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We present results at beta=6.0 and 6.2 for the O(a) improvement and renormalization constants for bilinear operators using axial and vector Ward identities. We discuss the extraction of the mass dependence of the renormalization constants…

High Energy Physics - Lattice · Physics 2010-05-27 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen Sharpe

Non-perturbative results for improvement and renormalization constants needed for on-shell and off-shell O(a) improvement of bilinear operators composed of Wilson fermions are presented. The calculations have been done in the quenched…

High Energy Physics - Lattice · Physics 2009-09-29 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe

Using chiral Ward identities, we determine the renormalisation constants of bilinear quark operators for the Sheikholeslami-Wohlert action lattice at beta=6.2. The results are obtained with a high degree of accuracy. For the vector current…

High Energy Physics - Lattice · Physics 2009-10-28 David Henty , Richard Kenway , Brian Pendleton , Jon Ivar Skullerud

We present non-perturbative results for the constants needed for on-shell $O(a)$ improvement of bilinear operators composed of Wilson fermions. We work at $\beta=6.0$ and 6.2 in the quenched approximation. The calculation is done by…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen Sharpe

We derive bases of improved operators for all bilinear quark currents up to spin two (including the operators measuring the first moment of DIS Structure Functions), and compute their one-loop renormalization constants for arbitrary…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We extend the application of vector and axial Ward identities to calculate $b_A$, $b_P$ and $b_T$, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory.…

High Energy Physics - Lattice · Physics 2010-05-27 T. Bhattacharya , S. Chandrasekharan , R. Gupta , W. Lee , S. Sharpe

We impose the axial and vector Ward identities on local fermion bilinear operators in the Sheikholesalami-Wohlert discretization of fermions. From this we obtain all the coefficients needed to improve the theory at O(a), as well as the…

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

We extend the application of axial Ward identities to calculate $b_A, b_P$ and $b_T$, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory. The extension…

High Energy Physics - Lattice · Physics 2014-11-17 Tanmoy Bhattacharya , Shailesh Chandrasekharan , Rajan Gupta , Weonjong Lee , Stephen Sharpe

We present the results of an extensive lattice calculation of the renormalization constants of bilinear and four-quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained in the quenched approximation…

High Energy Physics - Lattice · Physics 2009-11-10 D. Becirevic , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto , J. Reyes

We study the behaviour of the vector and axial current renormalisation constants $Z_V$ and $Z_A$ as a function of the quark mass, $m_q$. We show that sizeable $O(am_q)$ and $O(g_0^2 a m_q)$ systematic effects are present in the Wilson and…

High Energy Physics - Lattice · Physics 2010-11-01 M. Crisafulli , V. Lubicz , G. Martinelli , A. Vladikas

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for an RG-improved gauge action and a tadpole-improved clover quark action using the Schr\"odinger functional…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , K. Ide , S. Aoki , M. Fukugita , N. Ishizuka , Y. Iwasaki , K. Kanaya , T. Kaneko , Y. Kuramashi , V. Lesk , M. Okawa , Y. Taniguchi , A. Ukawa , T. Yoshié

We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our…

High Energy Physics - Lattice · Physics 2011-09-13 M. Crisafulli , V. Lubicz , A. Vladikas

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We show that given one O(a) improvement constant, b_m, all the remaining quantities needed to define the renormalized and O(a) improved dimension-3 quark bilinears can be obtained by studying the matrix elements of these operators between…

High Energy Physics - Lattice · Physics 2009-09-25 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee

We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover…

High Energy Physics - Lattice · Physics 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi

A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Lüscher , Stefan Sint , Rainer Sommer , Hartmut Wittig

We carry out the renormalization and the Symanzik O(a)-improvement programme for the static vector current in quenched lattice QCD. The scale independent ratio of the renormalization constants of the static vector and axial currents is…

High Energy Physics - Lattice · Physics 2008-11-26 Filippo Palombi

We present results for the renormalisation constants of bilinear quark operators, using the Nf=2 twisted mass Wilson action at maximal twist (which guarantees automatic O(a) improvement) and the tree-level Symanzik improved gauge action.…

High Energy Physics - Lattice · Physics 2009-04-14 P. Dimopoulos , R. Frezzotti , G. Herdoiza , V. Lubicz , M. Papinutto , S. Simula , A. Vladikas

We report on non-perturbative computations of the improvement coefficient c_V and the renormalization factor Z_V of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Jochen Heitger , Fabian Joswig , Anastassios Vladikas , Christian Wittemeier

We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice…

High Energy Physics - Lattice · Physics 2015-06-25 D. Becirevic , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto , J. Reyes , C. Tarantino [SPQcdR Collaboration]
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