Localizability of Tachyonic Particles and Neutrinoless Double Beta Decay

The quantum field theory of superluminal (tachyonic) particles is plagued with a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation operators under Lorentz transformations, and the necessity of a complex reinterpretation principle for quantum processes. Another unsolved question concerns the treatment of subluminal components of a tachyonic wave packets in the field-theoretical formalism, and the calculation of the time-ordered propagator. After a brief discussion on related problems, we conclude that rather painful choices have to be made in order to incorporate tachyonic spin-1/2 particles into field theory. We argue that the field theory needs to be formulated such as to allow for localizable tachyonic particles, even if that means that a slight unitarity violation is introduced into the S matrix, and we write down field operators with unrestricted momenta. We find that once these choices have been made, the propagator for the neutrino field can be given in a compact form, and the left-handedness of the neutrino as well as the right-handedness of the antineutrino follow naturally. Consequences for neutrinoless double beta decay and superluminal propagation of neutrinos are briefly discussed.Comment: 12 pages, 5 figure

SN1987A and the properties of neutrino burst

We reanalyze the neutrino events from SN1987A in IMB and Kamiokande-II (KII) detectors, and compare them with the expectations from simple theoretical models of the neutrino emission. In both detectors the angular distributions are peaked in the forward direction, and the average cosines are 2 sigma above the expected values. Furthermore, the average energy in KII is low if compared with the expectations; but, as we show, the assumption that a few (probably one) events at KII have been caused by elastic scattering is not in contrast with the 'standard' picture of the collapse and yields a more satisfactory distributions in angle and (marginally) in energy. The observations give useful information on the astrophysical parameters of the collapse: in our evaluations, the mean energy of electron antineutrinos is =12-16 MeV, the total energy radiated around (2-3)*1.E53 erg, and there is a hint for a relatively large radiation of non-electronic neutrino species. These properties of the neutrino burst are not in disagreement with those suggested by the current theoretical paradigm, but the data leave wide space to non-standard pictures, especially when neutrino oscillations are included.Comment: 14 pages, 5 figure

Measurement of muon charge ratio with the Large Volume Detector

The value of ${\mu^+/\mu^-}$ ratio for atmospheric muons has been measured with the Large Volume Detector, (LVD) at the INFN Gran Sasso National Laboratory, Italy (minimal depth is 3000 m w.e.). To reach this depth muons should have an energy at the sea level higher than 1.3 TeV. The muon charge is determined studying the decay of stopping positive muons in the LVD iron structure and the decay of stopping positive and negative muons in scintillator. We obtain a ratio ${R = 1.26 \pm 0.04(stat) \pm 0.11(sys)}$