Probing new physics signals with symmetry-restored Yukawa textures

Shao-Ping Li (Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, Wuhan, Hubei, 430079, People’s Republic of China) ; Xin-Qiang Li (Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, Wuhan, Hubei, 430079, People’s Republic of China)

We implement a symmetry violation guideline into a two-Higgs-doublet model embedded with three right-handed neutrinos, and exploit the generic Yukawa structures of the model via a hypothetical symmetry restoration of a global $$U_Q(1)^3\times U_L(1)^3$$ UQ(1)3×UL(1)3 symmetry. We then apply a mass-powered parametrization to construct the phenomenologically motivated Yukawa interactions, which enables us to incorporate correlatively the neutrino mass, dark matter, as well as the lepton-flavor universality violations in $$R_{K^{(*)}}$$ RK() and $$R_{D^{(*)}}$$ RD() . Specifically, two atmospheric-scale neutrino masses are generated by a low-scale seesaw mechanism, while the much lighter one, being of $$\mathcal {O}(10^{-6})~{{\mathrm{eV}}}$$ O(10-6)eV , is fixed by a $$7.1~{\mathrm{keV}}$$ 7.1keV sterile neutrino dark matter produced primordially by the freeze-in mechanism. On the other hand, the neutrino and the charged-lepton mass hierarchies encoded in the mass-powered textures can naturally account for the $$R_{K^{(*)}}$$ RK() and the $$R_{D^{(*)}}$$ RD() anomalies, respectively. As a further application, a milder discrepancy of the muon $$g{-}2$$ g-2 is observed, which has also been implied by the recently refined lattice results.

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  "abstracts": [
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      "source": "Springer", 
      "value": "We implement a symmetry violation guideline into a two-Higgs-doublet model embedded with three right-handed neutrinos, and exploit the generic Yukawa structures of the model via a hypothetical symmetry restoration of a global $$U_Q(1)^3\\times U_L(1)^3$$ <math><mrow><msub><mi>U</mi><mi>Q</mi></msub><msup><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mn>3</mn></msup><mo>\u00d7</mo><msub><mi>U</mi><mi>L</mi></msub><msup><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mn>3</mn></msup></mrow></math>  symmetry. We then apply a mass-powered parametrization to construct the phenomenologically motivated Yukawa interactions, which enables us to incorporate correlatively the neutrino mass, dark matter, as well as the lepton-flavor universality violations in $$R_{K^{(*)}}$$ <math><msub><mi>R</mi><msup><mi>K</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></msub></math>  and $$R_{D^{(*)}}$$ <math><msub><mi>R</mi><msup><mi>D</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></msub></math> . Specifically, two atmospheric-scale neutrino masses are generated by a low-scale seesaw mechanism, while the much lighter one, being of $$\\mathcal {O}(10^{-6})~{{\\mathrm{eV}}}$$ <math><mrow><mi>O</mi><mo>(</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>6</mn></mrow></msup><mo>)</mo><mspace width=\"3.33333pt\"></mspace><mi>eV</mi></mrow></math> , is fixed by a $$7.1~{\\mathrm{keV}}$$ <math><mrow><mn>7.1</mn><mspace width=\"3.33333pt\"></mspace><mi>keV</mi></mrow></math>  sterile neutrino dark matter produced primordially by the freeze-in mechanism. On the other hand, the neutrino and the charged-lepton mass hierarchies encoded in the mass-powered textures can naturally account for the $$R_{K^{(*)}}$$ <math><msub><mi>R</mi><msup><mi>K</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></msub></math>  and the $$R_{D^{(*)}}$$ <math><msub><mi>R</mi><msup><mi>D</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></msub></math>  anomalies, respectively. As a further application, a milder discrepancy of the muon $$g{-}2$$ <math><mrow><mi>g</mi><mo>-</mo><mn>2</mn></mrow></math>  is observed, which has also been implied by the recently refined lattice results."
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Published on:
18 May 2020
Publisher:
Springer
Published in:
European Physical Journal C , Volume 80 (2020)
Issue 3
Pages 1-9
DOI:
https://doi.org/10.1140/epjc/s10052-020-7839-4
arXiv:
1907.13555
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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