Tests of low-scale leptogenesis in charged lepton flavour violation experiments

Granelli, A.; Klarić, J.; Petcov, S.T.

doi:10.1016/j.physletb.2022.137643

Tests of low-scale leptogenesis in charged lepton flavour violation experiments

A. Granelli (SISSA, Trieste, Italy; INFN, Sezione di Trieste, Trieste, Italy; IFPU, Trieste, Italy) ; J. Klarić (Centre for Cosmology, Particle Physics and Phenomenology, Université Catholique de Louvain, Louvain-la-Neuve, Belgium) ; S.T. Petcov (SISSA, Trieste, Italy; INFN, Sezione di Trieste, Trieste, Italy; Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Japan)

We consider low-energy tests of low-scale leptogenesis based on the type I seesaw scenario with three right-handed singlet neutrinos $ν_{l R}$ . In this scenario, successful leptogenesis is possible for quasi-degenerate in mass heavy Majorana neutrinos $N_{1, 2, 3}$ , $M_{1, 2, 3} ≅ M$ , $| M_{j} - M_{i} | ≪ M$ , $i \neq j = 1, 2, 3$ , heavy Majorana neutrino masses $M \sim (0.05 - 5 \times 10^{5})$ GeV, and $N_{j}$ charged current and neutral current weak interaction couplings as large as $O (10^{- 2})$ . We derive the constraints on the corresponding leptogenesis parameter space from the existing data from low-energy experiments, including the limits from the experiments on $μ \to e γ$ decay and on the rate of $μ - e$ conversion in gold. We show also that the planned and upcoming experiments on charged lepton flavour violation with $μ^{\pm}$ , MEG II on the $μ \to e γ$ decay, Mu3e on $μ \to e e e$ decay, Mu2e and COMET on $μ - e$ conversion in aluminium and PRISM/PRIME on $μ - e$ conversion in titanium, can probe significant region of the viable leptogenesis parameter space, and thus have a potential for a discovery. Experiments on $τ \to e e e (μ μ μ)$ and $τ \to e (μ) γ$ decays (e.g., BELLE II) also can probe a part of the leptogenesis parameter space, although a relatively small one.

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      "value": "We consider low-energy tests of low-scale leptogenesis based on the type I seesaw scenario with three right-handed singlet neutrinos <math><msub><mrow><mi>\u03bd</mi></mrow><mrow><mi>l</mi><mi>R</mi></mrow></msub></math>. In this scenario, successful leptogenesis is possible for quasi-degenerate in mass heavy Majorana neutrinos <math><msub><mrow><mi>N</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msub></math>, <math><msub><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msub><mo>\u2245</mo><mi>M</mi></math>, <math><mo>|</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>\u2212</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>|</mo><mo>\u226a</mo><mi>M</mi></math>, <math><mi>i</mi><mo>\u2260</mo><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></math>, heavy Majorana neutrino masses <math><mi>M</mi><mo>\u223c</mo><mo>(</mo><mn>0.05</mn><mo>\u2212</mo><mn>5</mn><mo>\u00d7</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>5</mn></mrow></msup><mo>)</mo></math> GeV, and <math><msub><mrow><mi>N</mi></mrow><mrow><mi>j</mi></mrow></msub></math> charged current and neutral current weak interaction couplings as large as <math><mi>O</mi><mo>(</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>\u2212</mo><mn>2</mn></mrow></msup><mo>)</mo></math>. We derive the constraints on the corresponding leptogenesis parameter space from the existing data from low-energy experiments, including the limits from the experiments on <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math> decay and on the rate of <math><mi>\u03bc</mi><mo>\u2212</mo><mi>e</mi></math> conversion in gold. We show also that the planned and upcoming experiments on charged lepton flavour violation with <math><msup><mrow><mi>\u03bc</mi></mrow><mrow><mo>\u00b1</mo></mrow></msup></math>, MEG II on the <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math> decay, Mu3e on <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>e</mi><mi>e</mi></math> decay, Mu2e and COMET on <math><mi>\u03bc</mi><mo>\u2212</mo><mi>e</mi></math> conversion in aluminium and PRISM/PRIME on <math><mi>\u03bc</mi><mo>\u2212</mo><mi>e</mi></math> conversion in titanium, can probe significant region of the viable leptogenesis parameter space, and thus have a potential for a discovery. Experiments on <math><mi>\u03c4</mi><mo>\u2192</mo><mi>e</mi><mi>e</mi><mi>e</mi><mo>(</mo><mi>\u03bc</mi><mi>\u03bc</mi><mi>\u03bc</mi><mo>)</mo></math> and <math><mi>\u03c4</mi><mo>\u2192</mo><mi>e</mi><mo>(</mo><mi>\u03bc</mi><mo>)</mo><mi>\u03b3</mi></math> decays (e.g., BELLE II) also can probe a part of the leptogenesis parameter space, although a relatively small one."
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Published on:: 20 March 2023
Publisher:: Elsevier
Published in:: Physics Letters B , Volume 837 C (2023)

Article ID: 137643
DOI:: https://doi.org/10.1016/j.physletb.2022.137643
Copyrights:: The Author(s)
Licence:: CC-BY-3.0

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