Neutrino mixing effects on the tau-neutrino mass limit

We point out that the usual experimental upper bounds on the ''tau-neutrino mass'' do not apply if neutrino mixing is considered. The suppression of the population of the tau decay spectrum near the end point, caused by mixing, may be compensated by an enhancement because of a resonant mechanism of hadronization. It is necessary therefore to analyze the whole spectrum to infer some limit to the '' tau-neutrino mass.'' We argue that, consequently, neutrino mixing evades the objection to interpret the KARMEN anomaly as a heavy sequential neutrino.

A new limit of the AdS(5) x S-5 sigma model

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS(5) X S-5 background with manifest PSU(2,2 vertical bar 4) invariance. The PSU(2,2 vertical bar 4) metric g(AB) has both vector components gab and spinor components g, 3, and in the limit where the spinor components g, 3 are taken to infinity, the AdS5 X S5 sigma model reduces to the worldsheet action in a flat background. In this paper, we instead consider the limit where the vector components g(ab) are taken to infinity. In this limit, the AdS5 X S5 sigma model simplifies to a topological A-model constructed from fermionic N=2 superfields whose bosonic components transform like twistor variables. Just as d=3 Chern-Simons theory can be described by the open string sector of a topological A-model, the open string sector of this topological A-model describes d=4 N=4 super-Yang-Mills. These results might be useful for constructing a worldsheet proof of the Maldacena conjecture analogous to the Gopakumar-Vafa-Ooguri worldsheet proof of Chern-Simons/conifold duality.

Limit on gamma(pi-0-]nu-nu-bar) from SN1987A

We consider the possible neutrino emission from SN1987A generated through the process γγ→π0→νν, which is permitted when the neutrinos have a right-handed component. This energy-loss mechanism is consistent with the supernova neutrino observations if the decay rate I (π0→νν̄) < (0.15-6.3) × 10-13 eV. When the reaction π0→νν̄ is mediated by weak gauge bosons the limit on the decay rate allows us to obtain constraints on neutrino masses, mv<5-27 keV, depending on the core temperature.