2000
DOI: 10.1007/s100520000304
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Charge and magnetic moment of the neutrino in the background field method and in the linear $R_{\xi}^L$ gauge

Abstract: We present a computation of the charge and the magnetic moment of the neutrino in the recently developed electro-weak Background Field Method and in the linear R L ξ gauge. First, we deduce a formal Ward-Takahashi identity which implies the immediate cancellation of the neutrino electric charge. This Ward-Takahashi identity is as simple as that for QED. The computation of the (proper and improper) one loop vertex diagrams contributing to the neutrino electric charge is also presented in an arbitrary gauge, che… Show more

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Cited by 32 publications
(33 citation statements)
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“…Thus Eq. (57) gives for the neutrino magnetic moment the value of 3.2 × 10 −19 ( mν eV )µ B and agrees with the previous analyses given in the Standard Model [76,77]. We note that the underlying assumptions of [76,77] regarding a small Dirac mass is identical to ours except that our analysis is more general in that it includes both supersymmetry and mirror contributions.…”
Section: Neutrino Magnetic Momentsupporting
confidence: 89%
“…Thus Eq. (57) gives for the neutrino magnetic moment the value of 3.2 × 10 −19 ( mν eV )µ B and agrees with the previous analyses given in the Standard Model [76,77]. We note that the underlying assumptions of [76,77] regarding a small Dirac mass is identical to ours except that our analysis is more general in that it includes both supersymmetry and mirror contributions.…”
Section: Neutrino Magnetic Momentsupporting
confidence: 89%
“…Therefore, charge is quantized and from Eq. (7.1) neutrinos are exactly neutral (see also the explicit calculations in Bardeen et al (1972); Beg et al (1978); Marciano and Sirlin (1980); Sakakibara (1981); Lucio et al (1984Lucio et al ( , 1985; Cabral-Rosetti et al (2000)). This beautiful proof of charge quantization is spoiled by the introduction of a right-handed SU(2) L singlet neutrino ν R in order to have a Dirac neutrino mass.…”
Section: A Neutrino Electric Chargementioning
confidence: 95%
“…The dependence of the diagonal magnetic moment of a massive Dirac neutrino on the neutrino b i = m 2 i /m 2 W and charged lepton a l = m 2 l /m 2 W mass parameters in the one-loop approximation in the minimally-extended Standard Model with right-handed neutrinos was studied in [12][13][14]. The calculations of the neutrino magnetic moment which take into account exactly the dependence on the masses of all particles [13,14] can be useful in the case of a heavy neutrino with a mass comparable or even exceeding the values of the masses of other known particles.…”
Section: Magnetic and Electric Dipole Moments In Gauge Modelsmentioning
confidence: 99%