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We present results for kaon mixing parameter $B_K$ calculated using HYP-smeared improved staggered fermions on the MILC asqtad lattices. We use three lattice spacings ($a\approx 0.12$, $0.09$ and $0.06\;$fm), ten different valence quark…

High Energy Physics - Lattice · Physics 2011-01-17 Taegil Bae , Yong-Chull Jang , Chulwoo Jung , Hyung-Jin Kim , Jongjeong Kim , Kwangwoo Kim , Weonjong Lee , Stephen R. Sharpe , Boram Yoon

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

High Energy Physics - Lattice · Physics 2008-11-26 Oleg Loktik , Taku Izubuchi

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 present the results for $B_K$ calculated using HYP-smeared staggered fermions using lattices generated by the MILC collaboration using the asqtad staggered action. We have done the calculation on 8 ensembles of these lattices, including…

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

We extend our previous study of taste-symmetry breaking using HYP-smeared staggered fermions in two ways. First, we improve the statistics of a comparison of unimproved and HYP-smeared staggered fermions on quenched lattices with $a\approx…

High Energy Physics - Lattice · Physics 2008-11-26 Taegil Bae , David Adams , Chulwoo Jung , Hyung-Jin Kim , Jongjeong Kim , Kwangwoo Kim , Weonjong Lee , Stephen R. Sharpe

We present recent progress in understanding weak matrix elements on the lattice. We use HYP staggered fermions in quenched QCD to study numerically various properties of the $K^+\to\pi^+$ amplitudes of the electroweak penguin operators…

High Energy Physics - Lattice · Physics 2007-05-23 Weonjong Lee , George T. Fleming

The scaling corrections that affected previous staggered calculations of B_K have been proved to be reduced by using improved actions (HYP, Asqtad) in the quenched approximation. This improved behaviour allows us to perform a reliable…

High Energy Physics - Lattice · Physics 2010-01-18 E. Gamiz , S. Collins , C. T. H. Davies , J. Shigemitsu , M. Wingate

Expanding upon the arguments of Sharpe, we explicitly implement the Symanzik improvement program demonstrating the absence of order $a$ terms in the staggered fermion action. We propose a general program to improve fermion operators to…

High Energy Physics - Lattice · Physics 2015-06-25 Yubing Luo

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 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

We introduce a class of improved actions for staggered fermions which to O(p^4) and O(p^6), respectively, lead to rotationally invariant propagators. We discuss the resulting reduction of flavour symmetry breaking in the meson spectrum and…

High Energy Physics - Lattice · Physics 2010-11-19 B. Beinlich , A. Bicker , F. Karsch , E. Laermann , A. Peikert

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…

We give an update on our calculation of $B_K$ using HYP-smeared valence staggered quarks. We have results for $B_K$ at tree-level on several coarse MILC lattices ($a\approx 0.12 $fm) and one of the fine lattices ($a\approx 0.09 $fm), using…

High Energy Physics - Lattice · Physics 2010-01-21 Taegil Bae , Hyung-Jin Kim , Jongjeong Kim , Kwangwoo Kim , Boram Yoon , Weonjong Lee , Chulwoo Jung , Stephen R. Sharpe

We present results of a perturbative matching calculation performed at one-loop for heavy-light currents. We use the Fermilab action for the heavy quarks, the Asqtad action for the light quarks, and an improved gluon action. We also present…

High Energy Physics - Lattice · Physics 2010-11-19 Aida X. El-Khadra , Elvira Gámiz , Andreas S. Kronfeld , Matthew A. Nobes

We present results for non-perturbative renormalization (NPR) factors for staggered fermion bilinears of arbitrary spin and taste. We use "covariant" bilinears which transform irreducibly under the lattice translation and rotation group,…

High Energy Physics - Lattice · Physics 2011-11-22 Andrew T. Lytle , Stephen R. Sharpe

We perform a perturbative calculation of the influence of dynamical HISQ fermions on the perturbative improvement of the gluonic action in the same way as we have previously done for asqtad fermions. We find the fermionic contributions to…

High Energy Physics - Lattice · Physics 2009-06-09 A. Hart , G. M. von Hippel , R. R. Horgan

The use of improved staggered actions (HYP, Asqtad) has been proved to reduce the scaling corrections that affected previous calculations of B_K with unimproved (standard) staggered fermions in the quenched approximation. This improved…

High Energy Physics - Lattice · Physics 2008-11-26 E. Gamiz , S. Collins , C. T. H. Davies , G. P. Lepage , J. Shigemitsu , M. Wingate

We present matching factors for $Z_q$ calculated perturbatively at the one-loop level with improved staggered quarks. We calculate $Z_q$ with HYP-smeared staggered quarks and Symanzik-improved gluons using both RI-MOM and RI$'$-MOM schemes.…

High Energy Physics - Lattice · Physics 2024-12-11 Benjamin J. Choi , Weonjong Lee , Jangho Kim , Sungwoo Park , Stephen R. Sharpe

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 matching factors of the four-fermion operators relevant to $B_K$, which are obtained using the non-perturbative renormalization (NPR) method in the RI-MOM scheme with HYP-smeared improved staggered…

High Energy Physics - Lattice · Physics 2014-11-03 Hwancheol Jeong , Jangho Kim , Jongjeong Kim , Weonjong Lee , Jeonghwan Pak , Sungwoo Park