Inelastic neutrino-nucleon scattering

Finally, we note that in the literature the inclusive cross-section (15.3.16) for eN e X is sometimes written in terms of and a  

The inclusive cross-section will be given by a formula closely analogous to (15.3.1) in which the following replacements must be made  

when we consider higher order corrections, G as used in this chapter should be thought of as shorthand for e /(4 /2sin ivM ). 

Finally, to complete our armoury, we need expressions for the cross-sections induced by antineutrinos as visualized in Fig. 15.7. The change required at the leptonic vertex was explained in Section 1.3.2. The propagator is unchanged, and at the hadronic vertex, for CC reactions, h+ — h— For NC reactions the hadronic vertex is unchanged. 

We end up therefore with expressions completely analogous to (15.4.4) and (15.4.7), in which the label v v and wherein 

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Fig. 15.6. F nman diagram for deep inelastic neutrino-nucleon scattering i N -+ (or i/)X.

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