CP restrictions on quark mass matrices

Bernabéu, J.; Branco, G.C.; Gronau, Michael

doi:10.1016/0370-2693(86)90659-3

Cited by 190 publications

(218 citation statements)

References 4 publications

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“…As we will see, since the real part of the resultant complex matrix exhibits µτ antisymmetry, we call the implemented CP symmetry as a complex extended µτ antisymmetry or simply where the hermitian combinations are introduced as 66,67]. A common CP symmetry G in both the sectors would imply…”

Section: Complex Extension Of µτ Antisymmetrymentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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We propose a complex extension of µτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of µτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.

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Section: Complex Extension Of µτ Antisymmetrymentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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“…Obviously, these WB invariants should be written in terms of m ν and m l . It is well known that, in the quark sector of the SM with three generations, there is only one CP-odd WB invariant which controls CP violation at low energies, namely, (Bernabeu et al, 1986;Gronau et al, 1986),…”

Section: Weak-basis Invariants and Low-energy Cp Violationmentioning

confidence: 99%

LeptonicCPviolation

Branco¹,

Felipe

Joaquim³

2012

Rev. Mod. Phys.

202

188

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Several topics on CP violation in the lepton sector are reviewed. A few theoretical aspects concerning neutrino masses, leptonic mixing, and CP violation will be covered, with special emphasis on seesaw models. A discussion is provided on observable effects which are manifest in the presence of CP violation, particularly, in neutrino oscillations and neutrinoless double beta decay processes, and their possible implications in collider experiments such as the LHC. The role that leptonic CP violation may have played in the generation of the baryon asymmetry of the Universe through the mechanism of leptogenesis is also discussed.

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“…17 However, we shall allow the Higgs-fermion couplings to be complex (and hence 16 A type-I model can also be defined as a model in which η U,0…”

Section: Rametersmentioning

confidence: 99%

“…Clearly, the two definitions are equivalent, since the difference in the two conditions is simply an interchange of Φ 1 and Φ 2 which can be viewed as a change of basis. 17 As noted at the end of section IV, one can extend the class of basis transformations to O(2). In this case, one should distinguish between true O(2)-invariants and pseudo-invariants that change sign under an O(2) transformation with determinant −1.…”

Section: Rametersmentioning

confidence: 99%

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D72, 035004 (2005)]

Davidson¹,

Haber²

2005

Phys. Rev. D

308

466

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In the most general two-Higgs-doublet model (2HDM), unitary transformations between the two Higgs fields do not change the functional form of the Lagrangian. All physical observables of the model must therefore be independent of such transformations (i.e., independent of the Lagrangian basis choice for the Higgs fields). We exhibit a set of basis-independent quantities that determine all tree-level Higgs couplings and masses. Some examples of the basis-independent treatment of 2HDM discrete symmetries are presented. We also note that the ratio of the neutral Higgs field vacuum expectation values, tan β, is not a meaningful parameter in general, as it is basis-dependent.Implications for the more specialized 2HDMs (e.g., the Higgs sector of the MSSM and the so-called Type-I and Type-II 2HDMs) are explored.

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CP restrictions on quark mass matrices

Cited by 190 publications

References 4 publications

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

LeptonicCPviolation

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D72, 035004 (2005)]

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