<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo>,</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:math>conversion in nuclei as a probe of new physics

Šimkovic, F.; Faessler, Amand; Kovalenko, Sergey; Schmidt, Iván

doi:10.1103/physrevd.66.033005

Cited by 12 publications

(4 citation statements)

References 34 publications

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“…The best experimental limit on the muon-positron conversion branching ratio has been established at PSI [59] for the 48 Ti nuclear target. The muonic analog of neutrinoless DBD [60,61],…”

Section: Electron-positron Conversionmentioning

confidence: 99%

Theory of neutrinoless double-beta decay

Vergados¹,

Ejiri²,

Šimkovic³

2012

Rep. Prog. Phys.

536

729

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Abstract. Neutrinoless double beta decay, which is a very old and yet elusive process, is reviewed. Its observation will signal that lepton number is not conserved and the neutrinos are Majorana particles. More importantly it is our best hope for determining the absolute neutrino mass scale at the level of a few tens of meV. To achieve the last goal certain hurdles have to be overcome involving particle, nuclear and experimental physics. Nuclear physics is important for extracting the useful information from the data. One must accurately evaluate the relevant nuclear matrix elements, a formidable task. To this end, we review the sophisticated nuclear structure approaches recently been developed, which give confidence that the needed nuclear matrix elements can be reliably calculated employing different methods: a) the various versions of the Quasiparticle Random Phase Approximations, b) the interacting boson model, c) the energy density functional method and d) the large basis Interacting Shell Model. It is encouraging that, for the light neutrino mass term at least, these vastly different approaches now give comparable results. From an experimental point of view it is challenging, since the life times are long and one has to fight against formidable backgrounds. One needs large isotopically enriched sources and detectors with high energy resolution, low thresholds and very low background. If a signal is found, it will be a tremendous accomplishment. Then, of course, the real task is going to be the extraction of the neutrino mass from the observations. This is not trivial, since current particle models predict the presence of many mechanisms other than the neutrino mass, which may contribute or even dominate this process. We will, in particular, consider the following processes: We will show that it is possible to disentangle the various mechanisms and unambiguously extract the important neutrino mass scale, if all the signatures of the reaction are searched in a sufficient number of nuclear isotopes.Neutrinoless double beta decay 2

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“…The best experimental limit on the muon-positron conversion branching ratio has been established at PSI [59] for the 48 Ti nuclear target. The muonic analog of neutrinoless DBD [60,61],…”

Section: Electron-positron Conversionmentioning

confidence: 99%

Theory of neutrinoless double-beta decay

Vergados¹,

Ejiri²,

Šimkovic³

2012

Rep. Prog. Phys.

536

729

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“…N | = 24.2 (53) derived within the pn-RQRPA approach in Ref. [4]. As seen, the matrix elements of the (µ − , e + ) conversion (55) are strongly suppressed in comparison with those of 0νββ-decay (53) by the factors of about 17 and 5 for the light and heavy Majorana neutrino exchange mechanisms respectively.…”

Section: Appendix B: Muon Average Probability Density Over Nucleusmentioning

confidence: 87%

“…These quantities under certain assumptions are related to the entries of the Majorana neutrino mass matrix M (ν) αβ . Among these processes there are a few LNV nuclear processes having prospects for experimental searches: neutrinoless double beta decay (0νββ), muon to positron (µ − , e + ) conversion and, probably, muon to antimuon (µ − , µ + ) conversion [3,4].…”

Section: Introductionmentioning

confidence: 99%

Nuclear(μ−,e+)conversion mediated by Majorana neutrinos

et al. 2004

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We study lepton number violating (LNV) process of (µ − , e + ) conversion in nuclei mediated by the exchange of light and heavy Majorana neutrinos. Nuclear structure calculations have been carried out for the case of experimentally interesting nucleus 48 Ti in the framework of renormalized protonneutron Quasiparticle Random Phase Approximation. We demonstrate that the imaginary part of the amplitude of light Majorana neutrino exchange mechanism gives an appreciable contribution to the (µ − , e + ) conversion rate. This specific feature is absent in the allied case of 0νββ decay. Using the present neutrino oscillations, tritium beta decay, accelerator and cosmological data we derived the limits on the effective masses of light m µe and heavy M −1 N µe neutrinos. The expected rates of nuclear (µ − , e + ) conversion, corresponding to these limits, were found to be so small that even within a distant future the (µ − , e + ) conversion experiments will hardly be able to detect the neutrino signal. Therefore, searches for this LNV process can only rely on the presence of certain physics beyond the trivial extension of the Standard Model by inclusion of massive Majorana neutrinos.

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“…They include: three-body τ lepton and charged pseudoscalar mesons (K ± , D ± , D ± s , B ± , and B ± c ) decays [3,6,7,8,9,10,11,12,13], hyperon decays Σ − → Σ + e − e − , Ξ − → pµ − µ − [14], lepton nuclear conversion processes e − → µ + [15], µ − → e + [7,16] and µ − → µ + [7,17]. These processes can be mediated by the exchange of (light or heavy) virtual massive Majorana neutrinos.…”

Section: Introductionmentioning

confidence: 99%

Effects of heavy Majorana neutrinos in semileptonic heavy quark decays

Delépine

Castro

Quintero

2012

J. Phys.: Conf. Ser.

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Abstract. The experimental observation of lepton number violating (LNV) processes, where the total lepton number is violated by two units (∆L = 2), represents the most appropriate way to address the question of the nature of the neutrinos as Majorana or Dirac particles. LNV processes mediated by the exchange of heavy Majorana neutrinos, such as three-body decays of τ leptons and charged pseudoscalar mesons, have been widely studied. In this work we study the contribution of heavy Majorana neutrinos in LNV four-body semileptonic decays of neutral B mesons and top quarks. We focus in a scenario where a single heavy neutrino can enhance the decay rates of these processes via the resonant mechanism. Using current bounds on heavy neutrino mixings, we find that the branching ratios of these processes can be at the level of 10 −6 to 10 −7 . These decay modes seem to be at the reach of the current and forthcoming experiment, and their experimental search can provide complementary constraints on masses and mixings of heavy Majorana neutrinos.

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(μ−,μ+)conversion in nuclei as a probe of new physics

Cited by 12 publications

References 34 publications

Theory of neutrinoless double-beta decay

Theory of neutrinoless double-beta decay

Nuclear(μ−,e+)conversion mediated by Majorana neutrinos

Effects of heavy Majorana neutrinos in semileptonic heavy quark decays

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