Bounds on the parameter of noncommutativity from supernova SN1987A

Abstract

We consider supernova SN1987A to find bounds on the parameter of noncommutativity, {theta}{sub {mu}}{sub {nu}}. The right-handed neutrino in the noncommutative standard model (NCSM) can directly couple to the photon and the Z-gauge boson. Therefore the observed flux of neutrinos from SN1987A can constrain the strength of the new couplings in the NCSM. We obtain two bounds on the NC-parameter, {lambda}{sub NC}=1/{radical}(|){theta}|, with respect to escaping or trapping of the right-handed neutrinos inside the supernova which are {lambda}{sub NC} > or approx. 3.7 TeV or {lambda}{sub NC} or approx. 3.7 TeV is more stringent than the other bounds obtained from LEP and LHC considerations. Furthermore, since NC calculations are perturbative and are correct only up to the energy scale of the NC system < or approx. {lambda}{sub NC}, then thesemore » bounds (which are obtained from the energy scale and considerably less than the energy scale of LEP and LHC) are more reliable.« less