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

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We calculate non-singlet quark operator matrix elements of deep-inelastic scattering in the chiral limit including operators with total derivatives. This extends previous calculations with zero-momentum transfer through the operator vertex…

High Energy Physics - Phenomenology · Physics 2021-09-14 S. Moch , S. Van Thurenhout

We determine the anomalous dimension matrix for the transversity operator mixing into total derivative operators in the limit of a large number of quark flavors $n_f$ to fourth order in the strong coupling $\alpha_s$ in the…

High Energy Physics - Phenomenology · Physics 2022-05-23 S. Van Thurenhout

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

We briefly review and compare three methods (one perturbative, one based on Ward Identities and one non-perturbative) for the calculation of the renormalization constants of lattice operators. The following results are presented: (a) non…

High Energy Physics - Lattice · Physics 2009-10-28 A. Vladikas

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation…

High Energy Physics - Lattice · Physics 2019-05-08 M. Costa , H. Panagopoulos

We give an overview of recent developments in the computation of the anomalous dimension matrix of composite operators in non-forward kinematics. The elements of this matrix set the evolution of non-perturbative parton distributions such as…

High Energy Physics - Phenomenology · Physics 2026-01-06 S. Van Thurenhout

We compute non-perturbatively the evolution of the twist-2 operators corresponding to the average momentum of non-singlet quark densities. The calculation is based on a finite-size technique, using the Schr\"odinger Functional, in quenched…

High Energy Physics - Lattice · Physics 2009-11-10 A. Shindler , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , I. Wetzorke

Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Gracey

We study the off-shell mixing and renormalization of flavor-diagonal dimension-5 T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromo-electric dipole operators. We present the…

High Energy Physics - Phenomenology · Physics 2016-08-02 T. Bhattacharya , V. Cirigliano , R. Gupta , E. Mereghetti , B. Yoon

We compute the hadronic matrix elements of the four-quark operators relevant for $K^0-{\bar K^0}$ mixing beyond the Standard Model. Our results are from lattice QCD simulations with $n_f=2+1$ flavours of domain-wall fermion, which exhibit…

High Energy Physics - Lattice · Physics 2016-11-08 Nicolas Garron , Renwick J. Hudspith , Andrew T. Lytle

We give an overview of recent developments in the computation of the anomalous dimension matrix of composite operators in non-forward kinematics. The elements of this matrix determine the scale dependence of non-perturbative parton…

High Energy Physics - Phenomenology · Physics 2024-05-29 S. Van Thurenhout

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding…

High Energy Physics - Phenomenology · Physics 2021-09-08 J. Blümlein , A. De Freitas , M. Saragnese , C. Schneider , K. Schönwald

Staple-shaped Wilson line operators are necessary for the study of transverse momentum-dependent parton distribution functions (TMDPDFs) in lattice QCD and beyond. In this work, we study the renormalization of such operators in the general…

The $O(\alpha_s^2)$ massive operator matrix elements for unpolarized and polarized heavy flavor production at asymptotic values $Q^2 >> m^2$ are calculated in Mellin space without applying the integration-by-parts method. We confirm…

High Energy Physics - Phenomenology · Physics 2007-06-20 I. Bierenbaum , J. Blümlein , S. Klein

We discuss the renormalisation properties of the complete set of $\Delta B = 2$ four-quark operators with the heavy quark treated in the static approximation. We elucidate the role of heavy quark symmetry and other symmetry transformations…

High Energy Physics - Lattice · Physics 2009-11-11 F. Palombi , M. Papinutto , C. Pena , H. Wittig

We introduce a new parameterization of four-fermion operator matrix elements which does not involve quark masses and thus allows a reduction of systematic uncertainties. In order to simplify the matching between lattice and continuum…

High Energy Physics - Lattice · Physics 2009-10-31 A. Donini , V. Gimenez , L. Giusti , G. Martinelli

Quasi-PDFs provide a path toward an ab initio calculation of parton distribution functions (PDFs) using lattice QCD. One of the problems faced in calculations of quasi-PDFs is the renormalization of a nonlocal operator. By introducing an…

High Energy Physics - Lattice · Physics 2018-07-18 Jeremy Green , Karl Jansen , Fernanda Steffens

Rephasing invariants of quark and lepton mixing matrices are obtained in the standard model extended by the seesaw mechanism, and in its low-energy effective theory with the dimension-five Majorana mass operator. We classify the basic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Aneesh V. Manohar

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements of the variable flavor number scheme. Notably we deal with…

High Energy Physics - Phenomenology · Physics 2023-06-30 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Goedicke , A. von Manteuffel , C. Schneider , K. Schönwald

We consider the renormalisation of composite quark-antiquark operators with one and two lattice covariant derivatives related to the lowest moments of generalised parton distributions (GPDs) and meson distribution amplitudes (DAs). Their…

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