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In this lecture we review several cosmological issues associated with the axion. Axion solves the strong CP problem and is a good candidate for the dark matter. Limits, which are imposed by the value of isocurvature fluctuations fraction in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexey Anisimov

One class of solutions to the strong CP problem relies on generalized parity symmetries. A minimal model of this type, constructed by Babu and Mohapatra and based on a softly broken parity symmetry, has the remarkable property that…

High Energy Physics - Phenomenology · Physics 2021-09-06 Jordy de Vries , Patrick Draper , Hiren H. Patel

We expand the class of linear symmetric equations for which large sets with no non-trivial solutions are known. Our idea is based on first finding a small set with no solutions and then enlarging it to arbitrary size using a…

Number Theory · Mathematics 2024-08-21 Tomasz Kosciuszko

We argue that the axion arising in the solution of the strong CP problem can be identified with the Majoron, the (pseudo-)Goldstone boson of spontaneously broken lepton number symmetry. At low energies, the associated $U(1)_L$ becomes, via…

High Energy Physics - Phenomenology · Physics 2011-02-08 Adam Latosinski , Krzysztof A. Meissner , Hermann Nicolai

We construct the minimal SUSY model that causes spontaneous CP violation with an abelian flavor symmetry in the context of the large extra dimensions and show that various phenomenological problems can be solved by introducing only scales…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yutaka Sakamura

Some solutions to the strong CP problem assume that CP symmetry is a gauge symmetry, which is then spontaneously broken. For this scenario to be possible, the CP symmetry should not have any nonperturbative (global) anomalies. In this…

High Energy Physics - Phenomenology · Physics 2026-05-29 Kazuya Yonekura

We find that spontaneously broken parity (P) or left-right symmetry stabilizes dark matter in a beautiful way. If dark matter has a non-real intrinsic parity \pm i (e.g. Majorana fermions), parity can ensure that it cannot decay to all…

High Energy Physics - Phenomenology · Physics 2014-02-07 Ravi Kuchimanchi

We exhibit a solution to the strong CP problem in which ultraviolet physics renders the QCD theta angle physically unobservable. Our models involve new strong interactions beyond QCD and particles charged under both the new interactions and…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. D. H. Hsu , F. Sannino

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 analyze the strong CP problem and the implications for axion physics in the context of $U_1$ vector leptoquark models, recently put forward as an elegant solution to the hints of lepton flavor universality violation in B-meson decays. It…

High Energy Physics - Phenomenology · Physics 2019-12-25 Javier Fuentes-Martin , Mario Reig , Avelino Vicente

It is firmly believed that the axion for solving the strong CP problem must come from the spontaneous breaking of an anomalous Peccei-Quinn global symmetry. Here we show a new possibility that the axion can be induced by a pseudo Goldstone…

High Energy Physics - Phenomenology · Physics 2023-07-11 Pei-Hong Gu

Considerable theoretical efforts have gone into expanding the reach of the QCD axion beyond its canonical mass--decay-constant relation. The $Z_\mathcal{N}$ QCD axion model reduces the QCD axion mass naturally, by invoking a discrete…

High Energy Physics - Phenomenology · Physics 2026-02-24 Raymond T. Co , Taegyu Lee , Owen P. Leonard

A general form for all supersymmetric solutions of minimal supergravity in six dimensions is obtained. Examples of new supersymmetric solutions are presented. It is proven that the only maximally supersymmetric solutions are flat space,…

High Energy Physics - Theory · Physics 2011-08-01 Jan B. Gutowski , Dario Martelli , Harvey S. Reall

It is pointed out that the strong CP problem may have a natural solution in the context of a recently proposed dualized version of the Standard Model where Higgs fields and generations emerge naturally. Although fermions have finite…

High Energy Physics - Theory · Physics 2007-05-23 Jakov Pfaudler

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

String theoretic axion is a prime candidate for the QCD axion solving the strong CP problem. For a successful realization of the QCD axion in string theory, one needs to stabilize moduli including the scalar partner (saxion) of the QCD…

High Energy Physics - Theory · Physics 2010-10-27 Kiwoon Choi , Kwang Sik Jeong

We explore whether the axion which solves the strong CP problem can naturally be much lighter than the canonical QCD axion. The $Z_\mathcal{N}$ symmetry proposed by Hook, with $\mathcal{N}$ mirror and degenerate worlds coexisting in Nature…

High Energy Physics - Phenomenology · Physics 2021-11-09 Pablo Quilez , Luca Di Luzio , Belen Gavela , Andreas Ringwald

We present a supersymmetric solution to the strong CP problem based on spontaneous CP violation which simultaneously addresses the affects coming from supersymmetry breaking. The generated CP violating phase is communicated to the quark…

High Energy Physics - Phenomenology · Physics 2021-06-09 Jason Evans , Chengcheng Han , Tsutomu T. Yanagida , Norimi Yokozaki

Dark matter, gauge coupling unification, and the strong CP problem find a common and simple solution (in the absence of naturalness) within axion models. We show that such solution, even without specifying the details of the model…

High Energy Physics - Phenomenology · Physics 2015-06-04 Gian F. Giudice , Riccardo Rattazzi , Alessandro Strumia

The $U(1)$ global symmetry to solve the strong $CP$ problem could be the remnant of multi-$U(1)$ symmetries from QCD and hidden strong dynamics. Both Peccei-Quinn $U(1)$ and dynamical $U(1)$ are described uniformly, based on which we…

High Energy Physics - Phenomenology · Physics 2021-06-02 Dong Hu , Hao-Ran Jiang , Hao-Lin Li , Ming-Lei Xiao , Jiang-Hao Yu