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Related papers: Chiral Nelson--Barr Models: Quality and Cosmology

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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

In this study, we numerically show that automatic Nelson-Barr models with new chiral fermions can simultaneously solve the strong CP problem and generate the observed baryon asymmetry via high-scale leptogenesis. In these models, all CP…

High Energy Physics - Phenomenology · Physics 2025-09-19 Clara Murgui , Samuel Patrone

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 to strong CP based on chiral structure have been subject to the most careful scrutiny and critique. Basic theoretical issues include hierarchy and fine-tuning problems, quality and genericity of symmetries, and compatibility with…

High Energy Physics - Phenomenology · Physics 2015-10-13 Michael Dine , Patrick Draper

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

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

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 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

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

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 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

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

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 review recent work on the strong CP problem in the context of realistic string-inspired models. We discuss the various solutions, review the conjecture that CP is generally a gauged discrete symmetry in string theory and then consider…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. G. Leigh

We analyze the Nelson-Barr approach to the Strong CP Problem. We derive the necessary conditions in order to simultaneously reproduce the CKM phase and the quark masses. Then we quantify the irreducible contributions to the QCD topological…

High Energy Physics - Phenomenology · Physics 2021-08-18 Alessandro Valenti , Luca 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

Within the general framework of using spontaneous CP violation to solve the strong CP problem, we construct a variant Nelson-Barr model in which the Standard Model (SM) quark contribution to the strong CP phase is cancelled by new heavy…

High Energy Physics - Phenomenology · Physics 2023-05-03 Yang Bai , George N. Wojcik

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 show that, in the Nelson-Barr solution to the strong CP-problem, a naturally light scalar can arise. It gives rise to a completely new phenomenology beyond that of the celebrated QCD axion, if this field constitutes dark matter, as the…

High Energy Physics - Phenomenology · Physics 2026-05-05 Michael Dine , Gilad Perez , Wolfram Ratzinger , Inbar Savoray

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
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