Neutrino dipole moments and charge radii in non-commutative space-time

Abstract

In this paper we obtain a bound ΛNC < ∼ 150 TeV on the scale of space-time noncommutativity considering photon-neutrino interactions. We compute "⋆-dipole moments" and "⋆-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 "⋆-charge radius" is found to be r * = | r 2 ν NC| = 3 3 i=1 (θ 0i ) 2 1/4 < ∼ 1.6 × 10 −19 cm at ΛNC = 150 TeV.

The standard model on non-commutative space-time: electroweak currents and the Higgs sector

“…It provides a systematic way to compute Lorentz violating operators that could be a signature of a (hypothetical) non-commutative space-time structure [9][10][11][12][13][14][15][16][17][18][19][20].…”

Quarkonia decays into two photons induced by space-time noncommutativity

“…; gg decays [6,14], neutrino astrophysics [15] and neutrino physics [16], as well as low-energy nonaccelerator experiments [17][18][19]. Note that the Lorentz violating operators considered in [17,18] do not appear in the NCSM [2 -8,14 -16] considered in this article.…”

Spacetime noncommutativity and ultrahigh energy cosmic ray experiments

“…Signatures of noncommutativity and/or the bounds on the NC scale come from neutrino astrophysics [16,29,30], cosmology [31,32], and from high energy particle physics [33][34][35], producing a scale of noncommutativity of the order of a few TeV. Typical low energy nonaccelerator experiments are the Lamb shift [36] and clock-comparison experiments [37].…”