Abstract
The Randall Sundrum models receive significant constraints from the neutral kaon system. The $CP$ violating observable ${\ensuremath{\epsilon}}_{K}$, in the Randall Sundrum scenario, requires the lightest $KK$ gluon to be heavier than $\ensuremath{\sim}24\text{ }\text{ }\mathrm{TeV}$. The constraint is even stronger in the little Randall Sundrum (LRS) models, $\ensuremath{\gtrsim}32\text{ }\text{ }\mathrm{TeV}$. The LRS models are motivated for their possible visibility at the LHC. We show that the stringent constraints from $K$ physics can be relaxed in the LRS models, in the presence of the brane localized kinetic terms (BLKT). In particular, for a range of values, a UV BLKT could significantly modify the lightest $KK$ gluon wave function such that the limit can reduces to 5 TeV. We also show that such a relaxation of the constraints can also be achieved by imposing flavor symmetries \`a la minimal flavor protection.
Highlights
Flavor observables have been at the forefront of constraining physics beyond the Standard Model
We show that the stringent constraints from K physics can be relaxed in the little Randall Sundrum (LRS) models, in the presence of the brane localized kinetic terms (BLKT)
For a range of values, a UV BLKT could significantly modify the lightest KK gluon wave function such that the limit can reduces to 5 TeV. We show that such a relaxation of the constraints can be achieved by imposing flavor symmetries ala minimal flavor protection
Summary
Flavor observables have been at the forefront of constraining physics beyond the Standard Model. In the hadronic sector the neutral K meson system places the strongest constraint through observables such as ΔmK, εK, and ε0=ε. We show that for a range of values for the BLKTs, the lower limits on gð1Þ can be softened significantly. Another interesting approach would be the application of flavor symmetries like U(2) or U(3). In the context of RS models this has been used by [19] as minimal flavor protection (MFP) We apply this paradigm to the little RS model and show that the bounds on gð1Þ can become as low as 5 TeV.
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