# Bounds on the Parameter of Noncommutativity from Supernova SN1987A - High Energy Physics - Phenomenology

Abstract: We consider supernova SN1987A to find bounds on parameter ofnoncommutativity, $\th {\mu u}$. Right handed neutrino in the noncommutativestandard model, NCSM, can directly couple to the photon and the Z-gauge boson.Therefore the observed flux of neutrinos from SN1987A can constrain thestrength of the new couplings in the NCSM. We obtain two bounds on theNC-parameter, $\Lambda {NC}=1-{\sqrt |\th|}$, with respect to escaping ortrapping of the right handed neutrinos inside the supernova which are$\Lambda {NC}\gtrsim 3.7 TeV$ or $\Lambda {NC}\lesssim 1 TeV$, respectively.The excluded region $1 TeV\lesssim\Lambda {NC}\lesssim 3.7 TeV$ for theNC-parameter is obtained for the first time. In fact $\Lambda {NC}\lesssim 1TeV$ is consistent with the existing bounds on $\Lambda {NC}$ and raises ourhopes to find the NC-effects in the LHC or even in the LEP. Meanwhile$\Lambda {NC}\gtrsim 3.7 TeV$ is more stringent than the other bounds obtainedfrom LEP and LHC considerations. Furthermore, since NC-calculations areperturbative and are correct only up to the energy scale of the NC-system$\lesssim\Lambda {NC}$, therefore these bounds which are obtained from theenergy scale considerably less than the energy scale of LEP and LHC are morereliable.

Author: Mansour Haghighat

Source: https://arxiv.org/