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A $SU(N)_L\times SU(N)_R$ gauge theory for a scalar multiplet $Y$ transforming in the bi-fundamental representation $(N,\bar N)$ preserves, for $N>4$, an accidental $U(1)$ symmetry firstly broken at operator dimension $N$. Two…

High Energy Physics - Phenomenology · Physics 2017-07-12 Luca Di Luzio , Enrico Nardi , Lorenzo Ubaldi

Any would-be Peccei-Quinn (PQ) symmetry is vulnerable to various types of explicit breaking. It has long been recognized that these can disrupt the axion solution to the strong CP problem. There have also been suggestions that, under…

High Energy Physics - Phenomenology · Physics 2022-07-05 Michael Dine

We discuss a possible solution to the strong CP problem which is based on spontaneous CP violation and discrete symmetries. At the same time we predict in a simple way the almost right-angled quark unitarity triangle angle ($\alpha \simeq…

High Energy Physics - Phenomenology · Physics 2015-06-09 Martin Spinrath

After a brief review of the axion solution of the strong CP problem, its supersymmetric extension and the superstring axion are discussed. I also present one interesting cosmological scenario, the axino-gravitino cosmology, for the large…

High Energy Physics - Phenomenology · Physics 2011-04-15 Jihn E. Kim

We show that a recently proposed solution to the Hierarchy Problem simultaneously solves the Strong CP Problem, without requiring an axion or any further new physics. Consistency of black hole physics implies a non-trivial relation between…

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , Glennys R. Farrar

The promising solution to the strong CP problem by a Peccei-Quinn (PQ) symmetry may introduce quality and hierarchy problems, which are both relevant to Planck physics. In this paper, we study whether both problems can be explained by…

High Energy Physics - Phenomenology · Physics 2020-10-28 Wen Yin

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 briefly review the cases of forced and spontaneous chiral symmetry breaking. In particular the chiral condensate of q anti-q pairs is parametrized with two angles, phi which measures the chiral condensation, and theta which measures the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo , J. Ribeiro

Although the axion is the most compelling solution to the strong CP problem, the ad hoc introduced global Peccei-Quinn symmetry suffers from a severe fine-tuning problem known as the quality problem. In this Letter, we show that the…

High Energy Physics - Phenomenology · Physics 2026-03-05 Jie Sheng , Tsutomu T. Yanagida

The Axion is a particle arising from the Peccei-Quinn solution to the strong CP problem. Peccei-Quinn symmetry breaking in the early universe could produce a large number of axions which would still be present today, making the axion a…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-07 Dmitry Lyapustin

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

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

QCD in a five-dimensional sliced bulk with chiral extra-quarks on the boundaries is generically free from the strong CP problem. Accidental axial symmetry is naturally present except for suppressed breaking interactions, which plays a role…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. -I. Izawa , T. Watari , T. Yanagida

A broad experimental program is targeting the QCD axion band predicted by single-axion solutions to the strong CP problem. Multi-axion theories provide a well-motivated departure from this canonical picture, since additional states…

High Energy Physics - Phenomenology · Physics 2026-05-11 Mario Fernández Navarro , Marta F. Zamoro , Marko Pesut , Xavier Ponce Díaz

We formulate general conditions under which the strong CP problem is solved by spontaneous CP violation. Quark-mass matrix elements are polynomials in the CP-breaking order parameters, engineered such that their determinant is a real…

High Energy Physics - Phenomenology · Physics 2024-08-16 Ferruccio Feruglio , Matteo Parriciatu , Alessandro Strumia , Arsenii Titov

The \mu parameter of the supersymmetric standard model is replaced by \lambda S, where S is a singlet chiral superfield, introducing a Peccei--Quinn symmetry into the theory. Dynamics at the electroweak scale naturally solves both the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Brian Feldstein , Lawrence J. Hall , Taizan Watari

Addressed is the question of whether a natural mechanism exists to resolve the strong CP problem. The analogous issue for the two-dimensional $CP^{N-1}$ models is analyzed using computer simulations.

High Energy Physics - Lattice · Physics 2007-05-23 Stuart Samuel

It has been recently shown that the requirement of anomaly cancellation in a (non-supersymmetric) six-dimensional version of the standard model fixes the field content to the known three generations. We discuss the phenomenological…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Fabbrichesi , M. Piai , G. Tasinato

Gravitational effects may interfere with the axion solution to the strong-CP problem. We point out that gravity can potentially provide a protection mechanism against itself, in the form of an additional axion-like field associated with…

High Energy Physics - Theory · Physics 2018-06-12 Georgios K. Karananas

I propose a new axionic solution to the strong CP problem which involves a hypothetical vector-like quark(s) in a high-colour representation of the conventional QCD. There are two distinct scenarios. If the current mass of the exotic quark…

High Energy Physics - Phenomenology · Physics 2016-02-23 Archil Kobakhidze