Generation of a KM phase from spontaneous CP breaking at a high energy scale

Bento, Luís; Branco, G.C.

doi:10.1016/0370-2693(90)90697-5

Cited by 46 publications

(70 citation statements)

References 13 publications

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“…Since in the above scenario we have assumed CP invariance at the Lagrangian level, the quark Yukawa couplings will also be real. It has been shown [18] that the phase θ of S can still generate unsuppressed CP violation in the quark sector at low energies, provided one introduces at least one isosinglet vector-like quark. These vector-like quarks play a rôle analogous to the one played by right-handed neutrinos in the leptonic sector, in the sense that they allow the phase θ to be seen by the charged W interactions connecting standard quarks.…”

Section: A Model With Spontaneous Cp Violation At a High Energy Scalementioning

confidence: 99%

A bridge between CP violation at low energies and leptogenesis

et al. 2001

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We discuss the possibility of relating the size and sign of the observed baryon asymmetry of the universe to CP violation observable at low energies, in a framework where the observed baryon asymmetry is produced by leptogenesis through the out of the equilibrium decay of heavy Majorana neutrinos. We identify the CP violating phases entering in leptogenesis as well as those relevant for CP violation at low energies in the minimal seesaw model. We show that although in general there is no relation between these two sets of phases, there are specific frameworks in which such a connection may be established and we give a specific grand unification inspired example where such a connection does exist. We construct weak-basis invariants related to CP violation responsible for leptogenesis, as well as those relevant for CP violation at low energies. * gbranco@thwgs.cern.ch and

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Section: A Model With Spontaneous Cp Violation At a High Energy Scalementioning

confidence: 99%

A bridge between CP violation at low energies and leptogenesis

et al. 2001

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“…It can be shown [456] that the presence in the scalar potential of terms like (S 2 + S * 2 ), (S 4 + S * 4 ), implies that there is a region of parameters where the minimum is at the S of eq. (315), with α a non-trivial phase.…”

Section: A Minimal Realistic Model With Spontaneous Cp Violationmentioning

confidence: 99%

Theory and phenomenology of two-Higgs-doublet models

et al. 2012

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We discuss theoretical and phenomenological aspects of two-Higgs-doublet extensions of the Standard Model. In general, these extensions have scalar mediated flavour changing neutral currents which are strongly constrained by experiment. Various strategies are discussed to control these flavour changing scalar currents and their phenomenological consequences are analysed. In particular, scenarios with natural flavour conservation are investigated, including the so-called type I and type * E-mail: gbranco@ist.utl.pt † E-mail: ferreira@cii.fc.ul.pt ‡ E-mail: balio@cftp.ist.utl.pt § E-mail: rebelo@ist.utl.pt ¶ E-mail: mtsher@wm.edu E-mail: jpsilva@cftp.ist.utl.pt 1 II models as well as lepton-specific and inert models. Type III models are then discussed, where scalar flavour changing neutral currents are present at tree level, but are suppressed by either specific ansatze for the Yukawa couplings or by the introduction of family symmetries leading to a natural suppression mechanism. We also consider the phenomenology of charged scalars in these models. Next we turn to the role of symmetries in the scalar sector. We discuss the six symmetry-constrained scalar potentials and their extension into the fermion sector. The vacuum structure of the scalar potential is analysed, including a study of the vacuum stability conditions on the potential and the renormalization-group improvement of these conditions is also presented. The stability of the tree level minimum of the scalar potential in connection with electric charge conservation and its behaviour under CP is analysed. The question of CP violation is addressed in detail, including the cases of explicit CP violation and spontaneous CP violation. We present a detailed study of weak basis invariants which are odd under CP. These invariants allow for the possibility of studying the CP properties of any two-Higgs-doublet model in an arbitrary Higgs basis. A careful study of spontaneous CP violation is presented, including an analysis of the conditions which have to be satisfied in order for a vacuum to violate CP. We present minimal models of CP violation where the vacuum phase is sufficient to generate a complex CKM matrix, which is at present a requirement for any realistic model of spontaneous CP violation.

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“…Latter it has been successfully applied on models based on SO(10) [42,43] and other extensions of Standard Model [44][45][46]. complex vev [55] or in a mixed situation [56][57][58].…”

Section: Introductionmentioning

confidence: 99%

SpontaneousCPviolation in lepton-sector: A common origin forθ13, the DiracCPphase, and leptogenesis

Karmakar

Sil

2016

Phys. Rev. D

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A possible interplay between the two terms of the general type-II seesaw formula is exercised which leads to the generation of nonzero θ 13 . The specific flavor structure of the model, guided by the A 4 × Z 4 × Z 3 symmetry and accompanied with the Standard Model singlet flavons, yields the conventional seesaw contribution to produce the tribimaximal lepton mixing which is further corrected by the presence of the SU (2) L triplet contribution to accommodate θ 13 . We consider the CP symmetry to be spontaneously broken by the complex vacuum expectation value (vev) of a singlet field S. While the magnitude of its complex vev is responsible for generating θ 13 , its phase part induces the low energy CP violating phase (δ) and the CP violation required for leptogenesis. Hence the triplet contribution, although sub-dominant, plays crucial role in providing a common source for non-zero θ 13 , δ and CP-violation required for leptogenesis. We find that the recent hint for δ close to 3π/2 is somewhat favored in this set-up though it excludes the exact equality with 3π/2. We also discuss the generation of lepton asymmetry in this scenario.

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Generation of a KM phase from spontaneous CP breaking at a high energy scale

Cited by 46 publications

References 13 publications

A bridge between CP violation at low energies and leptogenesis

A bridge between CP violation at low energies and leptogenesis

Theory and phenomenology of two-Higgs-doublet models

SpontaneousCPviolation in lepton-sector: A common origin forθ13, the DiracCPphase, and leptogenesis

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