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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

The strong CP problem can be solved if the laws of nature are invariant under a space-time parity exchanging the Standard Model with its mirror copy. We review and extend different realizations of this idea with the aim of discussing Dark…

High Energy Physics - Phenomenology · Physics 2023-10-23 Michele Redi , Andrea Tesi

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

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

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

A new solution to the strong CP problem with distinct experimental signatures (long-lived particles) at the LHC is proposed. It is based on the Yukawa interactions between mirror quarks, Standard Model (SM) quarks and Higgs singlets.…

High Energy Physics - Phenomenology · Physics 2018-10-29 P. Q. Hung

An exact spacetime parity replicates the $SU(2) \times U(1)$ electroweak interaction, the Higgs boson $H$, and the matter of the Standard Model. This "Higgs Parity" and the mirror electroweak symmetry are spontaneously broken at scale $v' =…

High Energy Physics - Phenomenology · Physics 2019-07-12 David Dunsky , Lawrence J. Hall , Keisuke Harigaya

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 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

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

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 the invariance of physical picture under a change of Lagrangian, the reparametrization invariance in the space of Lagrangians and its particular case -- the rephrasing invariance, for analysis of the two-Higgs-doublet extension of…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ilya F. Ginzburg , Maria Krawczyk

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

A new possibility for solving the strong CP-problem is suggested,which assumes that apart of the ordinary world of observable particles described by standard model, there exits a mirror sector of particles and two sectors share the same…

High Energy Physics - Phenomenology · Physics 2009-10-31 Zurab Berezhiani , Leonida Gianfagna , Maurizio Giannotti

The CP violation gives rise to severe restriction of soft breaking terms in supersymmetric standard models. Among them, constraints on the holomorphic soft mass of Higgs doublets (the B parameter) are difficult to satisfy due to the other…

High Energy Physics - Phenomenology · Physics 2010-04-05 Masahiro Yamaguchi , Koichi Yoshioka

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

A new solution to the strong CP problem with distinct experimental signatures at the LHC is proposed. It is based on the Yukawa interactions between mirror quarks, Standard Model (SM) quarks and Higgs singlets. (Mirror quarks and leptons…

High Energy Physics - Phenomenology · Physics 2017-04-28 P. Q. Hung

We investigate spatial behaviors of the CP-violating angle $\theta$ by solving the equation of motion of the two-Higgs-doublet model in the presence of a small explicit CP breaking $\delta$. The moduli of the two Higgs scalars are fixed to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Koichi Funakubo , Akira Kakuto , Shoichiro Otsuki , Fumihiko Toyoda

Setting aside anthropic arguments, there is no reason for CP symmetry to be obeyed within the theory of quantum chromodynamics. However, no such violation of CP symmetry has ever been observed in a strongly interacting experiment. This is…

High Energy Physics - Phenomenology · Physics 2021-08-11 Drew Backhouse

For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful…

High Energy Physics - Phenomenology · Physics 2017-09-13 O. M. Ogreid , P. Osland , M. N. Rebelo
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