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Related papers: Higher-Twist Contribution to Pion Structure Functi…

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We evaluate the contribution of a class of higher-twist operators to the lowest moment of the Structure Functions, by computing appropriate matrix elements of six four-fermion operators in the quenched approximation. Their perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Göckeler , R. Horsley , B. Klaus , V. Linke , P. Rakow , A. Schäfer , G. Schierholz

We discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsuneo Uematsu

Nucleon matrix elements of various four-quark operators are evaluated in quenched lattice QCD using Wilson fermions. Some of these operators give rise to twist-four contributions to nucleon structure functions. Furthermore, they bear…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , B. Klaus , D. Pleiter , P. E. L. Rakow , S. Schaefer , A. Schäfer , G. Schierholz

A genuinely non-perturbative evaluation of higher-twist contributions to the structure functions of the nucleon, with all mixing effects and renormalon ambiguities taken care of, is presented. Higher-twist corrections turn out to be…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Capitani , M. Göckeler , R. Horsley , D. Petters , D. Pleiter , P. Rakow , G. Schierholz

We present calculations of matrix elements of 4-quark operators in the pion and in the nucleon extracted from quenched Monte Carlo simulations at beta = 6.0 using Wilson fermions. These operators are relevant for higher-twist effects. We…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , B. Klaus , W. Kurzinger , D. Petters , D. Pleiter , P. E. L. Rakow , S. Schaefer , A. Schafer , G. Schierholz

Our previous calculation of the spin-dependent structure function g_2 is revisited. The interest in this structure function is to a great extent motivated by the fact that it receives contributions from twist-two as well as from twist-three…

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

We present results for the nucleon structure functions and form factors obtained from 2+1 flavor lattice QCD with physical light quark masses ($m_{\pi}=135$ MeV) in a large spatial extent of about 10 fm. Our calculations are performed with…

High Energy Physics - Lattice · Physics 2022-01-03 Ryutaro Tsuji , Yasumichi Aoki , Ken-Ichi Ishikawa , Yoshinobu Kuramashi , Shoichi Sasaki , Eigo Shintani , Takeshi Yamazaki

Moments of generalised parton distributions can be related to off-forward matrix elements of local operators. We calculate a few of the leading twist matrix elements for the pion on the lattice. The simulations are performed using two…

High Energy Physics - Lattice · Physics 2008-11-26 D. Brömmel , M. Diehl , M. Göckeler , Ph. Hägler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , J. M. Zanotti

We report on a lattice computation of the second moment of the pion matrix element of the twist-2 non-singlet operator corresponding to the average momentum of parton densities. We apply a fully non-perturbatively evaluated running…

High Energy Physics - Lattice · Physics 2007-05-23 K. Jansen

We calculate the lower moments of the deep-inelastic structure functions of the pion and the rho meson on the lattice. Of particular interest to us are the spin-dependent structure functions of the rho. The calculations are done with Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 C. Best , M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , A. Schäfer , G. Schierholz , A. Schiller , S. Schramm

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

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

In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

High Energy Physics - Lattice · Physics 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

We present our result for the $K\to\pi\pi$ decay amplitudes for both the $\Delta I=1/2$ and $3/2$ processes with the improved Wilson fermion action. Expanding on the earlier works by Bernard {\it et al.} and by Donini {\it et al.}, we show…

High Energy Physics - Lattice · Physics 2015-10-14 N. Ishizuka , K. -I. Ishikawa , A. Ukawa , T. Yoshié

We present results towards the calculation of the pion electric form factor and structure function on a $16^3\times 24$ lattice using charge overlap. By sacrificing Fourier transform information in two directions, it is seen that the…

High Energy Physics - Lattice · Physics 2009-10-22 Walter Wilcox , B. Andersen-Pugh

We study the twist-4 contribution to the unpolarized nucleon structure functions, F_L and F_2, in an approach where the vacuum structure of QCD is described by a dilute medium of instantons ($\bar\rho / \bar R \ll 1$). The dominant power…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Dressler , M. Maul , C. Weiss

Our aim is to compute the lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon on the lattice. The theoretical basis of the calculation is the operator product expansion. To construct operators…

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

We give a continuum limit value of the lowest moment of a twist-2 operator in pion states from non-perturbative lattice calculations. We find that the non-perturbatively obtained renormalization group invariant matrix element is <x>_{RGI} =…

High Energy Physics - Lattice · Physics 2015-06-25 M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , A. Shindler , I. Wetzorke

Within the framework of quenched lattice QCD and using O(a) improved Wilson fermions and non-perturbative renormalisation, a high statistics computation of low moments of the unpolarised nucleon structure functions is given. Particular…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Göckeler , R. Horsley , D. Pleiter , P. E. L. Rakow , G. Schierholz

We investigate the nonperturbative renormalisation 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 present a new method to calculate moments of parton distribution functions of any order with lattice QCD computations. This method leverages the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators…

High Energy Physics - Lattice · Physics 2024-10-02 Andrea Shindler
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