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Related papers: Renormalization of non-singlet quark operator matr…

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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 calculate the quarkonic $O(\alpha_s^2)$ massive operator matrix elements $\Delta A_{Qg}(N), \Delta A_{Qq}^{\rm PS}(N)$ and $\Delta A_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators and the associated heavy flavor Wilson coefficients in…

High Energy Physics - Phenomenology · Physics 2023-02-15 I. Bierenbaum , J. Blümlein , A. De Freitas , A. Goedicke , S. Klein , K. Schönwald

We compute, using the method of large spin perturbation theory, the anomalous dimensions and OPE coefficients of all leading twist operators in the critical $ O(N) $ model, to fourth order in the $ \epsilon $-expansion. This is done fully…

High Energy Physics - Theory · Physics 2018-12-26 Johan Henriksson , Mark van Loon

We discuss the renormalisation properties of parity-odd Delta B=2 operators with the heavy quark treated in the static approximation. Via twisted mass QCD (tmQCD), these operators provide the matrix elements relevant for the B0-B0bar mixing…

High Energy Physics - Lattice · Physics 2007-05-23 F. Palombi , M. Papinutto , C. Pena , H. Wittig

We develop a general approach to the calculation of target mass and finite t=(p'-p)^2 corrections in hard processes which can be studied in the framework of the operator product expansion and involve momentum transfer from the initial to…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. M. Braun , A. N. Manashov

We find the renormalisation coefficients of the quark field and the flavour non-singlet fermion bilinear operators for the domain wall fermion action, in the regularisation independent (RI) renormalisation scheme. Our results are from a…

High Energy Physics - Lattice · Physics 2009-11-07 T. Blum , N. Christ , C. Cristian , C. Dawson , G. Fleming , G. Liu , R. Mawhinney , A. Soni , P. Vranas , M. Wingate , L. Wu , Y. Zhestkov

Non-perturbative corrections to hadronic observables represent a critical obstacle to increasing accuracy at colliders. Long taken to scale simply as $1/Q$, where $Q$ is the centre-of-mass scattering energy, recent work has opened the path…

High Energy Physics - Phenomenology · Physics 2025-07-28 Casey Farren-Colloty , Jack Helliwell , Rtvik Patel , Gavin P. Salam , Silvia Zanoli

The renormalization factors of local quark-bilinear operators are computed non-perturbatively for $N_f=3$ flavors of SLiNC fermions, with emphasis on the various procedures for the chiral and continuum extrapolations. The simulations are…

High Energy Physics - Lattice · Physics 2015-01-14 M. Constantinou , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the…

High Energy Physics - Phenomenology · Physics 2020-12-21 Joan Elias Miró , James Ingoldby , Marc Riembau

We present the formalism to calculate d-dimensional critical exponents in QCD in the large N_f expansion where N_f is the number of quark flavours. It relies in part on demonstrating that at the d-dimensional fixed point of QCD the critical…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciuchini , S. E. Derkachov , J. A. Gracey , A. N. Manashov

Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme. In…

High Energy Physics - Phenomenology · Physics 2011-09-16 S. Kraenkl , A. N. Manashov

Using the domain-wall formulation of lattice fermions, we have computed the one-loop renormalization factors of one-link operators which measure the first nontrivial moment of the unpolarized, polarized and transversity structure functions,…

High Energy Physics - Lattice · Physics 2009-11-11 Stefano Capitani

An implicit four dimensional regularization is applied to calculate the axial-vector-vector anomalous amplitude. The present technique always complies with results of Dimensional Regularization and can be easily applied to processes…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. A. Battistel , G. Dallabona , M. C. Nemes , B. Hiller

We extend the ${\cal O}(\alpha_s^5)$ result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic gauge group. We present explicit formulas which express the relevant renormalization…

High Energy Physics - Phenomenology · Physics 2017-05-24 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present an iterative method, first proposed by us in Ref. [1], which allows for an…

High Energy Physics - Lattice · Physics 2009-01-14 Jacques Bloch , Andreas Frommer , Bruno Lang , Tilo Wettig

We derive explicit transformation formulae relating the renormalized quark mass and field as defined in the MS-bar scheme with the corresponding quantities defined in any other scheme. By analytically computing the three-loop quark…

High Energy Physics - Phenomenology · Physics 2010-04-06 K. G. Chetyrkin , A. Retey

We report on a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of Delta B=2 parity-odd four-fermion operators in quenched lattice QCD. We also present some preliminary results…

High Energy Physics - Lattice · Physics 2008-11-26 F. Palombi , M. Papinutto , C. Pena , H. Wittig

In the asymptotic limit $Q^2 \gg m^2$, the heavy flavor Wilson coefficients for deep--inelastic scattering factorize into the massless Wilson coefficients and the universal heavy flavor operator matrix elements resulting from light--cone…

High Energy Physics - Phenomenology · Physics 2008-12-18 I. Bierenbaum , J. Blümlein , S. Klein

In current lattice simulations of nucleon properties, the up and down quark masses are significantly larger than their physical values, while the strange quark can be included in simulations with its physical mass. When the up and down…

High Energy Physics - Lattice · Physics 2009-11-07 Jiunn-Wei Chen , Martin J. Savage

We discuss the renormalisation properties of the full set of $\Delta F=2$ operators involved in BSM processes, including the definition of RGI versions of operators that exhibit mixing under RG transformations. As a first step for a fully…

High Energy Physics - Lattice · Physics 2018-01-30 Mauro Papinutto , Carlos Pena , David Preti