Assuming a general nonderivative point interaction, and Born approximation, the angular distributions for neutrino scatterings by electrons are written, using only simple considerations, allowing all leptons to have nonzero mass. Our distributions have been previously obtained for some special cases
On some tests of the basic properties of the neutral weak interaction. I. With massless neutrinos
✍ Scribed by G.V Dass; P.Ram Babu
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 861 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
We consider the Born approximation scattering, by electrons, of neutrinos (and antineutrinos) of the muon and of the electron types; the general Lagrangian respecting lepton locality is used. Throughout, we study only differential cross sections as the experimental observables. Some tests previously proposed for "neutrino identity" or Lorentz structure of the neutral weak interaction are reexamined. We find that, in general, these relations cannot uniquely answer the question of Lorentz structure. Similarly, in general, one cannot estblish whether the tinal neutral lepton is completely identical with, or "partly identical" with, or completely different from, the initial neutrino; identity allows a difference in helicity. In several experimental situations, one can exclude the possibility of a complete non-identity. In one experimental situation, assuming pe universality, one can establish that the final and the initial neutrinos are completely identical, even in their helicity. "Does an interference between neutral currents and the (V-A) charged current exist in v, e '-) -scattering ?" Certain tests can answer this question completely if pe universality is assumed. Without Fe universality, the answer is "destructive interference" if an observable (A,) turns out to be less than 4; A, = 4 would exclude a constructive interference. Assuming neutrino identity, time-reversal invariance for the helicity flipping types (S, P, T), and ye universality, certain simple combinations of observables were previously noted to determine the (V, A) neutral interaction couplings of the neutrino to the electron. With our general formalism, that determination is seen not to require the first two assumptions. Also, the couplings concerned are seen to be only the "diagonal" ones-which refer to that part of the final state in which the final neutrino is identical with the iniitial one. Keeping in view a recent experimental situation, the following question is answered: "When will the lack of enough events for Fe-scattering (or, similarly, ve-scattering) become a threat to lepton locality ?" Some additional consequences of pe universality are noted.
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