The neutrino charge radius in the presence of fermion masses

Abstract

We show how the crucial gauge cancellations leading to a physical definition of the neutrino charge radius persist in the presence of non-vanishing fermion masses. An explicit one-loop calculation demonstrates that, as happens in the massless case, the pinch technique rearrangement of the Feynman amplitudes, together with the judicious exploitation of a fundamental current relation leads to a completely gauge independent definition of the effective neutrino charge radius. Using the formalism of the Nielsen identities it is further proved that the same cancellation mechanism operates unaltered to all orders in perturbation theory.

26 pages, 8 figures

References in corpus (3)

• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• On a Neutrino Electroweak Radius
• Electroweak pinch technique to all orders

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• Electromagnetic neutrinos in laboratory experiments and astrophysics
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• Neutrino electromagnetic interactions: a window to new physics
• Looping Around Neutrino Charge Radius at Ultra-Near Reactor Experiments
• Electromagnetic properties of neutrinos
• Connecting Dark Matter Annihilation to the Vertex Functions of Standard Model Fermions
• Electromagnetic neutrinos: New constraints and new effects in oscillations