Charge and magnetic moment of the neutrino in the background field method and in the linear

Cabral-Rosetti, Luis G.; Bernabéu, J.; Zepeda, A.

doi:10.1007/s100520050051

Cited by 22 publications

(41 citation statements)

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“…That is the reason to consider the neutrino magnetic moment for various ranges of particles masses. The value of the neutrino magnetic moment for a light neutrino with mass m ν ≪ m ℓ ≪ M W that was obtained in [66,70],…”

Section: Neutrino Magnetic and Electric Dipole Momentsmentioning

confidence: 84%

“…In this case, neutrinos are electrically neutral. The direct calculation of the neutrino charge in the Standard Model under the assumption of a vanishing neutrino mass in different gauges and with use of different methods is presented in [65,[70][71][72]. For the flavor massive Dirac neutrino the one-loop contributions to the charge, in the context of the minimal extension of the Standard Model within the general R ξ gauge, were considered in [66].…”

Section: Neutrino Electric Chargementioning

confidence: 99%

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Neutrino electromagnetic properties

2009

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The main goal of the paper is to give a short review on neutrino electromagnetic properties. In the introductory part of the paper a summary on what we really know about neutrinos is given: we discuss the basics of neutrino mass and mixing as well as the phenomenology of neutrino oscillations. This is important for the following discussion on neutrino electromagnetic properties that starts with a derivation of the neutrino electromagnetic vertex function in the most general form, that follows from the requirement of Lorentz invariance, for both the Dirac and Majorana cases. Then, the problem of the neutrino form factors definition and calculation within gauge models is considered. In particular, we discuss the neutrino electric charge form factor and charge radius, dipole magnetic and electric and anapole form factors. Available experimental constraints on neutrino electromagnetic properties are also discussed, and the recently obtained experimental limits on neutrino magnetic moments are reviewed. The most important neutrino electromagnetic processes involving a direct neutrino coupling with photons (such as neutrino radiative decay, neutrino Cherenkov radiation, spin light of neutrino and plasmon decay into neutrino-antineutrino pair in media) and neutrino resonant spin-flavor precession in a magnetic field are discussed at the end of the paper.

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Section: Neutrino Magnetic and Electric Dipole Momentsmentioning

confidence: 84%

Section: Neutrino Electric Chargementioning

confidence: 99%

Neutrino electromagnetic properties

2009

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“…In particular, even though in the static limit of zero momentum transfer, q 2 → 0, the form-factor F 1 (q 2 , ξ) becomes independent of ξ, its first derivative with respect to q 2 , which corresponds to the classic definition of the NCR, namely r 2 ν = − 6 ∂F 1 (q 2 ,ξ) ∂q 2 | q 2 =0 , continues to depend on it. The problems associated with the definition of the NCR within the SM and beyond have been examined in detail in a series of papers, and various proposals have been put forth on how to bypass them [5,6,7,8,9,10,11,12,13,14,15,16]. The main idea behind these works has been to exploit judiciously the GFP-independence of the entire physical amplitude, and eventually define a piece of it which is kinematically akin to an electromagnetic form factor, and is in addition endowed with a set of important physical properties.…”

Section: Introductionmentioning

confidence: 99%

Charge radius of the neutrino

et al. 2000

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Using the pinch technique we construct at one-loop order a neutrino charge radius, which is finite, depends neither on the gauge-fixing parameter nor on the gauge-fixing scheme employed, and is process-independent. This definition stems solely from an effective proper photon-neutrino one-loop vertex, with no reference to box or self-energy contributions. The rôle of the W W box in this construction is critically examined. In particular it is shown that the exclusion of the effective W W box from the definition of the neutrino charge radius is not a matter of convention but is in fact dynamically realized when the target-fermions are right-handedly polarized. In this way we obtain a unique decomposition of effective self-energies, vertices, and boxes, which separately respect electroweak gauge invariance. We elaborate on the tree-level origin of the mechanism which enforces at one-loop level massive cancellations among the longitudinal momenta appearing in the Feynman diagrams, and in particular those associated with the non-abelian character of the theory. Various issues related to the known connection between the pinch technique and the Background Field Method are further clarified. Explicit closed expressions for the neutrino charge radius are reported.

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“…where U li is the neutrino mixing matrix. The correspondent result in the absence of mixing was confirmed in [5,6]. A Majorana neutrino may also have transition moment of the value µ M ij = 2µ D ij (see [2] for a detailed discussion and references).…”

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confidence: 69%