%0 Journal Article %T Conformal Bootstrap With Slightly Broken Higher Spin Symmetry %A Luis F. Alday %A Alexander Zhiboedov %J Physics %D 2015 %I arXiv %X We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents $\gamma_s$ with large spin $s$. The result depends on the symmetries and the spectrum of the unperturbed conformal field theory. We reproduce all known results and make further predictions. In particular we make a prediction for the anomalous dimensions of higher spin currents in the 3d Ising model. %U http://arxiv.org/abs/1506.04659v2