Abstract
We study the simultaneous interaction of a neutrino with matter and the electromagnetic field in the two-flavor model. We show that \(T\)-invariance violating terms can appear in the probabilities of not only spin-flip transitions but also flavor transitions between states with the same helicity in the case of the interaction via charged currents.
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References
A. D. Sakharov, “Violation of CP in variance, C asymmetry, and baryon asymmetry of the universe,” Sov. Phys. Usp., 34, 392–393 (1991).
M. Kobayashi and T. Maskawa, “\(CP\)-violation in the renormalizable theory of weak interaction,” Prog. Theor. Phys., 49, 652–657 (1973).
C. Jarlskog, “A basis independent formulation of the connection between quark mass matrices, CP violation and experiment,” Z. Physik C, 29, 491–497 (1985).
M. Fukugita and T. Yanagida, “Barygenesis without grand unification,” Phys. Lett. B, 174, 45–47 (1986).
M. Trodden, “Electroweak baryogenesis,” Rev. Modern Phys., 71, 1463–1500 (1999); arXiv: hep-ph/9803479.
S. Davidson, E. Nardi, and Y. Nir, “Leptogenesis,” Phys. Rep., 466, 105–177 (2008); arXiv: 0802.2962.
B. Pontecorvo, “Mesonium and anti-mesonium,” Sov. Phys. JETP, 6, 429–431 (1957).
Z. Maki, M. Nakagawa, and S. Sakata, “Remarks on the unified model of elementary particles,” Prog. Theor. Phys., 28, 870–880 (1962).
C. Giunti and C. W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxford Univ. Press, Oxford (2007).
W. Pauli, “Exclusion principle, Lorentz group and reflexion of space-time and charge,” in: Niels Bohr and the Development of Physics (W. Pauli, L. Rosenfeld, and V. Weisskopf, eds.), McGraw-Hill, New York (1955), pp. 30–51.
A. V. Chukhnova and A. E. Lobanov, “Resonance enhancement of neutrino oscillations due to transition magnetic moments,” Eur. Phys. J. C, 81, 821, 9 pp. (2021); arXiv: 2005.04503.
A. E. Lobanov and A. V. Chukhnova, “Asymmetry of the propagation of left-handed neutrinos in an inhomogeneous magnetic field,” JETP, 133, 515–523 (2021).
L. Wolfenstein, “Neutrino oscillations in matter,” Phys. Rev. D, 17, 2369–2374 (1978).
A. E. Lobanov and A. V. Chukhnova, “Neutrino oscillations in homogeneous moving matter,” Mosc. Univ. Phys. Bull., 72, 454–459 (2017).
V. A. Naumov, “Three neutrino oscillations in matter, cp-violation and topological phases,” Int. J. Mod. Phys. D, 1, 379–399 (1992).
E. Akhmedov, P. Huber, M. Lindner, and T. Ohlsson, “T violation in neutrino oscillations in matter,” Nucl. Phys. B, 608, 394–422 (2001); arXiv: hep-ph/0105029.
S. T. Petcov and Y.-L. Zhou, “On neutrino mixing in matter and CP and T violation effects in neutrino oscillations,” Phys. Lett. B, 785, 95–104 (2018); arXiv: 1806.09112.
A. E. Lobanov, “Oscillations of particles in the Standard Model,” Theoret. and Math. Phys., 192, 1000–1015 (2017).
A. E. Lobanov, “Particle quantum states with indefinite mass and neutrino oscillations,” Ann. Phys., 403, 82–105 (2019); arXiv: 1507.01256.
A. E. Lobanov, “Neutrino oscillations in dense matter,” Russ. Phys. J., 59, 1891–1895 (2017); arXiv: 1612.01591.
A. V. Chukhnova and A. E. Lobanov, “Neutrino flavor oscillations and spin rotation in matter and electromagnetic field,” Phys. Rev. D, 101, 013003, 18 pp. (2020); arXiv: 1906.09351.
A. E. Lobanov and A. V. Chukhnova, “T-violation in neutrino oscillations,” JETP, 135, 312–319 (2022).
A. V. Chukhnova and A. E. Lobanov, “\(T\) violation without complex entries in the lepton mixing matrix,” Phys. Rev. D, 105, 073010, 7 pp. (2022); arXiv: 2203.06426.
K. Fujikawa and R. E. Shrock, “Magnetic moment of a massive neutrino and neutrino-spin rotation,” Phys. Rev. Lett., 45, 963–966 (1980).
R. E. Shrock, “Electromagnetic properties and decays of Dirac and Majorana neutrinos in a general class of gauge theories,” Nucl. Phys. B, 206, 359–379 (1982).
I. Yu. Kobzarev, B. V. Martemyanov, L. B. Okun, and M. G. Shchepkin, “Sum rules for neutrino oscillations,” Sov. J. Nucl. Phys., 35, 708 (1982).
W. Grimus and P. Stockinger, “Real oscillations of virtual neutrinos,” Phys. Rev. D, 54, 3414–3419 (1996).
I. P. Volobuev, “Quantum field-theoretical description of neutrino and neutral kaon oscillations,” Internat. J. Modern Phys. A, 33, 1850075, 14 pp. (2018).
V. O. Egorov and I. P. Volobuev, “Neutrino oscillation processes in a quantum-field-theoretical approach,” Phys. Rev. D, 97, 093002, 9 pp. (2018).
E. V. Arbuzova, A. E. Lobanov, and E. M. Murchikova, “Pure quantum states of a neutrino with rotating spin in dense magnetized matter,” Phys. Rev. D, 81, 045001, 16 pp. (2010); arXiv: 0903.3358.
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields, Pergamon Press, Oxford–London (1962).
A. E. Lobanov, “Radiation and self-polarization of neutral fermions in quasi-classical description,” J. Phys. A: Math. Gen., 39, 7517–7529 (2006); arXiv: hep-ph/0311021.
J. von Neumann, “Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik,” Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl., 1927, 245–272 (1927).
L. D. Landau, “Das Dämpfungsproblem in der Wellenmechanik,” Z. Physik, 45, 430–441 (1927).
Acknowledgments
The author is grateful to A. E. Lobanov, A. V. Borisov, and I. P. Volobuev for the fruitful discussions.
Funding
This work was supported by the Theoretical Physics and Mathematics Advancement Foundation “Basis” (grant No. 19-2-6-100-1).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 694–707 https://doi.org/10.4213/tmf10511.
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Chukhnova, A.V. Violation of the \(T\) invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix. Theor Math Phys 217, 2005–2015 (2023). https://doi.org/10.1134/S0040577923120152
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DOI: https://doi.org/10.1134/S0040577923120152