Bounds on the Parameter of Noncommutativity from Supernova SN1987A

TL;DR

This paper uses observations from supernova SN1987A to establish new bounds on the noncommutativity parameter, indicating potential for detection at collider experiments and providing more reliable constraints than previous bounds.

Contribution

It derives the first bounds on the noncommutativity parameter from supernova data, improving the understanding of noncommutative standard model effects.

Findings

Excluded region for the NC-parameter: 1 TeV to 3.7 TeV

Bounds on $ h_{ ext{NC}}$ are more stringent than collider bounds

Potential to observe NC-effects at LHC or LEP

Abstract

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. The excluded region $1 TeV\lesssim\Lambda_{NC}\lesssim 3.7 TeV$ for the NC-parameter is obtained for the first time. In fact $\Lambda_{NC}\lesssim 1 TeV$ is consistent with the existing bounds on $\Lambda_{NC}$ and raises our hopes 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 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 $\lesssim\Lambda_{NC} $, therefore these bounds which are obtained from the energy scale considerably less than the energy scale of LEP and LHC are more reliable.