1995/06/14 by Giuseppe Beccarini, Massimo Bianchi, Stefano Capitani +1 · 2 citations
Mathematics · Physics and Astronomy · #Computation #Deep inelastic scattering #High-Energy Particle Collisions Research #Inelastic scattering #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Renormalization #Scattering #Statistical physics #hep-lat #hep-ph
paper · pdf · doi:10.1016/0550-3213(95)00502-5
published as Nucl.Phys. B456 (1995) 271-295 · 30 pages, latex + elsart + feynman (complete postscript file available upon request to [email protected]); submitted to Nuclear Physics B
arxiv created 1995/06/14 · openalex publication_date 1995/12/01 · arxiv updated 2016/09/01 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/05
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.