Effects of nuclear medium and nonisoscalarity in extracting $si{n}^2{\theta }_W$ using Paschos-Wolfenstein relation

Abstract

We study the nuclear medium effects and nonisoscalarity correction in the extraction of weak mixing angle sin${}^2{\theta }_W$ using Paschos-Wolfenstein (PW) relation. The calculations are performed for the iron nucleus. The results are discussed along with the experimental result inferred by NuTeV collaboration. The nuclear medium effects like Fermi motion, binding, shadowing and antishadowing corrections and pion and rho meson cloud contributions have been taken into account. Calculations have been performed in the local density approximation using a relativistic nuclear spectral function which includes nucleon correlations. These studies may be useful for the ongoing MINER$\nu$A experiment as well as for the proposed NuSOnG experiment.

31 pages, 6 figures. Accepted version to be published in Phys. Rev. C

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• Nuclear medium effects in structure functions of nucleon at moderate $Q^2$
• Parity violating asymmetry with nuclear medium effects in deep inelastic $\vec{e}$ scattering
• Nuclear medium effects in lepton-nucleus DIS in the region of $x\gtrsim 1$