Neutrino Zero Modes on Electroweak Strings

Details Neutrino Zero Modes on Electroweak Strings Neutrino Zero Modes on Electroweak Strings

2000-07-07

arxiv.org/abs/hep-ph/0007071v2

Phys.Rev.D63:085011,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figures, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.63.085011

Zero modes of massive standard model fermions have been found on electroweak Z-strings. A zero mode solution for a massless left-handed neutrino is also known, but was thought to be non-normalizable. Here we show that although this mode is not discretely normalizable, it is delta-function normalizable and the correct interpretation of this solution is within the framework of the continuum spectrum. We also analyze an extension of the standard model including right-handed neutrinos in which neutrinos have Dirac masses, arising from a Yukawa coupling to the usual SU(2) Higgs doublet, and right-handed Majorana masses. The Majorana mass terms are taken to be spatially homogeneous and are presumed to arise from the vacuum expectation value of some field acquired in a phase transition well above the electroweak phase transition. The resulting zero energy equations have a discrete zero mode.

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