Neutrino zeromodes on electroweak strings in light of topological insulators

• Published in: The journal of high energy physics Vol. 2024; no. 6; pp. 62 - 42
• Main Authors: Eto, Minoru, Hamada, Yu, Jinno, Ryusuke, Nitta, Muneto, Yamada, Masatoshi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 12.06.2024; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Condensed matter physics; Cosmology; Critical phenomena; Elementary Particles; Green's functions; High energy physics; Neutrinos; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quarks; Regular Article - Theoretical Physics; Relativity Theory; Solitons Monopoles and Instantons; Specific BSM Phenomenology; Sterile or Heavy Neutrinos; String Theory; Strings; Symmetry; Topological insulators; Topological States of Matter; Topology; Vortices; Specific BSM Phenomenology; Topological States of Matter; Sterile or Heavy Neutrinos; Solitons Monopoles and Instantons
• ISSN: 1029-8479
• DOI: 10.1007/JHEP06(2024)062

A bstract We examine neutrino zeromode solutions on the electroweak Z -string and their effect on the stability of the string in the standard model and its extensions. We propose using topological invariants constructed from the momentum (and real) space topology of Green’s functions, often used for investigating edge modes in condensed matter physics. We analyze the standard model and then examine type-I and type-II extensions of the neutrino sector as well as their hybrid. Based on this analysis, we also comment on proposals in the literature to stabilize the Z -string.