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Neutrino dipole moments and charge radii in non-commutative space-time
Authors:Minkowski  P  Schupp  P  Trampeti?  J
Institution:(1) Theory Division, CERN, 1211 Geneva 23, Switzerland;(2) Institute for Theoretical Physics, University of Bern, 3012 Bern, Switzerland;(3) International University Bremen, Campus Ring 8, 28759 Bremen, Germany;(4) Theoretical Physics Division, Rudjer Boscaronkovicacute Institute, Zagreb, Croatia;(5) Theoretische Physik, Universität München, Theresienstr. 37, 80333 München, Germany
Abstract:In this paper we obtain a bound $\Lambda_{\mathrm {NC}}\stackrel{ < }{\sim} 150 $ TeV on the scale of space-time non-commutativity considering photon-neutrino interactions. We compute ldquo*-dipole momentsrdquo and ldquo*-charge radiirdquo originating from space-time non-commutativity 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 ldquo*-charge radiusrdquo is found to be  $r^* = \sqrt{|\langle r^2_{\nu}\rangle_{\mathrm {NC}}|}=\left|3\sum_{i=1}^3 
 ({\theta}^{0i})^2\right|^{1/4} 
 \stackrel{<}{\sim} 1.6 \times 10^{-19}\, {\mathrm {cm}}$ at $\Lambda_{\mathrm {NC}} = 150$ TeV.Received: 17 June 2004, Published online: 18 August 2004
Keywords:
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