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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 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 recent paper "What can solve the strong CP problem?" goes counter to conventional wisdom by arguing that the universe was in an initial state that combines different eigenstates of $\theta$ (of the theta vacuum of QCD), and asserts that…

High Energy Physics - Phenomenology · Physics 2025-06-03 Ravi Kuchimanchi

There is a natural solution to the strong CP problem in the Minimal Supersymmetric Standard Model if it arises from a parity symmetric theory which is spontaneously broken to MSSM at Planck, GUT or intermediate scales. The strong CP phase…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ravi Kuchimanchi

We present a new class of models which produce zero theta (QCD} angle at the tree and one-loop level due to hermiticity of sub-blocks in the extended quark mass matrices. The structure can be maintained typically by non-abelian generation…

High Energy Physics - Phenomenology · Physics 2009-09-01 Darwin Chang , Wai-Yee Keung

In the standard model QCD Lagrangian, a term of CP violating gluon density is theoretically expected to have a physical coefficient $\bar{\theta}$ of the order of unity. However, the upper bound on the electric dipole moment of neutron…

High Energy Physics - Phenomenology · Physics 2023-07-12 Pei-Hong Gu

A beyond the standard model theory that respects parity symmetry at short distances is known to provide a solution to the strong CP problem without the need for an axion, while keeping the CKM phase unconstrained. In this paper we present a…

High Energy Physics - Phenomenology · Physics 2019-06-26 Yukihiro Mimura , Rabindra N. Mohapatra , Matt Severson

One may argue that QCD solves the strong CP problem by itself, without having to introduce new symmetries and particles. To test this idea, a lattice simulation is performed. The problem is investigated in the CP$^3$ model first. It is…

High Energy Physics - Lattice · Physics 2007-05-23 G. Schierholz

We show using the Hamiltonian formalism that if parity is a good symmetry of QCD, then the strong CP phase $\bar{\theta}$ must be $0$ or $\pi$. We find that for $P$ to be a physical symmetry, it must leave the Hilbert space…

High Energy Physics - Phenomenology · Physics 2025-09-25 Ravi Kuchimanchi

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

Imposing CP or P forces the QCD topological angle to be either $\bar\theta=0$ or $\bar\theta=\pi$. However, only the former is phenomenologically viable. This implies that the assumption of CP or P alone cannot provide a framework for…

High Energy Physics - Phenomenology · Physics 2025-07-17 Luca Vecchi

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

Parity solutions to the strong CP problem are a compelling alternative to approaches based on Peccei-Quinn symmetry, particularly given the expected violation of global symmetries in a theory of quantum gravity. The most natural of these…

High Energy Physics - Phenomenology · Physics 2021-10-04 Nathaniel Craig , Isabel Garcia Garcia , Giacomo Koszegi , Amara McCune

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

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

It is argued that QCD might solve the strong CP problem on its own. To test this idea, a lattice simulation suggests itself. In view of the difficulty of such a calculation we have, as a first step, investigated the problem in the $CP^3$…

High Energy Physics - Lattice · Physics 2015-06-25 G. Schierholz

We propose theories of a complete mirror world with parity (P) solving the strong CP problem. P exchanges the entire Standard Model (SM) with its mirror copy. We derive bounds on the two new mass scales that arise: $v'$ where parity and…

High Energy Physics - Phenomenology · Physics 2023-11-03 Quentin Bonnefoy , Lawrence Hall , Claudio Andrea Manzari , Christiane Scherb

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

We solve the strong CP problem in a broad class of two Higgs doublet theories that will be probed at the Large Hadron Collider and at future colliders. These theories feature CP and Abelian flavor symmetries, both broken softly in the…

High Energy Physics - Phenomenology · Physics 2025-06-20 Quentin Bonnefoy , Lawrence J. Hall , Claudio Andrea Manzari , Bea Noether

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
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