Neutrino oscillations and consequences for coupling constants λi33(′) of the R̵-Minimal Supersymmetric Standard Model

Haug, O.; Vergados, J.D.; Faessler, Amand; Kovalenko, Sergey

doi:10.1016/s0146-6410(00)00101-0

Cited by 4 publications

(4 citation statements)

References 16 publications

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“…R-parity violating terms may induce a Majorana neutrino mass and may, therefore, lead to 0νββ decay. But the relevant masses are small, at least 10 times smaller [55] than those deduced from the present data. The bilinear terms in the superpotential also lead to mixings between the neutrinos and neutralinos as well as between the leptons and the charginos, leading to lepton violating processes [56].…”

Section: The R-parity Violating Contributioncontrasting

confidence: 77%

Double Beta Decay in Gauge Theories

Vergados

2002

News 99

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Abstract. Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view it pops up in almost every model. In addition to the traditional mechanisms, like the light neutrino mass, λ and η terms etc we can have direct R-parity violating supersymmetric (SUSY) contributions. In any case its observation will severely constrain the existing models and will signal that the neutrinos are massive Majorana particles. From the nuclear physics point of view it is challenging, because: 1) The relevant nuclei have complicated nuclear structure.2) The energetically allowed transitions are exhaust a small part of all the strength. 3) One must cope with the short distance behavior of the transition operators, especially when the intermediate particles are heavy (eg in SUSY models). Thus novel effects, like the double beta decay of pions in flight between nucleons, have to be considered. 4) The intermediate momenta involved are about 100 M eV /c. Thus one has to take into account possible momentum dependent terms in the nucleon current. We find that, for the mass mechanism, such modifications of the nucleon current for light neutrinos reduce the nuclear matrix elements by about 25%, almost regardless of the nuclear model. In the case of heavy neutrino the effect is much larger and model dependent. Taking the above effects into account, the availabe nuclear matrix elements for the experimentally interesting nuclei A = 76, 82, 96, 100, 116, 128, 130, 136 and 150 and the presently available experimental limits on the half-life of the 0νββ-decay we have extracted the following

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Section: The R-parity Violating Contributioncontrasting

confidence: 77%

Double Beta Decay in Gauge Theories

Vergados

2002

News 99

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“…In order to reproduce the experimental results from the solar and atmospheric neutrinos data combination, with three active neutrinos and no sterile neutrino, one must require a large ν µ − ν τ mass hierarchy, m νµ /m ντ = χ ≈ 7 − 40, and a large mixing angle, sin 2 (2θ) > 0.82. The renormalization group evolution produces sneutrino VEVs, General fits to the neutrino oscillation data, using the combined tree and one-loop level contributions, are attempted in several works [235,236,237,238] with the purpose to determining the allowed ranges for the various RPV coupling constants. Haug et al, [236] compare the combined tree and one-loop level contributions from the bilinear interactions and the trilinear interactions, λ i33 , λ ′ i33 , with a phenomenological light neutrinos mass matrix with entries representing upper limits inferred from the oscillation experiments and the ββ 0ν measurements.…”

Section: Combined Bilinear and Trilinear Interactionsmentioning

confidence: 99%

“…The renormalization group evolution produces sneutrino VEVs, General fits to the neutrino oscillation data, using the combined tree and one-loop level contributions, are attempted in several works [235,236,237,238] with the purpose to determining the allowed ranges for the various RPV coupling constants. Haug et al, [236] compare the combined tree and one-loop level contributions from the bilinear interactions and the trilinear interactions, λ i33 , λ ′ i33 , with a phenomenological light neutrinos mass matrix with entries representing upper limits inferred from the oscillation experiments and the ββ 0ν measurements. The subsequent work by Haug et al, [238] examines the compatibility of the LSND data with the three light neutrino generations scenario.…”

Section: Combined Bilinear and Trilinear Interactionsmentioning

confidence: 99%

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Chemtob

2005

Progress in Particle and Nuclear Physics

157

113

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The R parity odd renormalizable Yukawa interactions of quarks and leptons with the scalar superpartners have the ability to violate the baryon and lepton numbers, change the hadron and lepton flavors and make the lightest supersymmetric particle unstable. The existence of an approximate R parity symmetry would thus affect in a deep way the conventional framework of the Minimal Supersymmetric Standard Model where an exact R parity symmetry is built-in by assumption. The purpose of the present review is to survey in a systematic way the direct experimental constraints set on the R parity violating couplings by the low and intermediate energy physics processes. We consider first the option of bilinear R parity violation and spontaneously broken R parity symmetry and proceed next to the trilinear R parity violating interactions. The discussion aims at surveying the indirect coupling constant bounds derived from fundamental tests of the Standard Model and the variety of scattering and rare decay processes. We also discuss the constraints imposed by the renormalization group scale evolution and the cosmological and astrophysical phenomenology. IntroductionThe multiplicative Z 2 symmetry, known as R parity, fulfills a central function in supersymmetry physics. Without R parity symmetry, the Minimal Supersymmetric Standard Model (MSSM) would include bilinear and trilinear renormalizable superpotential terms, coupling the quarks and leptons to their scalar superpartners, which have the ability to initiate fast nucleon decay, large neutrinos masses and the LSP (lightest supersymmetric particle) disintegration into ordinary particles. Thus apart from threatening the nucleon and neutrino stability and contributing to the hadron and lepton flavor changing processes and to neutrino masses and flavor mixing, the R parity odd Yukawa interactions would also disallow any of the supersymmetric cosmic relic particles to contribute to the Universe dark matter component. The R parity symmetry was first introduced in a 1978 work by Farrar and Fayet [1], as part of attempts towards building a realistic particle physics phenomenology of supersymmetry [2,3,4]. This step followed closely in time the major developments in years [1974][1975] which culminated in the construction of supersymmetric field theories [5,6,7], the implementation of spontaneous supersymmetry breaking schemes [8,9] and the discovery of R symmetries [10]. The collection of reprints by Ferrara [11] offers a valuable grasp on the progress of ideas from the early period until the middle 1980's. The subsequent developments are discussed in the review articles [12,13] and the collection of preprints by Salam and Sezgin [14]. As an historical aside on the origin of R symmetries, we note that Wess and Zumino [5] introduced an R quantum number as a weighting index labeling distinct representations of *

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“…Explicit flavor models of this type were constructed, for example, in Refs. [26,27,28]. Equation (3.1) holds in these models.…”

Section: Neutrino Masses From Different Sourcesmentioning

confidence: 97%

Neutrino parameters, Abelian flavor symmetries, and charged lepton flavor violation

Feng

Nir²,

Shadmi³

2000

Phys. Rev. D

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Neutrino masses and mixings have important implications for models of fermion masses, and, most directly, for the charged lepton sector. We consider supersymmetric Abelian flavor models, where neutrino mass parameters are related to those of charged leptons and sleptons. We show that processes such as τ → µγ, µ → eγ and µ − e conversion provide interesting probes. In particular, some existing models are excluded by current bounds, while many others predict rates within reach of proposed near future experiments. We also construct models in which the predicted rates for charged lepton flavor violation are below even the proposed experimental sensitivities, but argue that such models necessarily involve loss of predictive power. 11/991 On leave of absence from Princeton University.

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Neutrino oscillations and consequences for coupling constants λi33(′) of the R̵-Minimal Supersymmetric Standard Model

Cited by 4 publications

References 16 publications

Double Beta Decay in Gauge Theories

Double Beta Decay in Gauge Theories

Phenomenological constraints on broken R parity symmetry in supersymmetry models

Neutrino parameters, Abelian flavor symmetries, and charged lepton flavor violation

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