CP violation and Fritzsch mass matrices

Pseudoscalars appearing in particle physics are reviewd systematically. From the fundamental point of view at an ultra-violat completed theory, they can be light if they are realized as pseudo-Goldstone bosons of some spontaneously broken global symmetries. The spontaneous breaking scale is parametrized by the decay constant f . The global symmetry is defined by the lowest order terms allowed in the effective theory consistent with the gauge symmetry in question. Since any global symmetry is known to be broken at least by quantum gravitational effects, all pseudoscalars should be massive. The mass scale is determined by f and the explicit breaking terms ∆V in the effective potential and also anomaly terms ∆Λ 4 G for some non-Abelian gauge groups G. The well-known example by non-Abelian gauge group breaking is the potential for the "invisible" QCD axion, via the Peccei-Quinn symmetry, which constitutes a major part of this review. Even if there is no breaking terms from gauge anomalies, there can be explicit breaking terms ∆V in the potential in which case the leading term suppressed by f determines the pseudoscalar mass scale. If the breaking term is extremely small and the decay constant is trans-Planckian, the corresponding pseudoscalar can be a candidate for a 'quintessential axion'. In general, (∆V ) 1/4 is considered to be smaller than f , and hence the pseudo-Goldstone boson mass scales are considered to be smaller than the decay constants. In such a case, the potential of the pseudo-Goldstone boson at the grand unification scale is sufficiently flat near the top of the potential that it can be a good candidate for an inflationary model, which is known as 'natural inflation'. We review all these ideas in the bosonic collective motion framework.

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“…In the example of Georgi, Nelson and Shin, the CKM phase was determined at π 2[65], but an ansatz was used there.…”

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confidence: 99%

Fate of global symmetries in the Universe: QCD axion, quintessential axion and trans-Planckian inflaton decay constant

Kim

Nam

Semetzidis

2018

Int. J. Mod. Phys. A

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“…The maximal CP violation is an attractive idea from the theoretical point of view. For example, from U(1) 3 symmetry, Georgi, Nelson and Shin tried to obtain the phase π 2 which however has led to an unacceptably large generation of the vacuum angle θ weak [4]. The CKM matrix can be expanded in terms of a parameter λ which has been suggested as a superheavy mass ratio by Froggatt and Nielsen(FN) [5].…”

Section: Introductionmentioning

confidence: 99%

The CKM matrix with maximal CP violation from Z(12) symmetry

Kim

2011

Preprint

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The recent accurate determination of the CKM parameters including the maximal CP phase π 2 enables us to write down the up-type and down-type quark mass matrices to a high degree of accuracy. The lightest element(ūu element) of the quark mass texture (not the mass eigenvalue) has a power λ 6 where λ = sin θC. The CP phase of 2π divided by an integer hints a discrete symmetry. Since λ 6 is the highest power of λ among the quark mass matrix elements, we present as an example a possibility that the maximal CP phase π 2 is obtainable from a supersymmetric Z12 discrete symmetry model.

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“…In any other parametrization of the CKM matrix, the same conclusion on maximality would result. The maximal CP phase was anticipated in [17] and can be modeled as shown in [18].…”

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confidence: 99%

Final state interaction phases obtained by data from CP asymmetries

Kim

Nam

2015

Journal of the Korean Physical Society

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Evidence of physics beyond the Standard Model (SM) of particle physics might be revealed through CP violation. Experimental results from BaBar, Belle, and most recently from LHCb are very interesting in this respect. It is important to calculate various CP violation parameters within the SM. In this Letter, the final state interaction (FSI) phases with the CKM matrix are calculated using the recent experimental results from LHCb on CP violation in B 0 and B 0 s meson decays. To obtain the allowed regions of the FSI phases, a simplified form of the Jarlskog determinant of the CKM matrix is used and the CP phase δ close to the maximal value of π/2 is found. Then, the asymmetry data on B 0 and B 0 s from LHCb is used to explore graphically the allowed regions of the FSI phases.

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CP violation and Fritzsch mass matrices

Cited by 46 publications

References 4 publications

Fate of global symmetries in the Universe: QCD axion, quintessential axion and trans-Planckian inflaton decay constant

Fate of global symmetries in the Universe: QCD axion, quintessential axion and trans-Planckian inflaton decay constant

The CKM matrix with maximal CP violation from Z(12) symmetry

Final state interaction phases obtained by data from CP asymmetries

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