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We study the improvement of staggered fermions using hypercubically smeared (HYP) links. We calculate the strange quark mass and the kaon B-parameter, $B_K$, in quenched QCD on a $16^3 \times 64$ lattice at $\beta=6.0$. We find…

High Energy Physics - Lattice · Physics 2014-11-17 Weonjong Lee , Tanmoy Bhattacharya , George T. Fleming , Rajan Gupta , Gregory Kilcup , Stephen R. Sharpe

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

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

We present results for the matrix elements of the additional $\Delta S=2$ operators that appear in models of physics beyond the Standard Model (BSM), expressed in terms of four BSM $B$-parameters. Combined with experimental results for…

We calculate the kaon $B$-parameter in quenched lattice QCD at $\beta=6.0$ using Wilson fermions at $\kappa=0.154$ and $0.155$. We use two kinds of non-local (``smeared'') sources for quark propagators to calculate the matrix elements…

High Energy Physics - Lattice · Physics 2009-10-22 Gupta , Daniel , Kilcup , Patel , Sharpe

We presents results for the matrix elements of a variety of four-fermion operators calculated using quenched Wilson fermions. Our simulations are done on 170 lattices of size $32^3 x 64$ at $\beta = 6.0$. We find $B_K=0.74 +- 0.04 +- 0.05$,…

High Energy Physics - Lattice · Physics 2008-02-03 Rajan Gupta , Tanmoy Bhattacharya , Stephen Sharpe

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 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

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

Improved results for $B_K$ are discussed. Scaling corrections are argued to be of $O(a^2)$, leading to a reduction in the systematic error. For a kaon composed of degenerate quarks, the quenched result is ${\widehat{B}_K} = 0.825 \pm 0.027…

High Energy Physics - Lattice · Physics 2009-10-22 Stephen Sharpe

We present results for the \Delta S=2 matrix elements which are required to study neutral kaon mixing in the standard model (SM) and beyond (BSM). We also provide leading chiral order results for the matrix elements of the electroweak…

High Energy Physics - Lattice · Physics 2009-11-11 Ronald Babich , Nicolas Garron , Christian Hoelbling , Joseph Howard , Laurent Lellouch , Claudio Rebbi

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

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 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…

I present first results from an in-progress calculation of B_K in quenched approximation using overlap fermions. My particular implementation of the overlap uses a kernel with nearest and next-nearest neighbor interactions and HYP-blocked…

High Energy Physics - Lattice · Physics 2015-06-25 Thomas DeGrand

We calculate the kaon mixing B-parameters for operators arising generically in theories of physics beyond the standard model. We use HYP-smeared improved staggered fermions on the $N_f = 2+1$ MILC asqtad lattices. Operator matching is done…

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We find expressions for partially quenched QCD with three sea quarks, quenched QCD, and full QCD with m_u = m_d but not equal to m_s.…

High Energy Physics - Lattice · Physics 2009-11-11 Ruth S. Van de Water , Stephen R. Sharpe

We demonstrate the viability of improved staggered light quarks in studies of heavy-light systems. Our method for constructing heavy-light operators exploits the close relation between naive and staggered fermions. The new approach is…

High Energy Physics - Lattice · Physics 2009-11-07 Matthew Wingate , Junko Shigemitsu , Christine T. H. Davies , G. Peter Lepage , Howard D. Trottier

We present preliminary results of matrix elements of four-fermion operators relevant to the determination of e and e'/e using staggered fermions.

High Energy Physics - Lattice · Physics 2009-09-25 T. Bhattacharya , G. T. Fleming , G. Kilcup , R. Gupta , W. Lee , S. Sharpe
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