Victor Enguita-Vileta
Discrete Goldstone bosons
Enguita-Vileta, Victor; Gavela, Belen; Houtz, Rachel; Quilez, Pablo
Authors
Belen Gavela
Dr Rachel Houtz rachel.houtz@durham.ac.uk
Post Doctoral Research Associate
Pablo Quilez
Abstract
Exact discrete symmetries, if nonlinearly realized, can reduce the ultraviolet sensitivity of a given theory. The scalars stemming from spontaneous symmetry breaking are massive without breaking the discrete symmetry, and those masses are protected from divergent quadratic corrections. This is in contrast to nonlinearly realized continuous symmetries, for which the masses of pseudo-Goldstone bosons require an explicit breaking mechanism. The symmetry-protected masses and potentials of those discrete Goldstone bosons offer promising physics avenues, both theoretically and in view of the blooming experimental search for axionlike particles. We develop this theoretical setup using invariant theory and focusing on the maximally natural minima of the potential. For these, we show that typically a subgroup of the ultraviolet discrete symmetry remains explicit in the spectrum, i.e. realized “a la Wigner ` ”; this subgroup can be either Abelian or non-Abelian. This suggests telltale experimental signals for those minima: at least two (three) degenerate scalars produced simultaneously if Abelian (non-Abelian), while the specific ratios of multiscalar amplitudes provide a hint of the full ultraviolet discrete symmetry. Examples of exact ultraviolet A4 and A5 symmetries are explored in substantial detail.
Citation
Enguita-Vileta, V., Gavela, B., Houtz, R., & Quilez, P. (2023). Discrete Goldstone bosons. Physical Review D, 107(3), Article 035009. https://doi.org/10.1103/physrevd.107.035009
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 12, 2023 |
Online Publication Date | Feb 10, 2023 |
Publication Date | 2023 |
Deposit Date | May 15, 2023 |
Publicly Available Date | May 15, 2023 |
Journal | Physical Review D |
Print ISSN | 2470-0010 |
Electronic ISSN | 2470-0029 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 107 |
Issue | 3 |
Article Number | 035009 |
DOI | https://doi.org/10.1103/physrevd.107.035009 |
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Published by the American Physical Society under the terms of
the Creative Commons Attribution 4.0 International license.
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation, and DOI.
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