Kaluza-Klein gravitons and the moduli mass

Abstract: In Kaluza-Klein (KK) reduction of gravitational theories, moduli fields, which are scalar fields associated to the deformations of the compact manifold, are typically lighter than the KK gravitons. However, a universal limit on their mass, which measures how rigidly the compact manifold can be stabilized, does not seem to exist. We provide numerical evidence that a light scalar particle, with mass ratio to the first KK graviton (m/m_{1KK})^2 < 4/3, is necessary for the consistency of the 4d effective theory of KK gravitons.

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