Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions

Details Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions

1995-06-14

arxiv.org/abs/hep-lat/9506021v1

Nucl.Phys. B456 (1995) 271-295

Physics

High Energy Physics

High Energy Physics - Lattice

30 pages, latex + elsart + feynman (complete postscript file available upon request to capitani@vxrm70.roma1.infn.it); submitt

Scientific paper

10.1016/0550-3213(95)00502-5

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 Deep Inelastic Scattering (DIS) structure functions. We have employed in our calculations the nearest-neighbor improved ``clover-leaf'' lattice QCD action. The interest of using this action in Monte Carlo simulations lies in the fact that all terms which in the continuum limit are effectively of order $a$ ($a$ being the lattice spacing) have been demonstrated to be absent from on-shell hadronic lattice matrix elements. We have limited our computations to the quenched case, in which quark operators do not mix with gluon operators. We have studied the transformation properties under the hypercubic group of the operators up to the rank five (which are related to moments up to the fourth of DIS structure functions), and we discuss the choice of the operators considered in this paper together with the feasibility of lattice computations for operators of higher ranks. To perform the huge amount of calculations required for the evaluation of all the relevant Feynman diagrams, we have extensively used the symbolic manipulation languages Schoonschip and Form.

Affiliated with

Also associated with

No associations

Rating

Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deep Inelastic Scattering in Improved Lattice QCD. II. The second moment of structure functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665747