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Quantum Chromodynamics (QCD) admits a topological $\bar{\theta}$ term that violates charge-parity ($CP$) symmetry, yet experiments indicate that $\bar{\theta}$ is extremely small. To investigate this problem in a controlled setting, we…

High Energy Physics - Lattice · Physics 2026-04-15 Le Bin Ho

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

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 analyze the minimal supersymmetric left-right model with non-re\-nor\-malizable interactions induced by higher scale physics and study its {\it CP} violating properties. We show that it: (i) solves the strong {\it CP} problem; (ii)…

High Energy Physics - Phenomenology · Physics 2009-10-28 Rabindra N. Mohapatra , Andrija Rasin

A non-axion solution to the Strong CP Problem is proposed that works even in the context of gravity-mediated supersymmetry breaking. Both $\epsilon'/\epsilon$ and indirect CP violation in the $B-\bar{B}$ are predicted to be unobservably…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. B. Barr

The strong CP problem can be solved in Parity symmetric theories with electroweak gauge group containing $SU(2)_L \times SU(2)_R$ broken by the minimal Higgs content. Neutrino masses may be explained by adding the same number of gauge…

High Energy Physics - Phenomenology · Physics 2023-11-20 Lawrence J. Hall , Keisuke Harigaya , Yogev Shpilman

We study the possibility of soft breaking effects of the generalized parity within the minimal Left-Right model. One aim of the paper is to elaborate on the potentiality, the limit, and the predictivity of a restored parity at high scale.…

High Energy Physics - Phenomenology · Physics 2020-12-04 Alessio Maiezza

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

The QCD Lagrangian contains a CP violating gluon density term with a physical coefficient $\bar{\theta}$. The upper bound on the electric dipole moment of neutron implies that the value of $\bar{\theta}$ should be extremely small rather…

High Energy Physics - Phenomenology · Physics 2023-07-11 Pei-Hong Gu

Recent studies have claimed that the strong $CP$ problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the lattice. In order to shed light on this issue, we study the…

High Energy Physics - Lattice · Physics 2024-11-27 David Albandea , Guilherme Catumba , Alberto Ramos

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

On the basis of allowed local gauge symmetries, the QCD Lagrangian admits a CP-violating term proportional to the topological charge density, commonly referred to as the $\theta$ term. A priori, any value of $\theta$ is consistent with the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Anthony G. Williams

We find a solution to the Strong CP problem that may be testable at the LHC and future colliders. In this solution CP is broken by parity conserving terms, while parity breaking VEVs conserve CP. The quark mass matrix is Hermitian at the…

High Energy Physics - Phenomenology · Physics 2011-01-05 Ravi Kuchimanchi

We propose a model that provides a simultaneous solution to the doublet-triplet splitting problem of grand unified theories, the electroweak hierarchy problem and the strong CP problem. The mechanism is based on the dynamics of two…

High Energy Physics - Phenomenology · Physics 2024-11-07 Csaba Csaki , Raffaele Tito D'Agnolo , Eric Kuflik , Pablo Sesma

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

It is shown that the quark mass aligns QCD $\theta$ vacuum in such a way that the strong CP is conserved, resolving the strong CP problem.

High Energy Physics - Phenomenology · Physics 2009-10-31 Taekoon Lee

The strong CP problem is one of many puzzles in the theoretical description of elementary particle physics that still lacks an explanation. While top-down solutions to that problem usually comprise new symmetries or fields or both, we want…

High Energy Physics - Phenomenology · Physics 2018-05-17 J. L. Díaz-Cruz , W. G. Hollik , U. J. Saldaña-Salazar

We propose a novel solution to the Strong CP problem -- to explain why SU(3) strong force has a nearly zero theta angle $\bar\theta_3 \simeq 0$ for the 4d Standard Model (SM). The new ingredient is Symmetric Mass Generation (SMG):…

High Energy Physics - Phenomenology · Physics 2023-01-20 Juven Wang

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

I put forward an SU(2)_L x SU(2)_R x U(1) model in which spontaneously broken parity symmetry makes it that strong CP violation only arises at three-loop level. All leptons and up-type quarks are in doublets either of SU(2)_L or of SU(2)_R,…

High Energy Physics - Phenomenology · Physics 2011-02-01 L. Lavoura