The paper contends that the momentum sum rule is not valid for nuclear parton distribution functions because the operator product expansion fails for nuclear targets.
Nuclear Antishadowing in Neutrino Deep Inelastic Scattering
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abstract
The shadowing and antishadowing of nuclear structure functions in the Gribov-Glauber picture is due respectively to the destructive and constructive interference of amplitudes arising from the multiple-scattering of quarks in the nucleus. The effective quark-nucleon scattering amplitude includes Pomeron and Odderon contributions from multi-gluon exchange as well as Reggeon quark-exchange contributions. We show that the coherence of these multiscattering nuclear processes leads to shadowing and antishadowing of the electromagnetic nuclear structure functions in agreement with measurements. This picture leads to substantially different antishadowing for charged and neutral current reactions, thus affecting the extraction of the weak-mixing angle $\theta_W$. We find that part of the anomalous NuTeV result for $\theta_W$ could be due to the nonuniversality of nuclear antishadowing for charged and neutral currents. Detailed measurements of the nuclear dependence of individual quark structure functions are thus needed to establish the distinctive phenomenology of shadowing and antishadowing and to make the NuTeV results definitive.
fields
hep-ph 1years
2019 1verdicts
REJECT 1representative citing papers
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Is the Momentum Sum Rule Valid for Nuclear Structure Functions ?
The paper contends that the momentum sum rule is not valid for nuclear parton distribution functions because the operator product expansion fails for nuclear targets.