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These lecture notes provide a self-contained, graduate-level introduction to the strong $CP$ problem and QCD axion physics from an effective field theory (EFT) viewpoint. We review the construction of the chiral EFT of QCD yielding a…

High Energy Physics - Phenomenology · Physics 2026-02-05 Francesco Sannino

Inspired by recent studies of high-scale decay constant or flavorful QCD axions, we review and clarify their existence in effective string models with anomalous $U(1)$ gauge groups. We find that such models, when coupled to charged scalars…

High Energy Physics - Phenomenology · Physics 2019-01-21 Quentin Bonnefoy , Emilian Dudas

We study effective theories of an axion in spontaneously broken supersymmetric theories. We consider a system where the axion supermultiplet is directly coupled to a supersymmetry breaking sector whereas the standard model sector is…

High Energy Physics - Phenomenology · Physics 2013-05-30 Tetsutaro Higaki , Ryuichiro Kitano

The QCD axion offers a natural resolution to the strong CP problem and provides a compelling dark matter candidate. If the QCD axion constitutes all the dark matter, the simplest models pick out a narrow range of masses around $100\,\mu{\rm…

High Energy Physics - Phenomenology · Physics 2023-10-31 David Cyncynates , Jedidiah O. Thompson

We investigate the non-invertible symmetry associated with chiral symmetry in axion quantum electrodynamics (QED) using the modified Villain formulation. In axion QED, it is known that naive magnetic objects such as 't Hooft loops and axion…

High Energy Physics - Lattice · Physics 2024-12-16 Yamato Honda , Soma Onoda , Hiroshi Suzuki

One of the major open puzzles in the Standard Model of particle physics is the strong CP problem: although Quantum Chromodynamics allows a CP-violating topological $\theta$-term, experiments constrain its value to be extremely small. The…

High Energy Physics - Phenomenology · Physics 2026-03-13 Gabriel Rouxinol , Tom Magorsch , Jesse J. Osborne , Nora Brambilla , Jad C. Halimeh

We investigate Maxwell-Chern-Simons theory on a three-dimensional noncommutative spacetime endowed with a constant spacelike Poisson structure. By exploiting the residual rotational symmetry, we construct exact classical solutions…

High Energy Physics - Theory · Physics 2026-04-14 Alexey Sharapov , David Shcherbatov

The axion particle is the outcome of the proposed Peccei-Quinn mechanism for solving the strong CP problem. Axion is also a popular dark matter candidate. Thus there is an increased interest in establishing its existence. Axions couple to…

High Energy Physics - Phenomenology · Physics 2022-04-06 A. Nicolaidis

We demonstrate that the observed cosmological excess of matter over antimatter may originate from a heavy QCD axion that solves the strong CP problem but has a mass much larger than that given by the Standard Model QCD strong dynamics. We…

High Energy Physics - Phenomenology · Physics 2022-11-09 Raymond T. Co , Tony Gherghetta , Keisuke Harigaya

The axion solution to the strong CP problem makes use of a global Peccei-Quinn U(1) symmetry which is susceptible to violations from quantum gravitational effects. We show how discrete gauge symmetries can protect the axion from such…

High Energy Physics - Phenomenology · Physics 2010-04-05 K. S. Babu , Ilia Gogoladze , Kai Wang

We show that the strong CP problem is solved in a large class of compactifications of string theory. The Peccei-Quinn mechanism solves the strong CP problem if the CP-breaking effects of the ultraviolet completion of gravity and of QCD are…

High Energy Physics - Theory · Physics 2023-07-05 Mehmet Demirtas , Naomi Gendler , Cody Long , Liam McAllister , Jakob Moritz

We argue that sufficiently complex grand unified theories involving extra strong intractions that confine at very short distances, may lead to a heavy axion solution of the CP problem of QCD. This axion may have a mass within accessible…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. A. Rubakov

We determine the model-independent component of the couplings of axions to electroweak gauge bosons, induced by the minimal coupling to QCD inherent to solving the strong CP problem. The case of the invisible QCD axion is developed first,…

High Energy Physics - Phenomenology · Physics 2019-03-27 G. Alonso-Álvarez , M. B. Gavela , P. Quilez

We study the $\textit{complete}$ parameter space of a bulk axion in flat and warped extra spacetime dimensions. We characterize in detail the regimes where no single KK mode is produced along the canonical QCD axion line, and instead, it is…

High Energy Physics - Phenomenology · Physics 2025-04-14 Arturo de Giorgi , Maria Ramos

We show that models in which the strong $CP$ problem is solved by introducing an axion field with a mass enhanced by non-QCD UV dynamics at a scale $\Lambda_{\rm SI}$ exhibit enhanced sensitivity to external sources of $CP$ violation. In…

High Energy Physics - Phenomenology · Physics 2022-08-05 Ravneet S. Bedi , Tony Gherghetta , Maxim Pospelov

The introduction of axions gives rise to additional one-loop diagrams for the two-photon decays of neutral pions via axion-pion mixing. We compute this correction that has been overlooked in existing calculations, within the framework of…

High Energy Physics - Phenomenology · Physics 2025-07-25 Zhen-Yan Lu , Shu-Peng Wang , Qi Lu

We discuss a possibility that a superconformal dynamics induces the emergence of a global $U(1)_{\rm PQ}$ symmetry to solve the strong CP problem through the axion. Fields spontaneously breaking the $U(1)_{\rm PQ}$ symmetry couple to new…

High Energy Physics - Phenomenology · Physics 2021-06-01 Yuichiro Nakai , Motoo Suzuki

The axion photon system in an external magnetic field, when for example considered with the geometry of the experiments exploring axion photon mixing, displays a continuous axion-photon duality symmetry in the limit the axion mass is…

High Energy Physics - Theory · Physics 2008-11-26 E. I. Guendelman

We study spontaneous CP violation as a solution to the strong CP problem in left-right symmetric theories. The discrete CP symmetry is broken by a complex vacuum expectation value of a right-handed Higgs doublet. Heavy vectorlike down-type…

High Energy Physics - Phenomenology · Physics 2019-07-03 Sebastian Ohmer

We present a novel framework of the post-inflationary composite axion to address the strong CP problem without the cosmological domain wall problem. Conventional composite axion models lead to the domain wall number greater than one,…

High Energy Physics - Phenomenology · Physics 2026-04-30 Shihwen Hor , Yuichiro Nakai , Motoo Suzuki , Junxuan Xu