Charge radius of the neutrino
- 10 November 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 62 (11), 113012
- https://doi.org/10.1103/physrevd.62.113012
Abstract
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 role of the box in this construction is critically examined. In particular it is shown that the exclusion of the effective 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 the 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.
Keywords
This publication has 30 references indexed in Scilit:
- Charge radius of the neutrino: A limit from SN 1987 APhysical Review D, 1989
- Neutrino electromagnetic form factorsPhysical Review D, 1989
- How to test lepton number conservation at acceleratorsPhysics Letters B, 1987
- BOUND ON THE NEUTRINO CHARGE RADIUS FROM PRIMORDIAL NUCLEOSYNTHESISModern Physics Letters A, 1987
- What is the Charge Radius of the Neutrino?: An Investigation in the Background Field GaugeProgress of Theoretical Physics, 1985
- Characteristic size for the neutrinoPhysical Review D, 1985
- Neutrino charge in the linearRξgaugePhysical Review D, 1984
- Magnetic Moment of a Massive Neutrino and Neutrino-Spin RotationPhysical Review Letters, 1980
- Natural suppression of symmetry violation in gauge theories: Muon- and electron-lepton-number nonconservationPhysical Review D, 1977
- Higher-Order Corrections to Leptonic Processes and the Renormalization of Weinberg's Theory of Weak Interactions in the Unitary GaugePhysical Review D, 1972