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Three possible strategies have been advocated to solve the strong CP problem. The first is the axion, a dynamical mechanism that relaxes any initial value of the CP violating angle $\bar{\theta}$ to zero. The second is the imposition of new…

High Energy Physics - Phenomenology · Physics 2025-05-14 David E. Kaplan , Tom Melia , Surjeet Rajendran

We propose a simple model for the spontaneous CP violation based on $SU(2)_{L}\times U(1)_{Y}\times A_{4}\times CP\times Z_{2}$ symmetry for quarks and leptons in a seesaw framework. In our model CP is spontaneously broken at high energies,…

High Energy Physics - Phenomenology · Physics 2013-09-03 Y. H. Ahn , Seungwon Baek

CP invariance is a very attractive solution to the strong CP problem in QCD. This solution requires the vanishing ${\rm arg}\,[{\rm det}\, M_d\, {\rm det} M_u]$, where the $M_d$ and $M_u$ are the mass matrices for the down- and up-type…

High Energy Physics - Phenomenology · Physics 2025-10-22 Morimitsu Tanimoto , Tsutomu T. Yanagida

A possible solution to the strong CP problem is presented without using an axion. The model is based on the framework of the supersymmetric vectorlike theory with the spontaneous breakdown of the P-C-T-invariance. It is shown that the…

High Energy Physics - Phenomenology · Physics 2008-12-25 Kenzo Inoue , Naoki Yamatsu

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

Setting aside anthropic arguments, there is no reason for CP symmetry to be obeyed within the theory of quantum chromodynamics. However, no such violation of CP symmetry has ever been observed in a strongly interacting experiment. This is…

High Energy Physics - Phenomenology · Physics 2021-08-11 Drew Backhouse

Solutions of the Strong CP Problem based on the spontaneous breaking of CP must feature a non-generic structure and simultaneously explain a coincidence between a priori unrelated CP-even and CP-odd mass scales. We show that these…

High Energy Physics - Phenomenology · Physics 2021-08-04 Alessandro Valenti , Luca Vecchi

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

A spontaneously-broken CP provides an alternative to the KM mechanism for CP violation with the advantage that the strong CP problem is solved. We consider, for such a model with a new gauged U(1), the incorporation of low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-30 Paul H. Frampton , Otto C. W. Kong

We derive sufficient conditions that guarantee a robust solution of the strong CP problem in theories with spontaneous CP violation, and introduce a class of models satisfying these requirements. In the simplest scenarios the dominant…

High Energy Physics - Phenomenology · Physics 2014-12-15 Luca Vecchi

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

We suggest a new solution to the strong CP problem. The solution is based on the proper use of the boundary conditions for the QCD generating functional integral. We expand the perturbative boundary conditions to both perturbative and…

High Energy Physics - Phenomenology · Physics 2023-12-19 S. A. Larin

It is pointed out that the recent measurement of the angle $\gamma$ of the unitarity triangle, providing irrefutable evidence for a complex Cabibbo-Kobayashi-Maskawa (CKM) matrix, presents a great challenge for supersymmetric models with…

High Energy Physics - Phenomenology · Physics 2010-04-05 G. C. Branco , D. Emmanuel-Costa , J. C. Romao

Models of spontaneous CP violation can solve the Strong CP problem without the need of an anomalous Peccei-Quinn symmetry. In this work we review the Nelson-Barr approach, quantifying a peculiar coincidence between unrelated mass scales…

High Energy Physics - Phenomenology · Physics 2022-05-10 Alessandro Valenti

Spontaneous CP violation, such as the Nelson-Barr (NB) mechanism, is an attractive scenario for addressing the strong CP problem while realizing the observed phase of the Cabibbo-Kobayashi-Maskawa (CKM) quark-mixing matrix. However, not…

High Energy Physics - Phenomenology · Physics 2022-05-09 Kohei Fujikura , Yuichiro Nakai , Ryosuke Sato , Masaki Yamada

The origin of CP violation is a major mystery, especially in relation to the strong CP problem. CP being a spontaneously broken symmetry could provide an elegant solution. However, such models have difficulty making themselves compatible…

High Energy Physics - Phenomenology · Physics 2007-05-23 Otto C. W. Kong

We analyse the impact of quantum gravity on the possible solutions to the strong CP problem which utilize the spontaneously broken discrete symmetries, such as parity and time reversal invariance. We find that the stability of the solution…

High Energy Physics - Phenomenology · Physics 2010-11-01 Z. G. Berezhiani , R. N. Mohapatra , G. Senjanovic

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

A very simple model is presented where all CP violation in Nature is spontaneous in origin. The CKM phase is generated unsuppressed and the strong CP problem is solved with only moderately small couplings between the SM and the CP violation…

High Energy Physics - Phenomenology · Physics 2019-03-29 A. L. Cherchiglia , C. C. Nishi

Quantum gravity introduces a new source of the combined parity (CP) violation in gauge theories. We argue that this new CP violation gets bundled with the strong CP violation through the coloured gravitational instantons. Consequently, the…

High Energy Physics - Phenomenology · Physics 2022-07-27 Zhe Chen , Archil Kobakhidze
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