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 < r 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 |< r 2 >| ＜ 6.0 × 10 -33 cm 2 , we place a bound on -7.9 × 10 -33 cm 2 ≤< r 2 > LR ≤ 7.9 × 10 -33 cm 2 . We discuss the relationship between the electron neutral couplings g Ve V and g Ve A and the LR model parameters. We also estimate a bound on the heavy massive neutral vector boson mass M ZR ＞ 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 v L e - → v R e - .
KeywordsWeak and Electromagnetic InteractionsNon-Standard-Model NeutrinosNeutral CurrentsElectromagnetic Form Factors
S. L. Glashow, “Partial Symmetries of Weak Interactions,” Nuclear Physics, Vol. 22, No. 4, 1961, pp. 579-588.
S. Weinberg, “A Model of Leptons,” Physical Review Letters, Vol. 19, No. 21, 1967, pp. 1264-1266.
N. Svartholm, “Elementary Particle Theory,” Almqvist and Wiskell, Stockholm, 1968.
B. Kayser, “Majorana Neutrinos and their Electromagnetic Properties,” Physical Review D, Vol. 26, No. 11, 1982, pp. 1662-1670. doi:10.1103/PhysRevD.26.1662
G. Degrassi, A. Sirlin and W. J. Marciano, “Effective Electromagnetic Form-Factor of the Neutrino,” Physical Review D, Vol. 39, No. 1, 1989, pp. 287-294. doi:10.1103/PhysRevD.39.287
J. L. Lucio, A. Rosado and A. Zepeda, “A Characteristic Size for the Neutrino,” Physical Review D, Vol. 31, No. 5, 1985, pp. 1091-1096. doi:10.1103/PhysRevD.31.1091
C. Giunti and A. Studenikin, “Neutrino Electromagnetic Properties,” Physics of Atomic Nuclei, Vol. 72, No. 12, 2009, pp. 2089-2125. doi:10.1134/S1063778809120126
K. J. F. Gaemers, R. Gandhi and J. M. Lattimer, “Neutrino Helicity Flips via Electroweak Interactions and SN1987a,” Physical Review D, Vol. 40, No. 5, 1989, pp. 309-314. doi:10.1103/PhysRevD.40.309
R. C. Allen, H. H. Chen, P. J. Doe, R. Hausammann, W. P. Lee, X. Q. Lu, H. J. Mahler and M. E. Potter, “Study of Electron-Neutrino Electron Elastic Scattering at LAMPF,” Physical Review D, Vol. 47, No. 1, 1993, pp. 11-28. doi:10.1103/PhysRevD.47.11
L. B. Auerbach, et al., “Measurement of Electron-Neutrino and Electron Elastic Scattering,” Physical Review D, Vol. 63, 2001, Article ID: 112001. doi:10.1103/PhysRevD.63.112001
P. Vilain, et al., “Experimental Study of Electromagnetic Properties of the Muon-Neutrino in Neutrino-Electron Scattering,” Physics Letters B, Vol. 345, No. 1, 1995, pp. 115-118. doi:10.1016/0370-2693(94)01678-6
A. S. Joshipura and S. Mohanty, “Bounds on Tau Neutrino Magnetic Moment and Charge Radius from Super-K and SNO Observations,” arXiv:hep-ph/0108018.
T. Toshito, “Super-Kamiokande Atmospheric Neutrino Results,” arXiv:hep-ex/0105023.
A. D. Dolgov, “Neutrinos in Cosmology,” Physics Reports, Vol. 370, No. 4-5, 2002, pp. 333-535. doi:10.1016/S0370-1573(02)00139-4
R. N. Mohapatra and P. B. Pal, “Massive Neutrinos in Physics and Astrophysics,” 3rd Edition, World Scientific, Singapore City, 2004. doi:10.1142/9789812562203
A. Cisneros, “Effect of Neutrino Magnetic Moment on Solar Neutrino Observations,” Astrophysics and Space Science, Vol. 10, No. 10, 1971, pp. 87-92. doi:10.1007/BF00654607
J. Pulido, “Solar Neutrinos with Magnetic Moment: Rates and Global Analysis,” Astroparticle Physics, Vol. 18, No. 2, 2002, pp. 173-181. doi:10.1016/S0927-6505(02)00106-8
J. Pulido and E. K. Akhmedov, “Resonance Spin Flavor Precession and Solar Neutrinos,” Astroparticle Physics, Vol. 13, No. 2-3, 2000, pp. 227-244. doi:10.1016/S0927-6505(99)00121-8
M. M. Guzzo and H. Nunokawa, “Current Status of the Resonant Spin Flavor Precession Solution to the Solar Neutrino Problem,” Astroparticle Physics, Vol. 12, No. 1-2, 1999, pp. 87-95. doi:10.1016/S0927-6505(99)00075-4
W. A. Bardeen, R. Gastmans and B. E. Lautrup, “Static Quantities in Weinberg’s Model of Weak and Electromagnetic Interactions,” Nuclear Physics B, Vol. 46, No. 1, 1972, pp. 319-331. doi:10.1016/0550-3213(72)90218-0
B. W. Lee and R. E. Shrock, “Natural Suppression of Symmetry Violation in Gauge Theories: Muon-Lepton and Electron Lepton Number Non-Conservation,” Physical Review D, Vol. 16, No. 5, 1977, pp. 1444-1473. doi:10.1103/PhysRevD.16.1444
J. Bernabeu, J. Papavassiliou and J. Vidal, “On the Observability of the Neutrino Charge Radius,” Physical Review Letters, Vol. 89, No. 2002, Article ID: 101802. doi:10.1103/PhysRevLett.89.101802
J. M. Cornwall and J. Papavassiliou, “Gauge Invariant Three-Gluon Vertex in QCD,” Physical Review D, Vol. 40, No. 10, 1989, pp. 3474-3485. doi:10.1103/PhysRevD.40.3474
J. C. Pati and A. Salam, “Lepton Number as the Fourth Color,” Physical Review D, Vol. 10, No. 1, 1974, pp. 275-289. doi:10.1103/PhysRevD.10.275
M. Czakon, J. Gluza and M. Zralek, “Low-Energy Physics and Left-Right Symmetry: Bounds and the Model Parameters,” Physics Letters B, Vol. 458, No. 2-3, 1999, pp. 355-360. doi:10.1016/S0370-2693(99)00567-5
G. C. Branco and J. Liu, “More on the Neutrino Magnetic Moment in Left-Right Models,” Physics Letters B, Vol. 210, No. 1-2, 1988, pp. 164-168. doi:10.1016/0370-2693(88)90366-8
V, Cerón, M. Maya, and O. G. Miranda, “Particles and Fields,” World Scientific, Singapore City, 1994.
Particle Data Group, C. Amsler, et al., “Review of Particle Physics,” Physics Letters B, Vol. 667, No. 1-5, 2008, p. 1
M. Hirsch, E. Nardi and D. Restrepo, “Bounds on the Tau and Muon Neutrino Vector and Axial Vector Charge Radius,” Physical Review D, Vol. 67, No. 3, 2003, Article ID: 033005. doi:10.1103/PhysRevD.67.033005
P. Vogel and J. Engel, “Neutrino Electromagnetic Form-Factors,” Physical Review D, Vol. 39, No. 11, 1989, pp. 3378-3383. doi:10.1103/PhysRevD.39.3378
J. Dorenbosch, et al., “Experimental Results on Neutrino-Electron Scattering,” Zeitschrift für Physik C: Particles and Fields, Vol. 41, No. 4, 1989, pp. 567-589. doi:10.1007/BF01564701
A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz and M. A. Perez, “Limits on the Electromagnetic and Weak Dipole Moments of the Tau-Lepton in E(6) Superstring Models,” International Journal of Modern Physics A, Vol. 22, No. 20, 2007, p. 3493.
A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz, M. A. Perez and F. Perez-Vargas, “Bounding the Number of Light Neutrinos Species in a Left-Right Symmetric Model,” hep-ph/ 0702076.
A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz, M. A. Perez and F. Perez-Vargas, “Constraints on Left-Right Symmetric and E(6) Superstring Models from the Number of Light Neutrino Species,” Modern Physics Letters A, Vol. 24, No. 2, 2009, p. 135.
O. Adriani, et al., “Search for a Z′ at the Z Resonance,” Physics Letters B, Vol. 306, No. 1-2, 1993, pp. 187-196. doi:10.1016/0370-2693(93)91156-H
M. Maya and O. G. Miranda, “Constraints on Z1-Z2 Mixing from the Decay Z1→e?e+ in the Left-Right Symmetric Model,” Zeitschrift für Physik C: Particles and Fields, Vol. 68, No. 3, 1995, pp. 481-484. doi:10.1007/BF01620725
J. Polak and M. Zralek, “Left-Right Symmetric Model Parameters: Updated Bounds,” Physical Review D, Vol. 46, No. 9, 1992, pp. 3871-3875. doi:10.1103/PhysRevD.46.3871
P. Salati, “The Laboratory and Astrophysical Constraints on the Neutrino Charge Radius,” Astroparticle Physics, Vol. 2, No. 3, 1994, pp. 269-290. doi:10.1016/0927-6505(94)90006-X
C. Broggini, “The MUNU Experiment on Low Energy Anti-Nu/E Scattering,” Nuclear Physics B—Proceedings Supplements, Vol. 110, No. 2, 2002, pp. 398-400. doi:10.1016/S0920-5632(02)80164-5
A. Ianni, D. Montanino and G. Scioscia, “Test of Non-Standard Neutrino Properties with the Borexino Source Experiments,” European Physical Journal C, Vol. 8, No. 4, 1999, pp. 609-617.
K. Fujikawa and R. Shrock, “The Magnetic Moment of a Massive Neutrino and Neutrino Spin Rotation,” Physical Review Letters, Vol. 45, No. 12, 1980, pp. 963-966. doi:10.1103/PhysRevLett.45.963
O. Lychkovskiy, “Neutrino Magnetic Moment Signatures in the Supernova Neutrino Signal,” Trudi 51oi Nauchnoi Konferencii MFTI, Chast II, Moscow-Dolgoprudny, 2008, p. 90 (in Russian).
A. V. Kuznetsov, N. V. Mikheev and A. A. Okrugin, “Reexamination of a Bound on the Dirac Neutrino Magnetic Moment from the Supernova Neutrino Luminosity,” Inter- national Journal of Modern Physics A, Vol. 24, No. 31, 2009, p. 5977. doi:10.1142/S0217751X09047612