Bounds on the Parameter of Noncommutativity from Supernova SN1987A

Understand

We consider supernova SN1987A to find bounds on parameter of noncommutativity, $\th_{\mu\nu}$.

• 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_{NC}=1/{\sqrt |\th|} $, with respect to escaping or trapping of the right handed neutrinos inside the supernova which are $\Lambda_{NC}\gtrsim 3.7 TeV$ or $\Lambda_{NC}\lesssim 1 TeV$, respectively.