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We calculate one-loop matching factors for bilinear operators composed of improved staggered fermions. We compare the results for different improvement schemes used in the recent literature, including the HYP action and an action close to…

High Energy Physics - Lattice · Physics 2009-11-07 Weonjong Lee , Stephen R. Sharpe

We present results for matching factors for bilinear operators composed of HYP-smeared staggered fermions and constructed using HYP-smeared fat links. The matching factors are calculated perturbatively at one-loop order. The new feature of…

High Energy Physics - Lattice · Physics 2010-11-05 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We present results for one-loop perturbative matching factors using bilinear operators composed of improved staggered fermions, using unimproved (Wilson) and improved (Symanzik, Iwasaki, and DBW2) gluon actions. We consider two fermions…

High Energy Physics - Lattice · Physics 2012-01-25 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We present results for one-loop matching factors of four-fermion operators composed of HYP-smeared staggered fermions. We generalize previous calculations by using the tree-level improved Symanzik gauge action. These results are needed for…

High Energy Physics - Lattice · Physics 2011-05-19 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We present results for matching factors for staggered four-fermion operators constructed using HYP-smeared fat links both in the action and the operators. We use perturbation theory to calculate the matching factors and work to one-loop…

High Energy Physics - Lattice · Physics 2011-03-10 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We discuss the impact of using one-loop matching on the calculation of $B_K$ using HYP-smeared improved staggered fermions. We give estimates of size of the truncation errors from the missing two-loop corrections.

High Energy Physics - Lattice · Physics 2010-02-23 Jangho Kim , Taegil Bae , Hyung-Jin Kim , Jongjeong Kim , Kwangwoo Kim , Boram Yoon , Weonjong Lee , Chulwoo Jung , Stephen R. Sharpe

We present a chronological review of the progress in calculating weak matrix elements using staggered fermions. We review the perturbative calculation of one-loop matching formula including both current-current diagrams and penguin diagrams…

High Energy Physics - Lattice · Physics 2009-11-10 Weonjong Lee

We calculate, at the one loop level, penguin diagrams for improved staggered fermion operators constructed using various fat links. The main result is that diagonal mixing coefficients with penguin operators are identical between the…

High Energy Physics - Lattice · Physics 2009-11-10 Weonjong Lee

We present results of the one-loop corrections originating from the penguin diagrams for the improved staggered fermion operators constructed using various fat links such as Fat7, Fat7+Lepage, $\bar{\rm Fat7}$, HYP (I) and HYP (II). The…

High Energy Physics - Lattice · Physics 2009-11-10 Keunsu Choi , Weonjong Lee

We apply non-perturbative renormalization to bilinears composed of improved staggered fermions. We explain how to generalize the method to staggered fermions in a way which is consistent with the lattice symmetries, and introduce a new type…

High Energy Physics - Lattice · Physics 2013-10-18 Andrew T. Lytle , Stephen R. Sharpe

Using staggered fermions, we calculate the perturbative corrections to the bilinear and four-fermion operators that are used in the numerical study of weak matrix elements for $\epsilon'/\epsilon$. We present results for one-loop matching…

High Energy Physics - Lattice · Physics 2014-11-17 Weonjong Lee

I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recently-proposed variant discretization of the overlap. These…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand

We calculate the one-loop matching coefficients between continuum and lattice four-fermion operators for lattice operators constructed using staggered fermions and improved by the use of fattened links. In particular, we consider hypercubic…

High Energy Physics - Lattice · Physics 2009-11-10 Weonjong Lee , Stephen Sharpe

We present preliminary results of weak matrix elements relevant to CP violation calculated using the HYP (II) staggered fermions. Since the complete set of matching coefficients at the one-loop level became available recently, we have…

High Energy Physics - Lattice · Physics 2014-11-17 T. Bhattacharya , G. T. Fleming , G. Kilcup , R. Gupta , W. Lee , S. Sharpe

We calculate one-loop renormalization factors and mixing coefficients of bilinear quark operators for a class of gluon actions with six-link loops and O(a)-improved quark action. The calculation is carried out by evaluating on-shell Green's…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Kei-ichi Nagai , Yusuke Taniguchi , Akira Ukawa

We calculate the perturbative corrections to fermion bilinears that are used in numerical simulations when extracting weak matrix elements using staggered fermions. This extends previous calculations of Golterman and Smit, and Daniel and…

High Energy Physics - Lattice · Physics 2014-11-17 Apoorva Patel , Stephen Sharpe

A recent numerical lattice calculation of the kaon mixing matrix elements of general $\Delta S=2$ four-fermion operators using staggered fermions relied on two auxiliary theoretical calculations. Here we describe the methodology and present…

High Energy Physics - Lattice · Physics 2014-07-16 Jongjeong Kim , Weonjong Lee , Jaehoon Leem , Stephen R. Sharpe , Boram Yoon

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 compute Z-factors for general staggered bilinears on fine (a \approx 0.09 fm) MILC ensembles using both asqtad and HYP-smeared valence actions, comparing the results to the predictions of one-loop perturbation theory. This is an…

High Energy Physics - Lattice · Physics 2012-12-04 Andrew T. Lytle , Stephen R. Sharpe

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
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