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Article
Report number arXiv:2209.09290 ; CERN-TH-2022-149
Title High Quality Axion in Supersymmetric Models
Author(s) Choi, Gongjun (CERN) ; Yanagida, Tsutomu T. (Shanghai U. ; Tokyo U.)
Publication 2022-12-13
Imprint 2022-09-19
Number of pages 34
Note 27 pages,1 figure, 2 tables. v3: version accepted by JHEP
In: JHEP 2212 (2022) 067
DOI 10.1007/JHEP12(2022)067 (publication)
Subject category Particle Physics - Theory ; Particle Physics - Phenomenology
Abstract In this work, we discuss how the use of the symmetries well motivated in physics beyond the Standard model (BSM) can guarantee the high quality axions. We avoid to introduce symmetries only useful for addressing the axion quality problem. Rather, we rely on symmetries well motivated by other issues in BSM: supersymmetry, $U(1)_{\rm B-L}$ and the discrete R-symmetry $Z_{NR}$. We show that the interplay among these guarantees the high quality of the axion even for the gravitino mass and axion decay constant as large as $m_{3/2}=\mathcal{O}(10){\rm TeV}$ and $F_{a}=\mathcal{O}(10^{15}){\rm GeV}$ respectively. The key point of this work relies on the observation that the MSSM contribution to the mixed anomalies $Z_{NR}-[SU(2)_{L}]^{2}$ and $Z_{NR}-[SU(3)_{c}]^{2}$ is not enough for gauging $Z_{NR}$ for $N\neq6$, which necessitates the introduction of new matter fields. We make the introduction to achieve zero mixed anomalies, which logically supports a desired large enough $N$ for $Z_{NR}$. This mechanism effectively makes $Z_{NR}$ equal to $U(1)_{R}$ and thus offers a logically complete solution to the axion quality problem.
Copyright/License preprint: (License: CC BY-NC-SA 4.0)
publication: © 2022-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³

Corresponding record in: Inspire


 Record created 2022-09-22, last modified 2023-10-04


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