arXiv subjects

M. N. Rebelo

Publications and source records attributed to M. N. Rebelo.

84 records · Page 5Linked to original sources

arXiv2001

Split Fermions in Extra Dimensions and CP Violation

We discuss CP violation in the quark sector within a novel approach to the Yukawa puzzle proposed by Arkani-Hamed and Schmaltz, where Yukawa hierarchies result from localising the Standard Model quark field wave-functions, at different positions (in the extra dimensions) in a ``fat-brane.'' We show that at least two extra dimensions are necessary in order to obtain sufficient CP violation while reproducing the correct quark mass spectrum and mixing angles.

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arXiv2000

Reply to ``Is $U_{e3}$ really related to the solar neutrino solutions?''

In a recent paper [1] we showed that, assuming no fine tuning between certain elements of the neutrino mass matrix, one can link the element U_{e3} of the lepton mixing matrix to solar and atmospheric neutrino oscillation parameters. This result has been recently criticized by Haba and Suzuki [2]. In the present note we show that their criticism is not valid and just reflects their failure to understand the content of our paper.

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arXiv2000

Mixing and CP violation with Quasidegenerate Majorana Neutrinos

We study the exactly degenerate case for three lefthanded Majorana neutrinos building a general parametrization for the leptonic mixing matrix characterized by two angles and one CP violating phase and identify a weak-basis invariant relevant, in this case, for CP violation. After lifting the degeneracy, this parametrization accommodates the present data on atmospheric and solar neutrinos, as well as neutrinoless double beta decay. Some of the leptonic mixing ansätze suggested in the literature correspond to special cases of this parametrization.

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arXiv2000

Large Neutrino Mixing with Universal Strength of Yukawa Couplings

We analyse, within the framework of universal strength for Yukawa couplings (USY), various structures for the Dirac and Majorana neutrino mass matrices giving rise, through the see-saw mechanism, to a degenerate mass spectrum. A specific USY ansatz is presented for the charged lepton and neutrino effective mass matrix, leading to quasi-degenerate neutrinos and a leptonic mixing matrix which provides a large angle solution for both the atmospheric and solar neutrino problems.

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arXiv1999

Linking solar and long baseline terrestrial neutrino experiments

We show that in the framework of three light neutrino species with hierarchical masses and assuming no fine tuning between the entries of the neutrino mass matrix, one can use the solar neutrino data to obtain information on the element $U_{e3}$ of the lepton mixing matrix. Conversely, a measurement of $U_{e3}$ in atmospheric or long baseline accelerator or reactor neutrino experiments would help discriminate between possible oscillation solutions of the solar neutrino problem.

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arXiv1999

Seesaw mechanism and structure of neutrino mass matrix

We consider the seesaw mechanism of neutrino mass generation in the light of our present knowledge of the neutrino masses and mixing. We analyse the seesaw mechanism constrained by the following assumptions: (1) minimal seesaw with no Higgs triplets, (2) hierarchical Dirac masses of neutrinos, (3) large lepton mixing primarily or solely due to the mixing in the right-handed neutrino sector, and (4) unrelated Dirac and Majorana sectors of neutrino masses. We show that large mixing governing the dominant channel of the atmospheric neutrino oscillations can be naturally obtained and point out that this constrained seesaw mechanism favours the normal mass hierarchy for the light neutrinos leading to a small $V_{e3}$ entry of the lepton mixing matrix and a mass scale of the lightest right handed neutrino $M\simeq 10^{10} - 10^{11}$ GeV. Any of the three main neutrino oscillation solutions to the solar neutrino problem can be accommodated. The inverted mass hierarchy and quasi-degeneracy of neutrinos are disfavoured in our scheme.

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arXiv1998

Degenerate and Quasi Degenerate Majorana Neutrinos

We study mixing and CP violation of three left-handed Majorana neutrinos in the limit of exactly degenerate masses, identify the weak-basis invariant relevant for CP violation and show that the leptonic mixing matrix is parametrized only by two angles and one phase. After the lifting of the degeneracy, this parametrization accommodates the present data on atmospheric and solar neutrinos, as well as double beta decay. Some of the leptonic mixing ansatze suggested in the literature correspond to special cases of this parametrization.

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arXiv1998

Quark Mass Hierarchy, FCNC and CP violation in a Seesaw model

The seesaw model of quark masses is studied systematically, focusing on its developments. A framework allowing the top quark mass to be of the order of the electroweak symmetry breaking scale, while the remaining light quarks have much smaller masses, due to the seesaw mechanism, is presented. The violation of the GIM mechanism is shown to be small and the tree level FCNC are suppressed naturally. In this model, there are many particles which could contribute to the FCNC in the one-loop level. Parameters of the model are constrained by using the experimental data on K^0-\bar{K}^0 mixing and ε_K. The rare K meson decays K_{L,S} -> π^0 ν\barν and K^+ -> π^+ ν\barν are also investigated in the model. In these processes the scalar operators (\bar{s}d)(\barν_τν_τ), which are derived from box diagrams in the model, play an important role due to an enhancement factor M_K/m_s in the matrix element <π|\bar{s}d|K>. It is emphasized that the K_L decay process through the scalar operator is not the CP violating mode, so B(K_L -> π^0 ν\barν) remains non-zero even in the CP conserved limit. The pion energy spectra for these processes are predicted.

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arXiv1998

Quasi degenerate Neutrino Masses with Universal Strength Yukawa Couplings

A simple ansatz is proposed for neutrino and charged lepton mass matrices, within the framework of universal strength for Yukawa couplings. In this framework all Yukawa couplings have equal moduli and the flavour dependence is only in their phases. We take into account the solar neutrino deficit and the atmospheric neutrino anomaly, assuming three neutrino families only. The ansatz leads in a natural way to small mixing involving neutrinos of quasi degenerate masses, as required to explain the solar neutrino deficit in the nonadiabatic MSW solution, while having the large mixing necessary to explain the atmospheric neutrino anomaly.

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arXiv1997

The top quark mass and flavor mixing in a Seesaw model of Quark Masses

The top quark mass and the flavor mixing are studied in the context of a Seesaw model of Quark Masses based on the gauge group $SU(2)_L \times SU(2)_R \times U(1)$. Six isosinglet quarks are introduced to give rise to the mass hierarchy of ordinary quarks. In this scheme, we reexamine a mechanism for the generation of the top quark mass. It is shown that, in order to prevent the Seesaw mechanism to act for the top quark, the mass parameter of its isosinglet partner must be much smaller than the breaking scale of $SU(2)_R$. As a result the fourth lightest up quark must have a mass of the order of the breaking scale of $SU(2)_R$, and a large mixing between the right-handed top quark and its singlet partner occurs. We also show that this mechanism is compatible with the mass spectrum of light quarks and their flavor mixing.

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arXiv1995

Automorphisms in Gauge Theories and the Definition of CP and P

We study the possibilities to define CP and parity in general gauge theories by utilizing the intimate connection of these discrete symmetries with the group of automorphisms of the gauge Lie algebra. Special emphasis is put on the scalar gauge interactions and the CP invariance of the Yukawa couplings.

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arXiv1995

$D^0 - \bar D^0$ Mixing in the Presence of Isosinglet Quarks

We analyse $ΔC=2$ transitions in the framework of a minimal extension of the Standard Model where either a $Q=2/3$ or a $Q=-1/3$ isosinglet quark is added to the standard quark spectrum. In the case of a $Q=2/3$ isosinglet quark, it is shown that there is a significant region of parameter space where $D^0 - \bar D^0$ mixing is sufficiently enhanced to be observed at the next round of experiments. On the contrary, in the case of a $Q=-1/3$ isosinglet quark, it is pointed out that obtaining a substancial enhancement of $D^0 - \bar D^0$ mixing, while complying with the experimental constraints on rare kaon decays, requires a contrived choice of parameters.

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