Abstract
We discuss the main features of the field-theoretical approach to neutrino oscillations where one combines neutrino production and detection processes in a single Feynman graph. The ‘oscillating neutrinos’ are represented by inner lines of this graph and appear in the calculation of the cross section of the total process as propagators of the neutrino mass eigenfields. We show that this field-theoretical approach leads to a transparent treatment of neutrino oscillations without ambiguities and provides the correct answer in cases where the standard approach fails.
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References
B Pontecorvo, Sov. Phys. JETP 26, 984 (1968)
S M Bilenky and B Pontecorvo, Phys. Rep. 41, 225 (1978)
S M Bilenky and S T Petcov, Rev. Mod. Phys. 59, 671 (1987)
B Kayser, F Gibrat-Debu and F Perrier, The Physics of Massive Neutrinos (World Scientific, Singapore, 1989)
R N Mohapatra and P B Pal, Massive Neutrinos in Physics and Astrophysics, World Scientific Lecture Notes in Physics (World Scientific, Singapore, 1991) vol. 41
C W Kim and A Pevsner, Neutrinos in Physics and Astrophysics, Contemporary Concepts in Physics (Harwood Academic Press, Chur, Switzerland, 1993) vol. 8
J Rich, Phys. Rev. D48, 4318 (1993)
C Giunti, C W Kim and U W Lee, Phys. Rev. D45, 2414 (1992)
C Giunti, C W Kim, J A Lee and U W Lee, Phys. Rev. D48, 4310 (1993)
S Nussinov, Phys. Lett. B28, 201 (1976)
B Kayser, Phys. Rev. D24, 110 (1981)
C Giunti, C W Kim and U W Lee, Phys. Rev. D44, 3635 (1991)
K Kiers, S Nussinov and N Weiss, Phys. Rev. D53, 537 (1996)
J Lowe, B Bassalleck, H Burkhardt, A Rusek, G J Stephenson Jr and T Goldman, Phys. Lett. B384, 288 (1996)
H Burkhardt, J Lowe, G J Stephenson Jr and T Goldman, hep-ph/9803365
B Ancochea, A Bramon, R Muñoz-Tapia and M Nowakowski, Phys. Lett. B389, 149 (1996)
Y Grossman and H Lipkin, Phys. Rev. D55 (1997) 2760
C Giunti, C W Kim and U W Lee, Phys. Lett. B421, 237 (1998)
C Giunti and C W Kim, Phys. Rev. D58, 017301 (1998)
W Grimus and P Stockinger, Phys. Rev. D54, 3414 (1996)
The identification E v = E D allows to determine, at least in principle, the neutrino energy with arbitrary accuracy by measuring the energies of the particles in the final state of the detector process with arbitrary accuracy
W Grimus and P Stockinger, Phys. Rev. D57, 1762 (1998)
W Grimus, S Mohanty and P Stockinger, Phys. Rev. D59, 013011 (1999), hep-ph/9904285
LSND Coll: C Athanassopoulos et al Phys. Rev. Lett. 77, 3082 (1996)
KARMEN Coll: G Drexlin et al, Prog. Part. Nucl. Phys. 32, 375 (1994)
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Stockinger, P. Introduction to a field-theoretical treatment of neutrino oscillations. Pramana - J Phys 54, 203–214 (2000). https://doi.org/10.1007/s12043-000-0017-1
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DOI: https://doi.org/10.1007/s12043-000-0017-1