li Wang , Yuying Liu

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$…

High Energy Physics - Theory · Physics 2015-10-07 Benjamin Basso , Vasco Goncalves , Shota Komatsu , Pedro Vieira

Non-perturbative results for improvement and renormalization constants needed for on-shell and off-shell O(a) improvement of bilinear operators composed of Wilson fermions are presented. The calculations have been done in the quenched…

High Energy Physics - Lattice · Physics 2009-09-29 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe

We discuss the improvement of bilinear fermionic operators for Ginsparg-Wilson fermions. We present explicit formulae for improved Green's functions, which apply both on-shell and off-shell.

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz

I have performed scaling tests using quenched spectroscopy of a family of fermion actions which have a hypercubic kinetic term, gauge connections built of smeared links, and an anomalous magnetic moment term. These actions show improved…

High Energy Physics - Lattice · Physics 2010-11-19 MILC Collaboration , T. DeGrand

The spectral properties of a variety of improved staggered operators are studied in quenched QCD. The systematic dependence of the infrared eigenvalue spectrum on i) improvement in the staggered operator, ii) improvement in the gauge field…

High Energy Physics - Lattice · Physics 2009-11-10 Kit Yan Wong , R. M. Woloshyn
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