Abstract
In this work the neutral-current scattering cross-section for neutrinos on electrons is calculated assuming that a massive Dirac neutrino is characterized by a phenomenological parameters, a charge radius 2> and the right-handed currents are present in the framework of a Left-Right symmetric model (LR). Using the CHARM II result for the charge radius of the muon-neutrino |2>|＜6.0×10-33cm2, we place a bound on -7.9×10-33cm2≤2>LR≤7.9×10-33cm2. We discuss the relationship between the electron neutral couplings gVeV and gVeA and the LR model parameters. We also estimate a bound on the heavy massive neutral vector boson mass MZR＞650GeV of the LR model. These results have never been reported in the literature before and could have practical or theoretical interest, such as in the case of the neutrinos produced in core-collapse supernova explosions, that is to say, right-handed Dirac neutrinos emission from supernova core vLe-→vRe-.
Highlights
In the framework of the Standard Model (SM) [1,2,3] neutrinos are assumed to be electrically neutral, the electromagnetic properties of the neutrino are discussed in many gauge theories beyond the SM
We present the numerical results obtained for the charge radius of the muon-neutrino in the framework of a Left-Right symmetric model r2, the electron couplings constants gV e LR and g Ae LR and of the mass of the heavy massive neutral vector boson M ZR
The dashed line shows the allowed region for r 2, while the dotted line shows the same result for the LR model
Summary
In the framework of the Standard Model (SM) [1,2,3] neutrinos are assumed to be electrically neutral, the electromagnetic properties of the neutrino are discussed in many gauge theories beyond the SM. Experimental evidence for neutrino flavor transformation [13] implies that neutrinos are the first elementary particles whose properties cannot be fully described within the SM This hints to the possibility that other properties of these intriguing particles might substantially deviate from the predictions of the SM. We start from a Left-Right symmetric model (LR) [24] and assuming that a massive Dirac neutrino is characterized by a phenomenological parameter, a charge radius r 2 we calculate the cross-section of the process e e. For an analysis of the electromagnetic form factors of the neutrino from a theoretical point of view in Left-Right models, see [26].
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