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2017

Clockwork graviton contributions to muon $g-2$

Hong, Deog Ki, Kim, Du Hwan, Shin, Chang Sub

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The clockwork mechanism for gravity introduces a tower of massive graviton modes, "clockwork gravitons," with a very compressed mass spectrum, whose interaction strengths are much stronger than that of massless gravitons.

In this work, we compute the lowest order contributions of the clockwork gravitons to the anomalous magnetic moment, $g-2$, of muon in the context of extra dimensional model with a five dimensional Planck mass, $M_5$.
We find that the total contributions are rather insensitive to the detailed model parameters, and determined mostly by the value of $M_5$.
In order to account for the current muon $g-2$ anomaly, $M_5$ should be around $0.2~{\rm TeV}$, and the size of the extra dimension has to be quite large, $l_5 \gtrsim 10^{-7}\,$m.

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