Lower bounds on lepton flavor violating branching ratios in a radiative seesaw model

Osamu Seto (Institute for the Advancement of Higher Education, Hokkaido University, Sapporo 060-0817, Japan; Department of Physics, Hokkaido University, Sapporo 060-0810, Japan) ; Tetsuo Shindou (Division of Liberal-Arts, Kogakuin University, Hachioji, Tokyo 192-0015, Japan) ; Takanao Tsuyuki (Division of Liberal-Arts, Kogakuin University, Hachioji, Tokyo 192-0015, Japan; Academic Support Center, Kogakuin University, Hachioji, Tokyo 192-0015, Japan)

We study the lepton flavor violating decays such as μeγ, τeγ, τμγ in the three-loop radiative seesaw model proposed by Krauss, Nasri, and Trodden. In this model, the relevant coupling constants are larger for the heavier scalars that run inside loop diagrams to generate the appropriate magnitude of neutrino masses. Imposing a criterion that all the coupling constants must be small enough to be treated perturbatively, we find an upper bound on the mass of one of the scalars. By combining it with neutrino mass parameters, we derive lower bounds on the branching ratios of the lepton flavor violating processes. In a case with the inverted mass ordering and best-fit neutrino oscillation parameters, one of the lower bounds is Br(μeγ)>1.1×1013, which is within the reach of the MEG II experiment.

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      "title": "Lower bounds on lepton flavor violating branching ratios in a radiative seesaw model"
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      "value": "We study the lepton flavor violating decays such as <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03b3</mi></math> in the three-loop radiative seesaw model proposed by Krauss, Nasri, and Trodden. In this model, the relevant coupling constants are larger for the heavier scalars that run inside loop diagrams to generate the appropriate magnitude of neutrino masses. Imposing a criterion that all the coupling constants must be small enough to be treated perturbatively, we find an upper bound on the mass of one of the scalars. By combining it with neutrino mass parameters, we derive lower bounds on the branching ratios of the lepton flavor violating processes. In a case with the inverted mass ordering and best-fit neutrino oscillation parameters, one of the lower bounds is <math><mi>Br</mi><mo>(</mo><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi><mo>)</mo><mo>&gt;</mo><mn>1.1</mn><mo>\u00d7</mo><msup><mn>10</mn><mrow><mo>\u2212</mo><mn>13</mn></mrow></msup></math>, which is within the reach of the MEG II experiment."
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Published on:
16 May 2022
Publisher:
APS
Published in:
Physical Review D , Volume 105 (2022)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.105.095018
arXiv:
2202.00931
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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