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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

This talk presents results of weak matrix elements calculated from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. We discuss the extraction of pseudoscalar decay constants $f_\pi$, $f_K$,…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta , Tanmoy Bhattacharya

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We present preliminary results for $\epsilon'/\epsilon$ calculated using HYP staggered fermions in the quenched approximation. We compare different choices of quenched penguin operators.

High Energy Physics - Lattice · Physics 2008-11-26 Tanmoy Bhattacharya , George T. Fleming , Rajan Gupta , Greg Kilcup , Weonjong Lee , Stephen Sharpe

In this short review, I present the recent lattice computations of kaon weak matrix elements relevant to $K \to \pi\pi$ decays and neutral kaon mixing. These matrix elements are key to the theoretical determination of the CP violation…

High Energy Physics - Lattice · Physics 2015-12-09 Nicolas Garron

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 report the details of our ongoing quenched calculations of weak matrix elements using the combination of domain-wall fermions and the DBW2 gauge action on lattices with $a^{-1}\approx 3$ GeV. A strategy to avoid the problem of fixed…

High Energy Physics - Lattice · Physics 2015-06-25 J. Noaki

We accomplish for the first time the next-to-leading-order computation of the weak annihilation contribution to the exclusive electroweak penguin decays $B \to \left \{K, \pi \right \} \ell^{+} \ell^{-}$ with an energetic light-flavour…

High Energy Physics - Phenomenology · Physics 2024-03-19 Yong-Kang Huang , Yue-Long Shen , Chao Wang , Yu-Ming Wang

We compute O(alpha_s) lattice-to-continuum perturbative matching coefficients for the Delta S=2 flavor changing four-quark operators for the Asqtad improved staggered action. In conjunction with lattice simulations with three flavors of…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Becher , Elvira Gamiz , Kirill Melnikov

Perturbative expansions of several small Wilson loops are computed through next-to-next-to-leading order in unquenched lattice QCD, from Monte Carlo simulations at weak couplings. This approach provides a much simpler alternative to…

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

We derive the generating functional of $|\Delta S| =1, 2$ hadronic weak interactions at one loop for a generic number of flavours and its counterpart in the quenched approximation. A systematic analysis of the ultraviolet divergences in the…

High Energy Physics - Lattice · Physics 2009-10-31 E. Pallante

In this work we investigate theoretical and computational aspects of novel lattice fermion formulations for the simulation of lattice gauge theories. The lattice approach to quantum gauge theories is an important tool for studying quantum…

High Energy Physics - Lattice · Physics 2017-03-21 Christian Zielinski

Lattice matrix elements are briefly reviewed. In the quenched approximation $f_B$, $B_B$ and $B_K$ are now under good control. Experimental hints for $f^{\rm expt}_{D_S}> f^{\rm QQCD}_{D_S}$ are noted; precise determination of $f_{D_S}$…

High Energy Physics - Phenomenology · Physics 2016-11-23 Amarjit Soni

We present a numerical computation of matrix elements of DI=3/2 K-->pi pi decays by using Wilson fermions. In order to extrapolate to the physical point we work at unphysical kinematics and we resort to Chiral Perturbation Theory at the…

High Energy Physics - Lattice · Physics 2010-03-19 Ph. Boucaud , V. Gimenez , C. -J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

In the calculation of non-leptonic weak decay rates, a "mismatch" arises when the QCD evolution of the relevant weak hamiltonian down to hadronic scales is performed in unquenched QCD, but the hadronic matrix elements are then computed in…

High Energy Physics - Lattice · Physics 2010-02-03 Maarten Golterman , Elisabetta Pallante

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

We present a complete set of one-loop matrix elements relevant for the hadroproduction of heavy quarks in next-to-leading order employing dimensional regularization to isolate ultraviolet and soft divergences. All results of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. G. Korner , Z. Merebashvili

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 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

I review some progress made on the problem of calculating electroweak processes of mesons at low energy with the use of an approximation to large-Nc QCD which we call the Minimal Hadronic Approximation. An update of results for the matrix…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Peris