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We perform the non-perturbative (quenched) renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and its three-loop matching to QCD. At order 1/m of the expansion, the operator is responsible for the mass splitting…

High Energy Physics - Lattice · Physics 2010-12-13 A. G. Grozin , D. Guazzini , P. Marquard , H. B. Meyer , J. H. Piclum , R. Sommer , M. Steinhauser

For the first time, we compute non-perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two-fermion operators in the quenched approximation at $\beta=6.0$, 6.2 and 6.4 using the Wilson and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Gimenez

We present results of a high statistics study (O(2000) configurations) of the quark masses in the MS-bar scheme from Lattice QCD in the quenched approximation at beta=6.0, beta=6.2 and beta=6.4 using both the Wilson and the tree-level…

High Energy Physics - Lattice · Physics 2009-10-30 L. Giusti

Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|\Delta B| = 1$ Hamiltonian. In the presence of…

High Energy Physics - Phenomenology · Physics 2025-04-16 Matthew Black , Martin Lang , Alexander Lenz , Zachary Wüthrich

We compute non-perturbatively the renormalisation constants of composite operators on a $16^3 \times 32 $ lattice with lattice spacing $a$ = 0.093 fm for the overlap fermion action by using the regularisation independent (RI) scheme. The…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , D. B. Leinweber , K. F. Liu , A. G. Williams

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Kaltenbrunner , Meinulf Göckeler , Andreas Schäfer

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 study a gauge-invariant renormalization scheme (GIRS) for composite operators, regularized on the lattice, by extending the coordinate space (X-space) scheme proposed some years ago. In this scheme, Green's functions of products of…

High Energy Physics - Lattice · Physics 2021-11-09 G. Spanoudes , M. Costa , I. Karpasitis , T. Pafitis , G. Panagopoulos , H. Panagopoulos , A. Skouroupathis

The operator mixing matrix for the dimension six operators in the heavy quark effective theory Lagrangian is computed at one loop. The results are shown to be consistent with constraints from the equations of motion, and from…

High Energy Physics - Phenomenology · Physics 2009-10-30 Christian Bauer , Aneesh V. Manohar

We calculate perturbative renormalization constants for the \Delta B=2 four-quark operators in lattice NRQCD. Continuum operators \bar{b}\gamma_{\mu}(1-\gamma_5)q~ \bar{b}\gamma_{\mu}(1-\gamma_5)q and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Hashimoto , K-I. Ishikawa , T. Onogi , M. Sakamoto , N. Tsutsui , N. Yamada

We extend the position-space renormalization procedure, where renormalization factors are calculated from Green's functions in position space, by introducing a technique to take the average of Green's functions over spheres. In addition to…

High Energy Physics - Lattice · Physics 2019-02-06 Masaaki Tomii , Norman H. Christ

We present preliminary results for the renormalization functions (RFs) of a number of quark and gluon operators studied in lattice QCD using a gauge-invariant renormalization scheme (GIRS). GIRS is a variant of the coordinate-space…

High Energy Physics - Lattice · Physics 2022-12-16 G. Spanoudes , C. Alexandrou , J. Finkenrath , K. Hadjiyiannakou , H. Panagopoulos , S. Yamamoto

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

We present results for the non-perturbative renormalisation of four-fermion operators with two flavours of dynamical quarks. We consider both fully relativistic left current-left current operators, and a full basis for $\Delta B=2$…

High Energy Physics - Lattice · Physics 2008-11-26 P. Dimopoulos , G. Herdoiza , F. Palombi , M. Papinutto , C. Pena , A. Vladikas , H. Wittig

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

High Energy Physics - Lattice · Physics 2008-11-26 Oleg Loktik , Taku Izubuchi

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 study the non-perturbative determination of the renormalization constants of flavor non-singlet quark bilinear operators on the lattice. The renormalization condition is imposed on correlation functions of bilinear operators in the…

High Energy Physics - Lattice · Physics 2014-11-26 M. Tomii , G. Cossu , S. Hashimoto , J. Noaki

We investigate the nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , H. Oelrich , H. Perlt , D. Petters , P. E. L. Rakow , A. Schafer , G. Schierholz , A. Schiller

We discuss the renormalization of the lattice formulation of the Heavy Quark Effective Theory (LHQET). In addition to wave function and composite operator renormalizations, on the lattice the classical velocity is also renormalized. The…

High Energy Physics - Lattice · Physics 2009-10-28 Jeffrey E. Mandula , Michael C. Ogilvie

We study the symmetries of the three heavy-quark system under exchange of the quark fields within the effective field theory framework of potential non-relativistic QCD. The symmetries constrain the form of the matching coefficients in the…

High Energy Physics - Phenomenology · Physics 2013-04-16 Nora Brambilla , Felix Karbstein , Antonio Vairo