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arXiv · 2007.06683

The radiatively corrected Kaluza-Klein masses in aether compactification

R. J. S. Oliveira·A. Pinzul·M. A. Anacleto·E. Passos·F. A. Brito·O. Holanda
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Abstract

We address the issue of radiative corrections to Kaluza-Klein (KK) masses in five-dimensional QED supplemented by aether Lorentz-violating terms. Specifically, we compute the corrections to the KK photon masses from one fermion loop. In general, the KK masses receive radiative corrections due to breaking the five-dimensional Lorentz invariance by compactification. As we show, the presence of the additional Lorentz violating factor - an aether background, leads to the non-trivial modification of these corrections. This model may be of interest in addressing important phenomenological issues such as the relation between radiative corrected KK mass splitting of a particular mode and uncertainties in the measurements and/or possible spatial variation of the fine-structure constant. For the recent data on the fine-structure constant, we find a KK mass splitting of magnitude $\sim 0.01$ MeV for the first excited Kaluza-Klein gauge boson at TeV scale. On the other hand, the large KK modes limit displays a very interesting phenomenon, showing the very special role of the aether in protecting the higher modes from the quantum corrections.

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R. J. S. Oliveira, A. Pinzul, M. A. Anacleto, E. Passos, F. A. Brito, O. Holanda. 2020-07-13. The radiatively corrected Kaluza-Klein masses in aether compactification. https://doi.org/10.1103/physrevd.102.075008

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