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The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
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The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
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In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for factorizing lattice QCD calculable matrix elements. Our findings are also compared with the pertinent phenomenological determinations. Inter alia, we are employing the summation Generalized Eigenvalue Problem (sGEVP) technique in order to optimize our control over the excited state contamination which can be one of the most serious systematic errors in this type of calculations. A crucial novel ingredient of our analysis is the parameterization of systematic errors using Jacobi polynomials to characterize and remove both lattice spacing and higher twist contaminations, as well as the leading twist distribution. This method can be expanded in further studies to remove all other systematic errors.
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Cited by 1 Pith paper
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Parton distribution functions from lattice QCD
A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.
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