Calculation of the Anapole Moment of the Neutrino

Abak, M.; Aydin, C.

doi:10.1209/0295-5075/4/8/004

Cited by 18 publications

(15 citation statements)

References 20 publications

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“…In 1987, M. Abak and C. Aydin [1] calculated a ν l in the context of the Standard Model of the electroweak interaction (SM) [2], using the 't Hooft-Feynman gauge [3] and conclude that a ν l is too small to be measured. In 1992, A. Góngora-T and R. G. Stuart, defined the charge radius and anapole moment of a free fermion as being its vector and axial-vector contact interactions with an external electromagnetic current and they got, at one loop in the SM, a finite and gauge invariant expression for these quantities [4].…”

Section: Introductionmentioning

confidence: 99%

Dirac Neutrino Anapole Moment

Cabral-Rosetti¹,

Moreno²,

Rosado³

2002

AIP Conference Proceedings

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We calculate the Dirac neutrino anapole moment (a_{\nu_l}) in the context of the Standard Model (SM) making use of the Dirac form factor F_D(q^2) introduced recently by J. Bernabeu, L. G. Cabral-Rosetti, J. Papavassiliou y J. Vidal by using the Pinch Technique (PT) formalism, working in two different gauge-fixing schemes (R_\xi guage and the electroweak BFM), at the one loop level. We show that the neutrino anapole form factor F_A(q^2) and Dirac form factor F_D(q^2) are related as follows: F_A(q^2) = \frac{1}{q^2} F_D(q^2). Hence, the Dirac neutrino charge radius < r^2_{\nu_l} > and the anapole moment satisfy the simple relation a_{\nu_l} = {1/6} < r^2_{\nu_l} >. Therefore, we show that the anapole moment (as the charge radius) of the neutrino is a physical quantity, which only gets contribution from the proper neutrino electromagnetic vertex (in electroweak BFM), and that a_{\nu_l} is of the order 10^{-34} cm^2.Comment: LaTex AIP style, 5 pages including 1 figure. Final version to appear in Proceedings of the VIII Mexican Workshop on Particles and Fields of the Division de Particulas y Campos de la Sociedad Mexicana de Fisica (DPyC-SMF), Cd. de Zacatecas, Zacatecas, Mexico November 14-20, 200

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Section: Introductionmentioning

confidence: 99%

Dirac Neutrino Anapole Moment

Cabral-Rosetti¹,

Moreno²,

Rosado³

2002

AIP Conference Proceedings

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“…The properties of neutrinos have become the subject of an increasing research afford for the sixty years. The possible electromagnetic properties of massive neutrinos include the charged radius, anapole moment, the dipole magnetic and electric moment [5][6][7][8][9][10][11][12]. The research for the neutrino mass, whether they are Dirac or Majorana particles, oscillations, and form factors especially the magnetic moment is of great significance for the choose of the theory of the elementary particles and for the clarifying of phenomena such a supernova dynamics, stellar evaluation, and the production of the sun neutrino.…”

Section: Introductionmentioning

confidence: 99%

“…The most general expression for the effective vertex of the interaction ννγ is given as [5,[29][30][31] Γ µ = eγ µ F 1 (q 2 ) + (ie/2m ν )σ µλ q λ F 2 (q 2 ) + (e/2m ν )σ µλ q λ γ 5 F 3 (q 2 ) + e(γ µ − / qq µ q 2 )γ 5 q 2 F 4 (q 2 ) (…”

Section: Introductionmentioning

confidence: 99%

The Role of the Neutrino Form Factors in the Energy Loss Rates of Pair Annihilation Process

Aydın

2022

Preprint

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The stellar energy loss rates due to the production of the neutrino pair process e + e − → (W, Z, γ) → νeνe are calculated in the minimal extension of Standard Model with electromagnetic properties of Dirac neutrinos which takes the account of the contribution of the neutrino charge radius, anapole moment and dipole moments. We have shown that the contribution of the electron neutrino's dipole moment is small compared with that of the charge radius. The obtained results are also considered with results obtained using the Standard Model.

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“…3 In this work, we present a calculation of the neutrino anapole moment in the 't Hooft-Feynman gauge in the context of the left-right model and in the supersymmetric extension of the Standard Model.…”

Section: Introductionmentioning

confidence: 99%