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We present the two-loop corrected operator matrix elements contributing to the scale evolution of the longitudinal spin structure function $g_1(x,Q^2)$ calculated up to finite terms which survive in the limit $\epsilon = N - 4 \to 0$. These…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

Status report is made of our quenched study of heavy-light matrix elements employing the Wilson quark action for heavy quark. Results obtained up to now with 200 configurations at $\beta=6.1$ on a $24^3\times64$ lattice and with 100…

High Energy Physics - Lattice · Physics 2012-08-27 JLQCD Collaboration

We introduce a lattice fermion-Higgs model with one component `reduced staggered' fermions. In order to use the fermion field as efficiently as possible we couple the two {\em staggered} flavors to the O(4) Higgs field leading to a model…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

I calculate, at one loop in staggered chiral perturbation theory, the matrix elements of the complete set of five local operators that may contribute to B mixing both in the Standard Model and in beyond-the-Standard-Model theories. Lattice…

High Energy Physics - Lattice · Physics 2013-06-12 C. Bernard

The status of lattice calculations for heavy quark systems is reviewed, focussing on weak matrix elements for leptonic and semi-leptonic decays of heavy mesons. After an assessment of the main systematic errors, results for the decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

We present our preliminary results for the $\Delta I = 1/2$ matrix elements of $K\to\pi\pi$ decay and $\varepsilon'$, the measure of direct $CP$ violation in $K\to\pi\pi$, computed on multiple ensembles with periodic boundary conditions…

High Energy Physics - Lattice · Physics 2025-01-31 Masaaki Tomii

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

Results on the computational efficiency of 2-flavor staggered Wilson fermions compared to usual Wilson fermions in a quenched lattice QCD simulation on $16^3\times32$ lattice at $\beta=6$ are reported. We compare the cost of inverting the…

High Energy Physics - Lattice · Physics 2013-12-18 David H. Adams , Daniel Nogradi , Andrii Petrashyk , Christian Zielinski

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 on progress and future plans for calculating kaon weak matrix elements for epsilon'/epsilon using staggered fermions.

High Energy Physics - Lattice · Physics 2007-05-23 T. Bhattacharya , G. T. Fleming , G. Kilcup , R. Gupta , W. Lee , S. Sharpe

We calculate direct CP-violating rate asymmetries in charged $B\to PP$ and $B\to VP$ decays arising from the interference of amplitudes with different strong and CKM phases. The perturbative strong phases develop at order $\alpha_s$ from…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Kramer , W. F. Palmer , H. Simma

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

Lattice results for heavy light matrix elements are reviewed and some of their implications are very briefly discussed. Despite the fact that in most cases the lattice results for weak matrix elements at the moment have only a modest…

High Energy Physics - Lattice · Physics 2007-05-23 A. Soni

We present a technique which permits the calculation of two-point functions of operators containing one heavy quark and an arbitrary number of light quarks as analytic functions of the heavy-quark mass. It is based on the standard Jacobi…

High Energy Physics - Lattice · Physics 2010-11-01 D. S. Henty , R. D. Kenway

Status of lattice calculations of hadron matrix elements along with CP violation in B and in K systems is reviewed. Lattice has provided useful input which, in conjunction with experimenatl data, leads to the conclusion that CP-odd phase in…

High Energy Physics - Phenomenology · Physics 2010-11-23 Amarjit Soni

We explore application of the domain wall fermion formalism of lattice QCD to calculate the $K\to\pi\pi$ decay amplitudes in terms of the $K\to\pi$ and $K\to 0$ hadronic matrix elements through relations derived in chiral perturbation…

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 review the present status of QCD corrections to weak decays beyond the leading logarithmic approximation including particle-antiparticle mixing and rare and CP violating decays. After presenting the basic formalism for these calculations…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gerhard Buchalla , Andrzej J. Buras , Markus E. Lautenbacher

We find a solution to the Strong CP problem that may be testable at the LHC and future colliders. In this solution CP is broken by parity conserving terms, while parity breaking VEVs conserve CP. The quark mass matrix is Hermitian at the…

High Energy Physics - Phenomenology · Physics 2011-01-05 Ravi Kuchimanchi

We present results for matrix elements of $\Delta S=2$ four-fermion operators arising generically in models of new physics. These are needed to constrain such models using the measured values of $\varepsilon_K$ and $\Delta M_K$. We use…