Rephasing-invariant<i>CP</i>violating parameters with Majorana neutrinos

Nieves, José F.; Pal, Palash B.

doi:10.1103/physrevd.64.076005

Cited by 71 publications

(93 citation statements)

References 12 publications

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“…Since both mixing angles θ 13 and θ 23 depend on only one input parameter x. Then we can obtain the following sum rule sin 2 θ 23 = 1 2 ± tan θ 13 2 2 − tan 2 θ 13 1 2 ± √ 2 tan θ 13 2 , (C. 68) where "+" sign in ± is satisfied for x > 0 and "−" for x < 0. Given the experimental 3σ range of θ 13 , we have 0.602 ≤ sin 2 θ 23 ≤ 0.612 or 0.388 ≤ sin 2 θ 23 ≤ 0.398.…”

Section: Other Mixing Patterns With Iomentioning

confidence: 99%

Lepton mixing predictions from S4 in the tridirect CP approach to two right-handed neutrino models

Ding

King

2019

Phys. Rev. D

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We perform an exhaustive analysis of all possible breaking patterns arising from S 4 H CP in a new tri-direct CP approach to the minimal seesaw model with two right-handed neutrinos, and construct a realistic flavour model along these lines. According to this approach, separate residual flavour and CP symmetries persist in the charged lepton, "atmospheric" and "solar" right-handed neutrino sectors, i.e. we have three symmetry sectors rather than the usual two of the semi-direct CP approach (charged leptons and neutrinos). Following the tri-direct CP approach, we find twenty-six kinds of independent phenomenologically interesting mixing patterns. Eight of them predict a normal ordering (NO) neutrino mass spectrum and the other eighteen predict an inverted ordering (IO) neutrino mass spectrum. For each phenomenologically interesting mixing pattern, the corresponding predictions for the PMNS matrix, the lepton mixing parameters, the neutrino masses and the effective mass in neutrinoless double beta decay are given in a model independent way. One breaking pattern with NO spectrum and two breaking patterns with IO spectrum corresponds to form dominance. We find that the lepton mixing matrices of three kinds of breaking patterns with NO spectrum and one form dominance breaking pattern with IO spectrum preserve the first column of the tri-bimaximal (TB) mixing matrix, i.e. yield a TM1 mixing matrix. *

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Section: Other Mixing Patterns With Iomentioning

confidence: 99%

Lepton mixing predictions from S4 in the tridirect CP approach to two right-handed neutrino models

Ding

King

2019

Phys. Rev. D

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“…If this redefinition is performed, the number of phases is reduced to 3, i.e., the 2 Majorana phases on m 2 and m 3 and the Dirac phase δ. Notice that the phase δ is identified easily as the Dirac CP-violating phase from our above parametrization, as can be checked from the calculation of the Jarlskog invariant [41] (see [42][43][44][45][46][47][48][49][50][51][52][53][54] for other possible weak basis invariants).…”

Section: Jhep04(2015)069mentioning

confidence: 99%

A bottom-up approach to lepton flavor and CP symmetries

Everett

Garon

Stuart

2015

J. High Energ. Phys.

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We perform a model-independent analysis of the possible residual Klein and generalized CP symmetries associated with arbitrary lepton mixing angles in the case that there are three light Majorana neutrino species. This approach emphasizes the unique role of the Majorana phases and provides a useful framework in which to discuss the origin of the Dirac CP phase in scenarios with spontaneously broken flavor and generalized CP symmetries. The method is shown to reproduce known examples in the literature based on tribimaximal and bitrimaximal mixing patterns, and is used to investigate these issues for the case of a particular (GR1) golden ratio mixing pattern.

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“…The Dirac-type phases are determined by the four independent arguments of the quartets arg(V 1i V k j V * 1 j V * ki ), with i = j = k and the Majorana-type phases are given by the six independent arguments of the bilinears arg(V i j V * ik ), with j = k. In the SP, these phases are the minimal CP-violation quantities when neutrinos are Majorana particles [23,24,25,26,27,28,29].…”

Section: Cp Violationmentioning

confidence: 99%

A Novel Parametrization for Leptonic Mixing Matrix and CP Violation

Agostinho¹,

Wegman²,

Emmanuel-Costa³

et al. 2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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We study leptonic CP violation from a new perspective. For Majorana neutrinos, a new parametrization for leptonic mixing of the form V = O 23 O 12 K i a · O reveals interesting aspects that are less clear in the standard parametrization. We identify several important scenario-cases with mixing angles in agreement with experiment and leading to large leptonic CP violation. If neutrinos happen to be quasi-degenerate, this new parametrization might be very useful, e.g., in reducing the number of relevant parameters of models. †

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Rephasing-invariantCPviolating parameters with Majorana neutrinos

Cited by 71 publications

References 12 publications

Lepton mixing predictions from S4 in the tridirect CP approach to two right-handed neutrino models

Lepton mixing predictions from S4 in the tridirect CP approach to two right-handed neutrino models

A bottom-up approach to lepton flavor and CP symmetries

A Novel Parametrization for Leptonic Mixing Matrix and CP Violation

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