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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 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

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

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 present a new mechanism to solve the strong CP problem using $N\geq2$ axions, each dynamically relaxing part of the $\bar\theta$ parameter. At high energies $M\gg\Lambda_{QCD}$ the $SU(3)_{c}$ group becomes the diagonal subgroup of an…

High Energy Physics - Phenomenology · Physics 2018-12-26 Prateek Agrawal , Kiel Howe

The absence of a neutron electric dipole moment (EDM) constrains the quantum chromodynamics (QCD) theta angle to be less than one part in ten billion, posing the Strong $CP$ problem. We revisit two classes of proposed solutions. First, we…

High Energy Physics - Phenomenology · Physics 2025-10-23 Joshua N. Benabou , Anson Hook , Claudio Andrea Manzari , Hitoshi Murayama , Benjamin R. Safdi

We address the strong CP problem: why the physical QCD angle theta-bar must be extraordinarily small given the stringent bounds on the neutron electric dipole moment. Peccei-Quinn axion models can relax theta-bar dynamically, but rely on an…

High Energy Physics - Theory · Physics 2026-03-06 Sameer Ahmad Mir , Bobby Eka Gunara , Mir Faizal

We present simple effective theory of quark masses, mixing and CP violation with level $N=3$ ($A_4$) modular symmetry, which provides solution to the strong CP problem without the need for an axion. The vanishing of the strong CP-violating…

High Energy Physics - Phenomenology · Physics 2024-07-03 S. T. Petcov , M. Tanimoto

When extending the SM, e.g. with vector-like quarks (VLQ), one inevitably encounters more than one CP violating complex phases. In this work, we develop a method useful in reducing the number of complex phases in scenarios with one and two…

High Energy Physics - Phenomenology · Physics 2024-07-11 José Filipe Bastos , J. I. Silva-Marcos

The unsuppressed CP violation in QCD is a problem in the standard model. If we have some mechanism to guarantee real determinants of the quark mass matrices, the vanishing physical vacuum angle $\bar \theta$ indicates the CP invariance at…

High Energy Physics - Phenomenology · Physics 2025-10-03 Tatsuo Kobayashi , Hajime Otsuka , Morimitsu Tanimoto , Tsutomu T. Yanagida

We propose a minimal modification of the standard model, remarkable in its simplicity, which may solve the strong CP problem. It employs three Higgs doublets with interactions taken to be invariant under a flavor symmetry. Both CP and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sheldon Lee Glashow

Three symmetry constraints on the CP violations in QCD are discussed in this paper. In order to generate CP violating observables from QCD, these constraints require: (1) spontaneous chiral symmetry breaking, (2) explicit chiral symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chuan-Tsung Chan

We show that the strong CP problem can, in principle, be solved dynamically by adding extra-dimensions with compact topology. To this aim we consider a toy model for QCD, which contains a vacuum angle and a strong CP like problem. We…

High Energy Physics - Theory · Physics 2011-08-04 F. L. Bezrukov , Y. Burnier

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

Recently, it was shown that modular symmetry may solve the strong CP problem without axions, by producing a vanishing QCD angle while generating a large quark CP violation phase. We extend this framework to finite modular groups,…

High Energy Physics - Phenomenology · Physics 2024-10-25 J. T. Penedo , S. T. Petcov

We present a new solution to the strong CP problem in which the imaginary component of the up quark mass, $\mathcal{I}[m_u]$, acquires a tiny, but non-vanishing value. This is achieved via a Dirac seesaw mechanism, which is also responsible…

High Energy Physics - Phenomenology · Physics 2019-11-19 Marcela Carena , Da Liu , Jia Liu , Nausheen R. Shah , Carlos E. M. Wagner , Xiao-Ping Wang

A recent work combined the popular left-right parity (LR) and Peccei-Quinn (PQ) symmetries to explain the alignment in quark masses. Since axions may not exist, we break PQ softly and discover a new solution to the strong CP problem.…

High Energy Physics - Phenomenology · Physics 2018-05-04 Ravi Kuchimanchi

We present a solution to the strong CP problem based on the identification of the theta angle with twice the CP violating phase present in the CKM quark matrix. This solution washes out all the unwanted issues stemming form the strong CP…

High Energy Physics - Phenomenology · Physics 2018-02-23 Renata Jora

We discuss a class of models in which CP is violated softly in a heavy sector adjoined to the standard model. Heavy-sector loops produce the observed CP violation in kaon physics, yielding a tiny and probably undetectable value for…

High Energy Physics - Phenomenology · Physics 2009-09-11 Howard Georgi , Sheldon L. Glashow

We propose an alternative to the axion mechanism for addressing the charge parity (CP) problem in quantum chromodynamics (QCD). Our approach involves imposing CP as an inherent symmetry of the Lagrangian, which is then spontaneously broken.…

High Energy Physics - Phenomenology · Physics 2025-10-08 Rodolfo Ferro-Hernandez , Stefano Morisi , Eduardo Peinado