The Parton Structure of the Nucleon and Precision Determination of the Weinberg Angle in Neutrino Scattering

Abstract

A recently completed next-to-leading-order program to calculate neutrino cross sections, including power-suppressed mass correction terms, has been applied to evaluate the Paschos-Wolfenstein relation, in order to quantitatively assess the validity and significance of the NuTeV anomaly. In particular, we study the shift of ${\sin }^2{\theta }_{\mathrm{W}}$ obtained in calculations with a new generation of PDF sets that allow $s(x)\ne \bar{s}(x)$, enabled by recent neutrino dimuon data from CCFR and NuTeV, as compared to the previous $s=\bar{s}$ parton distribution functions like CTEQ6M. The extracted value of ${\sin }^2{\theta }_{\mathrm{W}}$ is closely correlated with the strangeness asymmetry momentum integral ${\int }_0^{1}x[s(x)-\bar{s}(x)]dx$. We also consider isospin violating effects that have recently been explored by the MRST group. The results of our study suggest that the new dimuon data, the Weinberg angle measurement, and other data sets used in global QCD parton structure analysis can all be consistent within the Standard Model.

arXiv comment4 pages

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• Implications of a new light gauge boson for neutrino physics
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• Analytic Estimates of the QCD Corrections to Neutrino-Nucleus Scattering
• Signals of Unparticles in Low Energy Parity Violation and NuTeV Experiment
• Nuclear modification difference between u_v and d_v distributions and its relation to NuTeV sin^2 theta_W anomaly
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• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Effects of nuclear medium and nonisoscalarity in extracting $si{n}^2{\theta }_W$ using Paschos-Wolfenstein relation
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• Influence of Heavy Quark Recombination on the Nucleon Strangeness Asymmetry
• Probing nucleon strange asymmetry from charm production in neutrino deep inelastic scattering
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• Status of Global QCD Analysis and the Parton Structure of the Nucleon
• Connected and Disconnected Sea Partons from CT18 Parametrization of PDFs
• The leading particle effect from light quark fragmentation in charm hadroproduction
• Possible Explanations for the NuTeV Weinberg Angle Measurement
• Effect due to charge symmetry violation on the Paschos-Wolfenstein relation
• Relations Between NC and CC Neutrino Structure Functions for Nucleons and Nuclei
• Deep inelastic neutrino interactions
• The Experimental Status of the Standard Electroweak Model at the End of the LEP-SLC Era
• Constraints on Parton Charge Symmetry and Implications for Neutrino Reactions
• The influence of direct $D$-meson production to the determination on the nucleon strangeness asymmetry via dimuon events in neutrino experiments