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arXiv · 2201.01062

Flavour violating charged lepton decays in Little Randall-Sundrum Model

Akshay A·Mathew Thomas Arun
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Abstract

The Little Randall-Sundrum (Little RS) model receives significantly stronger constraints from the flavour observables in comparison to Randall-Sundrum (RS) model. In this paper, we analyse the effect of the electro-weak sector in Little RS on flavour changing decays of charged leptons. We compare the predictions of the model with the current limits on the flavour violating Branching Ratios of $μ\rightarrow e e e $, $τ\rightarrow e e e $, $τ\rightarrow μμμ$, $τ\rightarrow μe e $, $τ\rightarrow e μμ$ , $μ\rightarrow e γ$, and $μTi \rightarrow e Ti $. And we show that the dominant constraint arises from the $μTi \rightarrow e Ti$ process which strongly limits the KK-1 gauge boson mass ($M_{KK}$) to be $\gtrsim 30.7 TeV $. We then derive and show that generalising the electro-weak gauge sector to include the Brane Localised Kinetic Term (BLKT) relaxes this constraint to $\gtrsim 12 TeV$. Towards the conclusion, we comment on the possibility that the large flavour 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 presence of fat fluctuating branes.

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Akshay A, Mathew Thomas Arun. 2022-12-22. Flavour violating charged lepton decays in Little Randall-Sundrum Model. https://arxiv.org/abs/2201.01062

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