Neutrino dipole moments and charge radii in noncommutative space-time

Abstract

In this paper we obtain a bound ${\Lambda }_{\mathrm{NC}}<150$ TeV on the scale of space-time noncommutativity considering photon-neutrino interactions. We compute "star-dipole moments" and "star-charge radii" originating from space-time noncommutativity and compare them with the dipole moments calculated in the neutrino-mass extended standard model (SM). The computation depends on the nature of the neutrinos, Dirac versus Majorana, their mass and the energy scale. We focus on Majorana neutrinos. The "star-charge radius" is found to be $r^{\ast }=\sqrt{|<r_{\nu }^2{>}_{\mathrm{NC}}|}=|3{\sum }_{i=1}^3({\theta }^{0i}{)}^2{|}^{1/4}<1.6\times 10^{-19}$ cm at ${\Lambda }_{\mathrm{NC}}=150$ TeV.

6 pages; v2: references added, major revisions, much higher bound on NC scale obtained; v3: electromagnetic properties of neutrino in neutrino-mass extended Standard Model discussed in detail, presentation and Title improved

Cited by in corpus (1)

• Non-Commutative Extensions of the Standard Model