Abstract
The comparison between the muon and the neutrino as probes of the nucleon structure is presented. The prediction of the structure functions, quark distributions, leptonic currents, and cross section led us to obtain some of the features of the electro-weak interactions in the deep inelastic scattering. A perturbation technique is used to evaluate the leptonic current that is assumed to be a complex quantity. The imaginary part of which represents the rate of absorption. On the other hand, the quarks wave functions forming the nucleon are extracted from experimental data for neutrino-nucleon and muon-nucleon collisions. A numerical technique is applied to analyze the data of the experiments CERN-NA-2 and CERN-WA25, to evaluate the quark functions and hence to calculate the hadronic current. It is found that the quark distribution functions predicted by the muon as a probe is slightly shifted up compared with that of the neutrino. Finally, the differential cross section is calculated in terms of leptonic and hadronic currents.
Highlights
Electroweak measurements are a very important part of the physics program targeting the measurement of electroweak precision observables [1]
We use the data of the experiment CERN-WA25 [14] for finding the parametric forms of structure functions F2 and F3 in the variables, Bjorken scale x, and the square of momentum transfer Q2
We will apply an empirical method to determine the quark functions for (u & d) and their antiquarks in terms of the structure functions F2(x) and xF3(x) that were extracted from the neutrino deep inelastic scattering experiments
Summary
Electroweak measurements are a very important part of the physics program targeting the measurement of electroweak precision observables [1]. The study of structure functions of the nucleon offers a unique window on the internal quark structure of stable baryons. This provides insight into the two defining features of QCD. Quark distributions at large x are a crucial input for estimating backgrounds in searches for new physics beyond the Standard Model at high energy colliders. From this point of view, we are looking forward to use the data of muon (as electroweak particle) and neutrino (as weak particle) to probe the structure of the nucleon.
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