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First moment of the flavour octet nucleon parton distribution function using lattice QCD

2015/01/15 by C. Alexandrou, Constantia Alexandrou, M. Constantinou +20
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.1501.03734

18 pages, 7 figures

openalex publication_date 2015/01/15 · arxiv created 2015/03/02 · arxiv updated 2015/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform a lattice computation of the flavour octet contribution to the average quark momentum in a nucleon, \la x\ra(8)μ2 = 4 \gev2. In particular, we fully take the disconnected contributions into account in our analysis for which we use a generalization of the technique developed in \citeDinter:2012tt. We investigate systematic effects with a particular emphasis on the excited states contamination. We find that in the renormalization free ratio \frac\la x \ra(3)\la x \ra(8) (with \la x \ra(3) the non-singlet moment) the excited state contributions cancel to a large extend making this ratio a promising candidate for a comparison to phenomenological analyses. Our final result for this ratio is in agreement with the phenomenological value and we find, including systematic errors, \frac\la x \ra(3)\la x \ra(8) = 0.39(1)(4).

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