Magnetic Dipole Moment of Neutrino
Author(s)
Samina S. Masood*
ABSTRACT
We recalculate the magnetic moment of neutrinos in a hot and dense medium. The magnetic dipole moment of neutrinos is modified at high temperature and chemical potential. We show that the magnetic dipole moment of electron neutrino does not get a significant contribution from thermal background to meet the cosmological bound. However, chemical potential contribution to the magnetic moment is non-ignorable even when chemical potential is an order of magnitude greater than the electron mass. It is demonstrated that this effect is more significant in the models with an extended Higgs sector through neutrino mixing.
We recalculate the magnetic moment of neutrinos in a hot and dense medium. The magnetic dipole moment of neutrinos is modified at high temperature and chemical potential. We show that the magnetic dipole moment of electron neutrino does not get a significant contribution from thermal background to meet the cosmological bound. However, chemical potential contribution to the magnetic moment is non-ignorable even when chemical potential is an order of magnitude greater than the electron mass. It is demonstrated that this effect is more significant in the models with an extended Higgs sector through neutrino mixing.
Cite this paper
Masood, S. (2015) Magnetic Dipole Moment of Neutrino. Journal of High Energy Physics, Gravitation and Cosmology, 1, 1-13. doi: 10.4236/jhepgc.2015.11001.
Masood, S. (2015) Magnetic Dipole Moment of Neutrino. Journal of High Energy Physics, Gravitation and Cosmology, 1, 1-13. doi: 10.4236/jhepgc.2015.11001.
References
[1] Mohapatra, R.N. and Pal, P.B. (1991) Massive Neutrinos in Physics and Astrophysics. World Scientific Publication. http://dx.doi.org/10.1142/1246 [2] Schechter, J. and Valle, W.F. (1981) Majorana Neutrinos and Magnetic Fields. Physical Review D, 24, 1883. http://dx.doi.org/10.1103/PhysRevD.24.1883 [3] Roberts, B.L. and Marciano, W.J., Eds. (2010) Lepton Dipole Moments. World Scientific.
http://www.worldscientific.com/worldscibooks/10.1142/7273 [4] Lee, B.W. and Shrock, R.E. (1977) Natural Suppression of Symmetry Violation in Gauge Theories: Muon- and Electron-Lepton-Number Nonconservation. Physical Review D, 16, 1444.
http://dx.doi.org/10.1103/PhysRevD.16.1444 [5] Masood, S.S. (1993) Neutrino Physics in Hot and Dense Media. Physical Review D, 48, 3250. http://dx.doi.org/10.1103/PhysRevD.48.3250 [6] Masood, S.S. (1995) Magnetic Moment of Neutrinos in the Statistical Background. Astroparticle Physics, 4, 189-194. http://dx.doi.org/10.1016/0927-6505(95)00031-4 [7] Kajita, T. (1999) Atmospheric Neutrino Results from Super-Kamiokande and Kamiokande—Evidence for νμ Oscillations. Nuclear Physics B—Proceedings Supplements, 77, 123-132. http://arxiv.org/pdf/hep-ex/9810001v1.pdf http://dx.doi.org/10.1016/S0920-5632(99)00407-7 [8] Koshiba, M. (1998) Kamiokande and Superkamiokande. Fifth School on Non-Accelerator Particle Astrophysics, Abdus Salam ICTP, Trieste, Italy. [9] http://www-sk.icrr.u-tokyo.ac.jp/whatsnew/DOC-20110615/KEK110613english.pdf [10] Babu, K.S. and Mathur, V.S. (1987) Magnetic Moments of Dirac and Majorana Neutrinos. Physics Letters B, 196, 218- 222. http://dx.doi.org/10.1016/0370-2693(87)90607-1 [11] Fukujita, M. and Yanagida, T. (1987) Particle-Physics Model for Voloshin-Vysotsky-Okun Solution to the Solar-Neutrino Problem. Physical Review Letters, 58, 1807.
http://dx.doi.org/10.1103/PhysRevLett.58.1807 [12] Landsman, P. and van Weert, Ch.G. (1987) Real-and Imaginary-Time Field Theory at Finite Temperature and Density. Physics Reports, 145, 141-249. http://dx.doi.org/10.1016/0370-1573(87)90121-9 [13] Ahmed, K. and Masood, S.S. (1987) Physical Review D, 35, 1861. [14] Ahmed, K. and Masood, S.S. (1987) Finite-Temperature and -Density Renormalization Effects in QED. Physical Review D, 35, 4020. http://dx.doi.org/10.1103/PhysRevD.35.4020 [15] Ahmed, K. and Masood, S.S. (1991) Vacuum Polarization at Finite Temperature and Density in QED. Annals of Physics, 164, 460-473. http://dx.doi.org/10.1016/0003-4916(91)90066-H [16] Masood, S.S. (1991) Photon Mass in the Classical Limit of Finite-Temperature and-Density QED. Physical Review D, 44, 3943. http://dx.doi.org/10.1103/PhysRevD.44.3943 [17] Masood, S.S. (1993) Renormalization of QED in Superdense Media. Physical Review D, 47, 648. http://dx.doi.org/10.1103/PhysRevD.47.648 [18] Masood, S.S. and Haseeb, M. (1995) Gluon Polarization at Finite Temperature and Density. Astroparticle Physics, 3, 405-412. [19] Perez-Martinez, A., et al. (2002) Effective Magnetic Moment of Neutrinos in Strong Magnetic Fields. Revista Mexicana De Fisica, 48, 501. [20] Levinson, E.J. and Boal, D.H. (1985) Self-Energy Corrections to Fermions in the Presence of a Thermal Background. Physical Review D, 31, 3280. http://dx.doi.org/10.1103/PhysRevD.31.3280 [21] Riotto, A. (1994) Thermal Background Corrections to the Neutrino Electromagnetic Vertex in Models with Charged Scalar Bosons. Physical Review D, 50, 2139-2147.
http://dx.doi.org/10.1103/PhysRevD.50.2139 [22] Kaplan, D.L., Kulkarni, S.R., van Kerkwijk, M.H., Rothschild, R.E., Lingenfelter, R.L., Marsden, D., et al. (2001) Hubble Space Telescope Observations of SGR 0526-66: New Constraints on Accretion and Magnetar Models. The Astrophysical Journal, 556, 399-407. http://dx.doi.org/10.1086/323516 [23] Aboubrahim, A., Ibrahim, T., Itani, A. and Nath, P. (2014) Large Neutrino Magnetic Dipole Moments in MSSM Extensions. Physical Review D, 89, Article ID: 055009.
http://dx.doi.org/10.1103/PhysRevD.89.055009 [24] Masood, S.S. (2014) Nucleosynthesis in Hot and Dense Media. Journal of Modern Physics, 5, 296-308. [25] Masood, S.S. (2014) Renormalization of QED near Decoupling Temperature. Physics Research International, 2014, Article ID: 489163. [26] Chaichian, M., Masood, S.S., Montonen, C., Pérez Martínez, A. and Pérez Rojas, H. (2000) Quantum Magnetic Collapse. Physical Review Letters, 84, 5261-5264.
http://dx.doi.org/10.1103/PhysRevLett.84.5261 [27] Masood, S.S. and Qader, M. (1992) Finite-Temperature and -Density Corrections to Electroweak Processes. Physical Review D, 46, 5110-5116. http://dx.doi.org/10.1103/PhysRevD.46.5110 [28] Masood, S.S. (2001) Scattering of Leptons in Hot and Dense Media. arXiv:hep-ph/0108126v2.
[1] Mohapatra, R.N. and Pal, P.B. (1991) Massive Neutrinos in Physics and Astrophysics. World Scientific Publication. http://dx.doi.org/10.1142/1246 [2] Schechter, J. and Valle, W.F. (1981) Majorana Neutrinos and Magnetic Fields. Physical Review D, 24, 1883. http://dx.doi.org/10.1103/PhysRevD.24.1883 [3] Roberts, B.L. and Marciano, W.J., Eds. (2010) Lepton Dipole Moments. World Scientific.
http://www.worldscientific.com/worldscibooks/10.1142/7273 [4] Lee, B.W. and Shrock, R.E. (1977) Natural Suppression of Symmetry Violation in Gauge Theories: Muon- and Electron-Lepton-Number Nonconservation. Physical Review D, 16, 1444.
http://dx.doi.org/10.1103/PhysRevD.16.1444 [5] Masood, S.S. (1993) Neutrino Physics in Hot and Dense Media. Physical Review D, 48, 3250. http://dx.doi.org/10.1103/PhysRevD.48.3250 [6] Masood, S.S. (1995) Magnetic Moment of Neutrinos in the Statistical Background. Astroparticle Physics, 4, 189-194. http://dx.doi.org/10.1016/0927-6505(95)00031-4 [7] Kajita, T. (1999) Atmospheric Neutrino Results from Super-Kamiokande and Kamiokande—Evidence for νμ Oscillations. Nuclear Physics B—Proceedings Supplements, 77, 123-132. http://arxiv.org/pdf/hep-ex/9810001v1.pdf http://dx.doi.org/10.1016/S0920-5632(99)00407-7 [8] Koshiba, M. (1998) Kamiokande and Superkamiokande. Fifth School on Non-Accelerator Particle Astrophysics, Abdus Salam ICTP, Trieste, Italy. [9] http://www-sk.icrr.u-tokyo.ac.jp/whatsnew/DOC-20110615/KEK110613english.pdf [10] Babu, K.S. and Mathur, V.S. (1987) Magnetic Moments of Dirac and Majorana Neutrinos. Physics Letters B, 196, 218- 222. http://dx.doi.org/10.1016/0370-2693(87)90607-1 [11] Fukujita, M. and Yanagida, T. (1987) Particle-Physics Model for Voloshin-Vysotsky-Okun Solution to the Solar-Neutrino Problem. Physical Review Letters, 58, 1807.
http://dx.doi.org/10.1103/PhysRevLett.58.1807 [12] Landsman, P. and van Weert, Ch.G. (1987) Real-and Imaginary-Time Field Theory at Finite Temperature and Density. Physics Reports, 145, 141-249. http://dx.doi.org/10.1016/0370-1573(87)90121-9 [13] Ahmed, K. and Masood, S.S. (1987) Physical Review D, 35, 1861. [14] Ahmed, K. and Masood, S.S. (1987) Finite-Temperature and -Density Renormalization Effects in QED. Physical Review D, 35, 4020. http://dx.doi.org/10.1103/PhysRevD.35.4020 [15] Ahmed, K. and Masood, S.S. (1991) Vacuum Polarization at Finite Temperature and Density in QED. Annals of Physics, 164, 460-473. http://dx.doi.org/10.1016/0003-4916(91)90066-H [16] Masood, S.S. (1991) Photon Mass in the Classical Limit of Finite-Temperature and-Density QED. Physical Review D, 44, 3943. http://dx.doi.org/10.1103/PhysRevD.44.3943 [17] Masood, S.S. (1993) Renormalization of QED in Superdense Media. Physical Review D, 47, 648. http://dx.doi.org/10.1103/PhysRevD.47.648 [18] Masood, S.S. and Haseeb, M. (1995) Gluon Polarization at Finite Temperature and Density. Astroparticle Physics, 3, 405-412. [19] Perez-Martinez, A., et al. (2002) Effective Magnetic Moment of Neutrinos in Strong Magnetic Fields. Revista Mexicana De Fisica, 48, 501. [20] Levinson, E.J. and Boal, D.H. (1985) Self-Energy Corrections to Fermions in the Presence of a Thermal Background. Physical Review D, 31, 3280. http://dx.doi.org/10.1103/PhysRevD.31.3280 [21] Riotto, A. (1994) Thermal Background Corrections to the Neutrino Electromagnetic Vertex in Models with Charged Scalar Bosons. Physical Review D, 50, 2139-2147.
http://dx.doi.org/10.1103/PhysRevD.50.2139 [22] Kaplan, D.L., Kulkarni, S.R., van Kerkwijk, M.H., Rothschild, R.E., Lingenfelter, R.L., Marsden, D., et al. (2001) Hubble Space Telescope Observations of SGR 0526-66: New Constraints on Accretion and Magnetar Models. The Astrophysical Journal, 556, 399-407. http://dx.doi.org/10.1086/323516 [23] Aboubrahim, A., Ibrahim, T., Itani, A. and Nath, P. (2014) Large Neutrino Magnetic Dipole Moments in MSSM Extensions. Physical Review D, 89, Article ID: 055009.
http://dx.doi.org/10.1103/PhysRevD.89.055009 [24] Masood, S.S. (2014) Nucleosynthesis in Hot and Dense Media. Journal of Modern Physics, 5, 296-308. [25] Masood, S.S. (2014) Renormalization of QED near Decoupling Temperature. Physics Research International, 2014, Article ID: 489163. [26] Chaichian, M., Masood, S.S., Montonen, C., Pérez Martínez, A. and Pérez Rojas, H. (2000) Quantum Magnetic Collapse. Physical Review Letters, 84, 5261-5264.
http://dx.doi.org/10.1103/PhysRevLett.84.5261 [27] Masood, S.S. and Qader, M. (1992) Finite-Temperature and -Density Corrections to Electroweak Processes. Physical Review D, 46, 5110-5116. http://dx.doi.org/10.1103/PhysRevD.46.5110 [28] Masood, S.S. (2001) Scattering of Leptons in Hot and Dense Media. arXiv:hep-ph/0108126v2.