Flavor-violating charged lepton decays in the little Randall-Sundrum model

A. Akshay (School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram 695551, India) ; Mathew Thomas Arun (School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram 695551, India)

The little Randall-Sundrum (little RS) model receives significantly stronger constraints from the flavor observables in comparison to the Randall-Sundrum (RS) model. In this paper, we analyze the effect of the electroweak sector in little RS on flavor-changing decays of charged leptons. We compare the predictions of the model with the current limits on the flavor-violating branching ratios of μeee, τeee, τμμμ, τμee, τeμμ, μeγ, and μTieTi, and we show that the dominant constraint arises from the μTieTi process which strongly limits the KK-1 gauge boson mass (MKK) to be 30.7 TeV. We then derive and show that generalizing the electroweak gauge sector to include the brane localized kinetic term relaxes this constraint to 12 TeV. Toward the conclusion, we comment on the possibility that the large flavor-violating currents can be mitigated by relaxing the assumption regarding the unnatural thinness and rigidity of the UV brane and discuss the possibility of suppression of these currents in the presence of fat fluctuating branes.

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      "source": "APS", 
      "value": "The little Randall-Sundrum (little RS) model receives significantly stronger constraints from the flavor observables in comparison to the Randall-Sundrum (RS) model. In this paper, we analyze the effect of the electroweak sector in little RS on flavor-changing decays of charged leptons. We compare the predictions of the model with the current limits on the flavor-violating branching ratios of <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>e</mi><mi>e</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>e</mi><mi>e</mi><mi>e</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03bc</mi><mi>\u03bc</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>e</mi><mi>e</mi></math>, <math><mi>\u03c4</mi><mo>\u2192</mo><mi>e</mi><mi>\u03bc</mi><mi>\u03bc</mi></math>, <math><mi>\u03bc</mi><mo>\u2192</mo><mi>e</mi><mi>\u03b3</mi></math>, and <math><mi>\u03bc</mi><mi>T</mi><mi>i</mi><mo>\u2192</mo><mi>e</mi><mi>T</mi><mi>i</mi></math>, and we show that the dominant constraint arises from the <math><mi>\u03bc</mi><mi>T</mi><mi>i</mi><mo>\u2192</mo><mi>e</mi><mi>T</mi><mi>i</mi></math> process which strongly limits the KK-1 gauge boson mass (<math><msub><mi>M</mi><mrow><mi>K</mi><mi>K</mi></mrow></msub></math>) to be <math><mrow><mo>\u2273</mo><mn>30.7</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></mrow></math>. We then derive and show that generalizing the electroweak gauge sector to include the brane localized kinetic term relaxes this constraint to <math><mo>\u2273</mo><mn>12</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math>. Toward the conclusion, we comment on the possibility that the large flavor-violating currents can be mitigated by relaxing the assumption regarding the unnatural thinness and rigidity of the UV brane and discuss the possibility of suppression of these currents in the presence of fat fluctuating branes."
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Published on:
17 January 2023
Publisher:
APS
Published in:
Physical Review D , Volume 107 (2023)
Issue 1
DOI:
https://doi.org/10.1103/PhysRevD.107.015013
arXiv:
2201.01062
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: