Tests of low-scale leptogenesis in charged lepton flavour violation experiments
(2023) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics — Vol. 837 (2023)
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- We consider low-energy tests of low-scale leptogenesis based on the type I seesaw scenario with three right-handed singlet neutrinos <math altimg="si1.svg"><msub><mrow><mi>ν</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 altimg="si2.svg"><msub><mrow><mi>N</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msub></math>, <math altimg="si3.svg"><msub><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msub><mo>≅</mo><mi>M</mi></math>, <math altimg="si4.svg"><mo stretchy="false">|</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>j</mi></mrow></msub><mo linebreak="goodbreak" linebreakstyle="after">−</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>i</mi></mrow></msub><mo stretchy="false">|</mo><mo>≪</mo><mi>M</mi></math>, <math altimg="si5.svg"><mi>i</mi><mo>≠</mo><mi>j</mi><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></math>, heavy Majorana neutrino masses <math altimg="si6.svg"><mi>M</mi><mo>∼</mo><mo stretchy="false">(</mo><mn>0.05</mn><mo linebreak="badbreak" linebreakstyle="after">−</mo><mn>5</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>5</mn></mrow></msup><mo stretchy="false">)</mo></math> GeV, and <math altimg="si7.svg"><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 altimg="si8.svg"><mi mathvariant="script">O</mi><mo stretchy="false">(</mo><msup><mrow><mn>10</mn></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo><mn>2</mn></mrow></msup><mo stretchy="false">)</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 altimg="si209.svg"><mi>μ</mi><mo stretchy="false">→</mo><mi>e</mi><mi>γ</mi></math> decay and on the rate of <math altimg="si10.svg"><mi>μ</mi><mo linebreak="goodbreak" linebreakstyle="after">−</mo><mi>e</mi></math> conversion in gold. We show also that the planned and upcoming experiments on charged lepton flavour violation with <math altimg="si11.svg"><msup><mrow><mi>μ</mi></mrow><mrow><mo>±</mo></mrow></msup></math>, MEG II on the <math altimg="si209.svg"><mi>μ</mi><mo stretchy="false">→</mo><mi>e</mi><mi>γ</mi></math> decay, Mu3e on <math altimg="si12.svg"><mi>μ</mi><mo stretchy="false">→</mo><mi>e</mi><mi>e</mi><mi>e</mi></math> decay, Mu2e and COMET on <math altimg="si10.svg"><mi>μ</mi><mo linebreak="goodbreak" linebreakstyle="after">−</mo><mi>e</mi></math> conversion in aluminium and PRISM/PRIME on <math altimg="si10.svg"><mi>μ</mi><mo linebreak="goodbreak" linebreakstyle="after">−</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 altimg="si13.svg"><mi>τ</mi><mo stretchy="false">→</mo><mi>e</mi><mi>e</mi><mi>e</mi><mo stretchy="false">(</mo><mi>μ</mi><mi>μ</mi><mi>μ</mi><mo stretchy="false">)</mo></math> and <math altimg="si14.svg"><mi>τ</mi><mo stretchy="false">→</mo><mi>e</mi><mo stretchy="false">(</mo><mi>μ</mi><mo stretchy="false">)</mo><mi>γ</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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Citations
Klaric, J., & et al. (2023). Tests of low-scale leptogenesis in charged lepton flavour violation experiments. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 837. https://doi.org/10.1016/j.physletb.2022.137643 (Original work published 2023)