Constraints on flavor-dependent long range forces from neutrino experiments

Abstract

We study the impact of flavor-dependent long range leptonic forces mediated by the $L_e-L_{\mu }$ or $L_e-L_{\tau }$ gauge bosons on the solar neutrino oscillations, when the interaction range $R_{LR}$ is much larger than the Earth-Sun distance. The solar and atmospheric neutrino mass scales do not get trivially decoupled in this situation even if ${\theta }_{13}$ is vanishingly small. In addition, for $α\gsim 10^{-52}$ and normal hierarchy, resonant enhancement of ${\theta }_{13}$ may give rise to strong energy dependent effects on the ${\nu }_e$ survival probability. A complete three generation analysis of the solar neutrino and KamLAND data gives the $3\sigma$ limits ${\alpha }_{e\mu }<3.4\times 10^{-53}$ and ${\alpha }_{e\tau }<2.5\times 10^{-53}$ when $R_{LR}$ is much smaller than our distance from the galactic center. With larger $R_{LR}$, the collective LR potential due to all the electrons in the galaxy becomes significant and the constraints on $\alpha$ become stronger by upto two orders of magnitude.

4 pages, 4 figures, uses ws-procs10x7.cls (included). Talk given at the XXXIII International Conference on High Energy Physics (ICHEP 2006), Moscow, Russia, July 2006

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