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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 present non-perturbative renormalization factors for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schroedinger functional method. Non-perturbative renormalization factor for $B_K$ is evaluated at hadronic…

High Energy Physics - Lattice · Physics 2009-04-14 Yousuke Nakamura , Yusuke Taniguchi , for CP-PACS Collaboration

We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

High Energy Physics - Lattice · Physics 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

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

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 evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

We compute non-perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O^{\Delta S=2}_{LL}$ over a wide range of energy scales using a…

High Energy Physics - Lattice · Physics 2009-10-31 Yuriy Zhestkov

We study the chiral condensate, $<\bar\psi\psi>$, and various quark bilinear vertex functions for domain wall fermions at different lattice scales, with both the Wilson and DBW2 gauge actions, in both quenched and dynamical fermion…

High Energy Physics - Lattice · Physics 2009-11-10 Azusa Yamaguchi

We report on a non-perturbative evaluation of the renormalization factors for the vector and axial-vector currents, $Z_V$ and $Z_A$, in the quenched domain-wall QCD (DWQCD) with plaquette and renormalization group improved gauge actions. We…

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

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy to deep in the high energy…

High Energy Physics - Lattice · Physics 2011-03-28 Yusuke Taniguchi

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

We compute non--perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O_{LL}^{\Delta S=2}$ over a wide range of energy scales using a…

High Energy Physics - Lattice · Physics 2007-05-23 Yuriy Zhestkov

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Rainer Sommer

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy region, where…

High Energy Physics - Lattice · Physics 2014-11-21 S. Aoki , K. -I. Ishikawa , N. Ishizuka , T. Izubuchi , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

We present a preliminary result of Nf=2+1 QCD running coupling in Schroedinger functional scheme. We adopted Iwasaki gauge action and non-perturbatively improved Wilson fermion action with clover term. We use seven renormalization scales to…

High Energy Physics - Lattice · Physics 2010-01-21 Yusuke Taniguchi

We calculate non-perturbative renormalization factors at hadronic scale for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schr\"{o}dinger functional method. Combining them with the non-perturbative renormalization…

High Energy Physics - Lattice · Physics 2019-08-14 Yousuke Nakamura , Sinya Aoki , Yusuke Taniguchi , Tomoteru Yoshié

We define a family of Schroedinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the $\Delta F = 1$ and $\Delta F = 2$ effective weak Hamiltonians. Using the lattice regularization with…

High Energy Physics - Lattice · Physics 2015-06-25 M. Guagnelli , J. Heitger , C. Pena , S. Sint , A. Vladikas

A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Heitger

We calculate one-loop renormalization factors of several quark operators including bilinear, three- and four-quark operator for domain-wall fermion action. Since Green functions are constructed for external physical quark fields, our…

High Energy Physics - Lattice · Physics 2015-06-25 Sinya Aoki , Taku Izubuchi , Junichi Noaki , Yoshinobu Kuramashi , Yusuke Taniguchi

The chirally rotated Schr\"odinger functional for Wilson-fermions allows for finite-volume, mass-independent renormalization schemes compatible with automatic O($a$) improvement. So far, in QCD, the set-up has only been studied in the…

High Energy Physics - Lattice · Physics 2014-12-30 Mattia Dalla Brida , Stefan Sint
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