scholarly journals A 4 and CP symmetry and a model with maximal CP violation

2016 ◽  
Vol 913 ◽  
pp. 110-131 ◽  
Author(s):  
Cai-Chang Li ◽  
Jun-Nan Lu ◽  
Gui-Jun Ding
Keyword(s):  
2004 ◽  
Vol 19 (07) ◽  
pp. 1004-1016 ◽  
Author(s):  
K. R. SCHUBERT

The present status of experimental results for the magnitudes of Cabibbo-Kobayashi-Maskawa matrix elements is reviewed and used for a unitarity test. The matrix is found to be unitary within ±1.8 standard deviations. The matrix violates CP-symmetry and the size of its CP-violation, as derived from only magnitude measurements and unitarity, is in perfect agreement with the observed CP-violations in K and B meson decays.


2021 ◽  
Vol 104 (7) ◽  
Author(s):  
Bu-Yao Qu ◽  
Xiang-Gan Liu ◽  
Ping-Tao Chen ◽  
Gui-Jun Ding

Author(s):  
Steven E. Vigdor

Chapter 1 introduces central themes of the book by dealing with the importance of symmetry principles in physics and of small symmetry violations (or “flaws”) in establishing conditions for life. It provides a visual analog of the combined symmetries of parity (P) and charge conjugation (C) via a drawing by M.C. Escher. Escher’s signature represents a small imperfection in the drawing’s otherwise nearly perfect symmetry, inspiring the book’s title. This chapter argues that a well-tuned violation of the combined CP symmetry (i.e., a CP violation) is necessary to establish a preference for matter over antimatter (i.e., matter–antimatter asymmetry), while still allowing for a long-lived universe that resists gravitational collapse. The chapter establishes the book’s focus on the intricate tapestry of inventive experiments physicists are pursuing to expose and quantify the extent of these tiny flaws.


2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gilad Perez ◽  
Aviv Shalit

Abstract We discuss composite UV completions of the Nelson-Barr(NB) solution to the strong CP problem. In our construction, the CP symmetry is broken spontaneously by the dynamics of a hidden QCD at θ = π. We focus on the minimal implementation of the NB construction, where the visible sector contains one extra pair of vector-like up/down quarks. We show that the minimal NB theory suffers from a quality problem and discuss how composite UV completions may resolve it. We present a simple calculable scheme, free of a quality problem, where dynamical CP violation in the hidden sector is mediated through a scalar portal to the visible sector, which successfully realizes the NB construction.


2018 ◽  
Vol 33 (05n06) ◽  
pp. 1842006 ◽  
Author(s):  
C. Hagedorn ◽  
R. N. Mohapatra ◽  
E. Molinaro ◽  
C. C. Nishi ◽  
S. T. Petcov

We review the current status of the data on neutrino masses and lepton mixing and the prospects for measuring the CP-violating phases in the lepton sector. The possible connection between low energy CP violation encoded in the Dirac and Majorana phases of the Pontecorvo–Maki–Nakagawa–Sakata mixing matrix and successful leptogenesis is emphasized in the context of seesaw extensions of the Standard Model with a flavor symmetry [Formula: see text] (and CP symmetry).


2018 ◽  
Vol 33 (31) ◽  
pp. 1844008
Author(s):  
Peter Minkowski

We present two original derivations of the restoration of C and CP symmetry within QCD, simplest in “standalone QCD” but extendable to include conserved QED, in the limit [Formula: see text]


2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Xin Wang ◽  
Shun Zhou

Abstract In a class of neutrino mass models with modular flavor symmetries, it has been observed that CP symmetry is preserved at the fixed point (or stabilizer) of the modulus parameter τ = i, whereas significant CP violation emerges within the neighbourhood of this stabilizer. In this paper, we first construct a viable model with the modular $$ {A}_5^{\prime } $$ A 5 ′ symmetry, and explore the phenomenological implications for lepton masses and flavor mixing. Then, we introduce explicit perturbations to the stabilizer at τ = i, and present both numerical and analytical results to understand why a small deviation from the stabilizer leads to large CP violation. As low-energy observables are very sensitive to the perturbations to model parameters, we further demonstrate that the renormalization-group running effects play an important role in confronting theoretical predictions at the high-energy scale with experimental measurements at the low-energy scale.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hiroshi Okada ◽  
Morimitsu Tanimoto

Abstract We discuss the modular A4 invariant model of leptons combining with the generalized CP symmetry. In our model, both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus τ. The source of the CP violation is a non-trivial value of Re[τ] while other parameters of the model are real. The allowed region of τ is in very narrow one close to the fixed point τ = i for both normal hierarchy (NH) and inverted ones (IH) of neutrino masses. The CP violating Dirac phase δCP is predicted clearly in [98°, 110°] and [250°, 262°] for NH at 3 σ confidence level. On the other hand, δCP is in [95°, 100°] and [260°, 265°] for IH at 5 σ confidence level. The predicted ∑mi is in [82, 102] meV for NH and ∑mi = [134, 180] meV for IH. The effective mass 〈mee〉 for the 0νββ decay is predicted in [12.5, 20.5] meV and [54, 67] meV for NH and IH, respectively.


2007 ◽  
Vol 16 (05) ◽  
pp. 1557-1570
Author(s):  
SHOICHI ICHINOSE

It is shown that Randall–Sundrum model has the EDM term which violates the CP-symmetry. The comparison with the case of Kaluza–Klein theory is done. The chiral property, localization, anomaly phenomena are examined. We evaluate the bulk quantum effect using the method of the induced effective action. This is a new origin of the CP-violation.


1997 ◽  
Vol 12 (37) ◽  
pp. 2829-2835 ◽  
Author(s):  
C. S. Lim

A viable formulation of gauge theory with extra generations in terms of quaternionic fields is presented. For the theory to be acceptable, the number of generations should be ≥ 4. The quark–lepton mass matrices are generalized into quaternionic matrices. It is concluded that explicit CP-violation automatically disappears in both strong- and weak-interaction sectors.


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