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Related papers: Calculation of Moments of Structure Functions

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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 review our progress on the lattice calculation of low moments of both the unpolarised and polarised nucleon structure functions.

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

Using unimproved and non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , D. Pleiter , P. Rakow , H. Stuben , G. Schierholz

We have initiated a programme to compute the lower moments of the unpolarised and polarised deep inelastic structure functions of the nucleon in the quenched approximation. We review our progress to date.

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

Some aspects of recent QCDSF-UKQCD nucleon moments of structure function computations (both quenched and unquenched) are reviewed in an effort to explore the light quark mass regime, lattice spacing effects and quenching artefacts.

High Energy Physics - Lattice · Physics 2007-05-23 R. Horsley

The lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon are calculated on the lattice. The calculation is done with Wilson fermions and for three values of the hopping parameter $\kappa$, so that…

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

We present a quenched lattice QCD calculation of the first few moments of the polarized and un-polarized structure functions of the nucleon. Our calculations are done using domain wall fermions and the DBW2 gauge action with inverse lattice…

High Energy Physics - Lattice · Physics 2011-08-11 Kostas Orginos , Thomas Blum , Shigemi Ohta

Preliminary results are presented in our program to calculate low moments of structure functions for the proton and neutron on a $24^3\times32$ lattice at $\beta=6.2$. A comparison is made for a variety of smeared nucleon sources and…

High Energy Physics - Lattice · Physics 2008-11-26 R. C. Brower , S. Huang , J. W. Negele , A. Pochinsky , B. Schreiber

We compute the lowest moments of the nucleon's structure functions using quenched overlap fermions at two different lattice spacings. The renormalisation is done nonperturbatively in the RI'-MOM-scheme.

High Energy Physics - Lattice · Physics 2008-11-26 D. Galletly , M. Gürtler , R. Horsley , K. Koller , V. Linke , P. E. L. Rakow , C. J. Roberts , G. Schierholz , T. Streuer

We report on recent results of a high statistics lattice calculation of the unpolarized and polarized structure functions of the nucleon.

High Energy Physics - Lattice · Physics 2008-02-03 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Oelrich , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We review the calculation of moments of both the polarized and unpolarized parton distribution functions of the nucleon in lattice QCD, and in particular their extrapolation to the physical region. We also discuss the reconstruction of the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas

We highlight QCDSF/UKQCD Collaboration's recent developments on computing the Compton amplitude directly via an implementation of the second order Feynman-Hellmann theorem. As an application, we compute the nucleon Compton tensor across a…

High Energy Physics - Lattice · Physics 2021-10-05 K. U. Can , A. Hannaford-Gunn , E. Sankey , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stuben , R. D. Young , J. M. Zanotti

Results for nucleon matrix elements (arising from moments of structure functions) and form factors from a mixture of runs using Wilson, clover and overlap fermions (both quenched and unquenched) are presented and compared in an effort to…

We describe a high statistics quenched QCD calculation of the moments of the polarized deep-inelastic structure functions g_1 and g_2 of the proton and neutron.

High Energy Physics - Lattice · Physics 2007-05-23 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

Lattice QCD allows computations of moments of structure functions from first principles. An overview of the present status of the calculations is given. Recent results and future perspectives are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Capitani

We report on our on-going study of the lower moments of iso-vector polarised and unpolarised structure functions, $g_A$ and $\langle x\rangle_{u-d}$, respectively, and the iso-vector scalar and tensor charge, for $N_f=2$ non-perturbatively…

High Energy Physics - Lattice · Physics 2013-11-28 G. S. Bali , S. Collins , B. Gläßle , M. Göckeler , J. Najjar , R. Rödl , A. Schäfer , R. Schiel , A. Sternbeck , W. Söldner

A review of recent lattice calculations of nucleon structure and matrix elements of operators in nucleons is presented. It primarily covers developments in the calculation of the matrix elements of the scalar, tensor, pseudo-scalar,…

High Energy Physics - Lattice · Physics 2020-03-20 Tanmoy Bhattacharya , Rajan Gupta , Boram Yoon

In this work, I report the latest lattice QCD calculations of nucleon and hyperon structure from chiral fermions in 2+1-flavor dynamical simulations. All calculations are done with a chirally symmetric fermion action, domain-wall fermions,…

High Energy Physics - Lattice · Physics 2007-07-27 Huey-Wen Lin

We give a brief sketch of lattice structure function calculations and review previous results for the axial coupling $g_A$. We outline a new technique for treating fermions on the lattice that preserves chiral symmetry, domain wall…

High Energy Physics - Lattice · Physics 2007-05-23 T. Blum , S. Sasaki

The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated…

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