Small Instanton Effects on Composite Axion Mass

Fuente: arXiv
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Autori principali: Aoki, Takafumi, Ibe, Masahiro, Shirai, Satoshi, Watanabe, Keiichi
Natura: Preprint
Pubblicazione: 2024
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author Aoki, Takafumi
Ibe, Masahiro
Shirai, Satoshi
Watanabe, Keiichi
author_facet Aoki, Takafumi
Ibe, Masahiro
Shirai, Satoshi
Watanabe, Keiichi
contents This paper investigates the impact of small instanton effects on the axion mass in composite axion models. In particular, we focus on the Composite Accidental Axion (CAA) models, which are designed to address the axion quality problem, and where the Peccei-Quinn (PQ) symmetry emerges accidentally. In the CAA models, the QCD gauge symmetry is embedded in a larger gauge group at high energy. These models contain small instantons not included in low-energy QCD, which could enhance the axion mass significantly. However, in the CAA models, our analysis reveals that these effects on the axion mass are non-vanishing but are negligible compared to the QCD effects. The suppression of the small instanton effects originates from the global chiral U(1) symmetries which are not broken spontaneously and play a crucial role in eliminating $θ$-terms in the hidden sectors through anomalies. We find these U(1) symmetries restrict the impact of small instantons in hidden sectors on the axion mass. Our study provides crucial insights into the dynamics within the CAA models and suggests broader implications for understanding small instanton effects in other composite axion models.
format Preprint
id arxiv_https___arxiv_org_abs_2404_19342
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Small Instanton Effects on Composite Axion Mass
Aoki, Takafumi
Ibe, Masahiro
Shirai, Satoshi
Watanabe, Keiichi
High Energy Physics - Phenomenology
High Energy Physics - Theory
This paper investigates the impact of small instanton effects on the axion mass in composite axion models. In particular, we focus on the Composite Accidental Axion (CAA) models, which are designed to address the axion quality problem, and where the Peccei-Quinn (PQ) symmetry emerges accidentally. In the CAA models, the QCD gauge symmetry is embedded in a larger gauge group at high energy. These models contain small instantons not included in low-energy QCD, which could enhance the axion mass significantly. However, in the CAA models, our analysis reveals that these effects on the axion mass are non-vanishing but are negligible compared to the QCD effects. The suppression of the small instanton effects originates from the global chiral U(1) symmetries which are not broken spontaneously and play a crucial role in eliminating $θ$-terms in the hidden sectors through anomalies. We find these U(1) symmetries restrict the impact of small instantons in hidden sectors on the axion mass. Our study provides crucial insights into the dynamics within the CAA models and suggests broader implications for understanding small instanton effects in other composite axion models.
title Small Instanton Effects on Composite Axion Mass
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2404.19342