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We use parity (P) to set $\theta_{QCD}$ to zero in the minimal left-right symmetric model with a bi-doublet Higgs, add a heavy vectorlike quark family, and obtain in a novel manner the Nelson Barr (NB) form associated so far only with…

High Energy Physics - Phenomenology · Physics 2024-01-25 Ravi Kuchimanchi

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

We propose a novel realization of the Nelson-Barr mechanism "seeded'' by a dark sector containing scalars and vector-like quarks. Charge-parity (CP) and a $\mathcal{Z}_8$ symmetry are spontaneously broken by the complex vacuum expectation…

High Energy Physics - Phenomenology · Physics 2023-11-28 H. B. Câmara , F. R. Joaquim , J. W. F. Valle

Models which solve the strong CP problem by employing discrete spacetime symmetries generically suffer fine-tuning and quality problems. We demonstrate that these issues are greatly ameliorated when the only source of spontaneous CP…

High Energy Physics - Phenomenology · Physics 2026-03-27 Csaba Csáki , Samuel Homiller , Taewook Youn

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 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 discuss a simple model, based on the gauge group ${\rm SU}(3)_C\otimes {\rm SU}(2)_L \otimes \text{U}(1)_Y\otimes \text{U}(1)_R$, where the Nelson-Barr solution to the strong CP problem is implemented. This model automatically provides a…

High Energy Physics - Phenomenology · Physics 2023-07-14 Pavel Fileviez Perez , Clara Murgui , Mark B. Wise

We investigate Nelson--Barr solutions to the strong CP problem in which spontaneous CP violation is transmitted to the Standard Model through mixing with a vector-like partner of the SM quark doublet. We show that these constructions…

High Energy Physics - Phenomenology · Physics 2026-04-06 G. H. S. Alves , C. C. Nishi , L. Vecchi

We present a solution to the strong CP problem, which relies on the horizontal gauge symmetry and CP invariance in a full theory. Similar to other Nelson-Barr type solutions, CP violation in both the strong and weak sectors in the Standard…

High Energy Physics - Phenomenology · Physics 2019-11-25 Gongjun Choi , Tsutomu T. Yanagida

We examine the possibility of building a natural non-supersymmetric model of spontaneous CP violation equipped with the Nelson-Barr (NB) mechanism to address the strong CP problem. Our approach is to utilize a doubly composite dynamics…

High Energy Physics - Phenomenology · Physics 2022-12-28 Sudhakantha Girmohanta , Seung J. Lee , Yuichiro Nakai , Motoo Suzuki

Nelson-Barr theories solve the strong CP problem with CP spontaneously broken at \Lambda_{CP} and transmitted to the CP conserving version of the SM through vector-like quarks (VLQs). For an arbitrary number of CP breaking scalars and VLQs,…

High Energy Physics - Phenomenology · Physics 2025-09-25 Gustavo H. S. Alves , Celso C. Nishi

We revisit the minimal Nelson-Barr model for solving the strong CP problem through the idea of spontaneous CP breaking. The minimal model suffers from the quality problem, which means that the strong CP angle is generated by…

High Energy Physics - Phenomenology · Physics 2024-11-18 Kai Murai , Kazunori Nakayama

Nelson-Barr models solve the strong CP problem based on spontaneous CP violation and generically requires vector-like quarks (VLQs) mixing with standard quarks to transmit the CP violation. We devise an explicit parametrization for the case…

High Energy Physics - Phenomenology · Physics 2023-09-01 G. H. S. Alves , A. L. Cherchiglia , C. C. Nishi

We demonstrate that a certain class of low scale supersymmetric ``Nelson-Barr'' type models can solve the strong and supersymmetric CP problems while at the same time generating sufficient weak CP violation in the $K^{0}-\bar{K}^{0}$…

High Energy Physics - Phenomenology · Physics 2009-10-31 Otto C. W. Kong , Brian D. Wright

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

One possible solution to the strong CP problem is that CP is an exact symmetry, spontaneously broken at some scale. Some years ago, Nelson and Barr suggested a mechanism for obtaining $\theta=0$ at tree level in this framework, and showed…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Dine , A. Kagan , R. G. Leigh

Cosmological relaxation models in which the relaxion is identified with the QCD axion, generically fail to account for the smallness of the strong CP phase. We present a simple alternative solution to this "relaxion CP problem" based on the…

High Energy Physics - Phenomenology · Physics 2019-02-20 Oz Davidi , Rick S. Gupta , Gilad Perez , Diego Redigolo , Aviv Shalit

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

We explore a concrete realization of a Nelson-Barr model addressing the strong CP problem with suppressed unfavorable corrections. This model has a scalar field that spontaneously breaks discrete symmetry, and its phase component can…

High Energy Physics - Phenomenology · Physics 2024-12-30 Kai Murai , Kazunori Nakayama

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
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