Muon flavor violation in two-Higgs-doublet model with extra Yukawa couplings

Wei-Shu Hou (Department of Physics, National Taiwan University, Taipei 10617, Taiwan) ; Girish Kumar (Department of Physics, National Taiwan University, Taipei 10617, Taiwan)

The new round of experiments, MEG II, COMET/Mu2e, and Mu3e, would soon start to push the μeγ, μNeN conversion, and μ3e frontier, while Belle II would probe τμγ and τ3μ. In the general two Higgs doublet model with extra Yukawa couplings, we show that all these processes probe the lepton flavor violating (LFV) dipole transition that arises from the two loop mechanism, with scalar-induced contact terms subdominant. This is because existing data suggest the extra Yukawa couplings ρμe,ρeeλe, while ρτμ,ρττλτ and ρttλt, with λi the usual Yukawa coupling of the Standard Model (SM), where ρμeρtt and ρτμρtt enter the μeγ and τμγ two loop amplitudes, respectively. With the Bsμμ decay rate basically consistent with SM expectation, together with the Bs mixing constraint, we show that Bsττ would also be consistent with SM, while Bsτμ and BKτμ decays would be out of reach of projected sensitivities, in strong contrast with some models motivated by the B anomalies.

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  "abstracts": [
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      "source": "APS", 
      "value": "The new round of experiments, MEG II, COMET/Mu2e, and Mu3e, would soon start to push the <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math>, <math><mi>\u03bc</mi><mi>N</mi><mo>\u2192</mo><mi>e</mi><mi>N</mi></math> conversion, and <math><mi>\u03bc</mi><mo>\u2192</mo><mn>3</mn><mi>e</mi></math> frontier, while Belle II would probe <math><mi>\u03c4</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03b3</mi></math> and <math><mi>\u03c4</mi><mo>\u2192</mo><mn>3</mn><mi>\u03bc</mi></math>. In the general two Higgs doublet model with extra Yukawa couplings, we show that all these processes probe the lepton flavor violating (LFV) dipole transition that arises from the two loop mechanism, with scalar-induced contact terms subdominant. This is because existing data suggest the extra Yukawa couplings <math><msub><mi>\u03c1</mi><mrow><mi>\u03bc</mi><mi>e</mi></mrow></msub><mo>,</mo><msub><mi>\u03c1</mi><mrow><mi>e</mi><mi>e</mi></mrow></msub><mo>\u2272</mo><msub><mi>\u03bb</mi><mi>e</mi></msub></math>, while <math><msub><mi>\u03c1</mi><mrow><mi>\u03c4</mi><mi>\u03bc</mi></mrow></msub><mo>,</mo><msub><mi>\u03c1</mi><mrow><mi>\u03c4</mi><mi>\u03c4</mi></mrow></msub><mo>\u2272</mo><msub><mi>\u03bb</mi><mi>\u03c4</mi></msub></math> and <math><msub><mi>\u03c1</mi><mrow><mi>t</mi><mi>t</mi></mrow></msub><mo>\u2272</mo><msub><mi>\u03bb</mi><mi>t</mi></msub></math>, with <math><msub><mi>\u03bb</mi><mi>i</mi></msub></math> the usual Yukawa coupling of the Standard Model (SM), where <math><msub><mi>\u03c1</mi><mrow><mi>\u03bc</mi><mi>e</mi></mrow></msub><msub><mi>\u03c1</mi><mrow><mi>t</mi><mi>t</mi></mrow></msub></math> and <math><msub><mi>\u03c1</mi><mrow><mi>\u03c4</mi><mi>\u03bc</mi></mrow></msub><msub><mi>\u03c1</mi><mrow><mi>t</mi><mi>t</mi></mrow></msub></math> enter the <math><mi>\u03bc</mi><mi>e</mi><mi>\u03b3</mi></math> and <math><mi>\u03c4</mi><mi>\u03bc</mi><mi>\u03b3</mi></math> two loop amplitudes, respectively. With the <math><msub><mi>B</mi><mi>s</mi></msub><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03bc</mi></math> decay rate basically consistent with SM expectation, together with the <math><msub><mi>B</mi><mi>s</mi></msub></math> mixing constraint, we show that <math><msub><mi>B</mi><mi>s</mi></msub><mo>\u2192</mo><mi>\u03c4</mi><mi>\u03c4</mi></math> would also be consistent with SM, while <math><msub><mi>B</mi><mi>s</mi></msub><mo>\u2192</mo><mi>\u03c4</mi><mi>\u03bc</mi></math> and <math><mi>B</mi><mo>\u2192</mo><mi>K</mi><mi>\u03c4</mi><mi>\u03bc</mi></math> decays would be out of reach of projected sensitivities, in strong contrast with some models motivated by the B anomalies."
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Published on:
10 December 2020
Publisher:
APS
Published in:
Physical Review D , Volume 102 (2020)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevD.102.115017
arXiv:
2008.08469
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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