We compute the asymmetry in the proton in chiral effective theory, using phenomenological constraints based upon existing data. Unlike previous meson cloud model calculations, which accounted for kaon loop contributions with on-shell intermediate states alone, this work includes off-shell terms and contact interactions, which impact the shape of the difference. We identify a valence-like component of s(x) which is balanced by a δ -function contribution to at ddafeb5abea74dbf488dd" title="Click to view the MathML source">x=0, so that the integrals of s and over the experimentally accessible region x>0 are not equal. Using a regularization procedure that preserves chiral symmetry and Lorentz invariance, we find that existing data limit the integrated value of the second moment of the asymmetry to the range at a scale of Q2=1 GeV2. This is too small to account for the NuTeV anomaly and of the wrong sign to enhance it.
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