Purely leptonic reactions: calculated total cross sectionsNeutrinos interact only by the weak force: hence the reaction cross sections are much smaller than those of other particle species. For electron neutrinos the elastic scattering with electrons can be mediated by charged and neutral weak bosons (W and Z), whereas the scattering of muon and tau neutrinos from electrons is mediated only by the neutral boson. Hence the differences of the total cross sections.
The inelastic scattering processes are caused only by the charged currents.
The cross section formulae for tau neutrinos are the same as for muon neutrinos.
Neutrino reactions with nucleons and nucleiThe cross sections for neutrino-nucleon scatterings are not so precisely known as for leptonic reactions. This is due to the poor theoretical knowledge of the nucleon form factors.
Neutrino-nucleon inelastic cross sections:
For energies < 1 GeV:
At low energies the neutrino-nucleon cross sections acquire the
following form, where Q = 1.3 MeV is the nucleon mass difference and
theta(E-Q) is just the threshold function:
For very high energies (50 GeV < E < 250 GeV) the neutrino-nucleon inclusive cross sections are approximately:
For energies around 1...10 GeV the cross sections are not so accurately
These are valid for all neutrino species.
For more detailed cross section information (differential cross sections, etc.) see Appendix chapter 4.3.2.
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