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First moment of the flavour octet nucleon parton distribution function using lattice QCD
Alexandrou, Constantia Constantinou, Martha Dinter, Simon Drach, Vincent Hadjiyiannakou, Kyriakos Jansen, Karl Koutsou, Giannis Vaquero, Alejandro
Alexandrou, Constantia
Constantinou, Martha
Dinter, Simon
Drach, Vincent
Hadjiyiannakou, Kyriakos
Jansen, Karl
Koutsou, Giannis
Vaquero, Alejandro
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2015-06-11
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10.1007/JHEP06(2015)068
Abstract
We perform a lattice computation of the flavour octet contribution to the
average quark momentum in a nucleon, $\la x\ra^{(8)}_{\mu^2 = 4 \gev^2}$. In
particular, we fully take the disconnected contributions into account in our
analysis for which we use a generalization of the technique developed in
\cite{Dinter: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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JOURNAL OF HIGH ENERGY PHYSICS
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