Neutrino Zero Modes on Electroweak Strings

Abstract

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.

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

References in corpus (1)

• The Dirac Sea Contribution To The Energy Of An Electroweak String

Cited by in corpus (29)

• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Non-Abelian strings and domain walls in two Higgs doublet models
• Can primordial magnetic fields seeded by electroweak strings cause an alignment of quasar axes on cosmological scales?
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Zero modes of fermions with general mass matrix
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Bulk Matters on a GRS-Inspired Braneworld
• Neutrino Zero Modes and Stability of Electroweak Strings
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Finite Temperature Behavior of the 3D Polyakov Model with Massless Quarks
• Fermion Energies in the Background of a Cosmic String
• Topological Defects in the Georgi-Machacek Model
• Brane Realization of Nambu Monopoles and Electroweak Strings
• Quantum Stabilization of a Closed Nielsen-Olesen String
• Baryogenesis via Leptogenesis in presence of cosmic strings
• Isospin Invariance and the Vacuum Polarization Energy of Cosmic Strings
• Stretching the electron as far as it will go
• Trapping Dirac fermions in tubes generated by two scalar fields
• Electroweak strings with dark scalar condensates and their (in)stability
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Cosmic Strings Stabilized by Fermion Fluctuations
• Quantum stabilization of a hedgehog type of cosmic string
• Zero Modes of Massive Fermions Delocalize from Axion Strings
• Stability of a class of neutral vacuum bubbles
• Short note on the stability of a dilatonic wall
• Bosonic (meta)stabilization of cosmic string loops