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Candidate galaxies at redshifts of $z \sim 10$ are now being found inextremely deep surveys, probing very small areas. As a consequence, candidatesare very faint, making spectroscopic confirmation practically impossible. Inorder to overcome such limitations, we have undertaken the CF-HiZELS survey,which is a large area, medium depth near infrared narrow-band survey targetedat $z=8.8$ Lyman-$\alpha$ (Ly$\alpha$) emitters (LAEs) and covering 10 deg$^2$in part of the SSA22 field with the Canada-France-Hawaii Telescope. We surveyeda comoving volume of $4.7\times 10^6$ Mpc$^3$ to a Ly$\alpha$ luminosity limitof $6.3\times10^{43}$ erg s$^{-1}$. We look for Ly$\alpha$ candidates byapplying the following criteria: i) clear emission line source, ii) no opticaldetections ($ugriz$ from CFHTLS), iii) no visible detection in the opticalstack ($ugriz > 27$), iv) visually checked reliable NB$_J$ and $J$ detectionsand v) $J-K \leq 0$. We compute photometric redshifts and remove a significantamount of dusty lower redshift line-emitters at $z \sim 1.4 $ or $2.2$. A totalof 13 Ly$\alpha$ candidates were found, of which two are marked as strongcandidates, but the majority have very weak constraints on their SEDs. Usingfollow-up observations with SINFONI/VLT we are able to exclude the most robustcandidates as Ly$\alpha$ emitters. We put a strong constraint on the Ly$\alpha$luminosity function at $z \sim 9$ and make realistic predictions for ongoingand future surveys. Our results show that surveys for the highest redshift LAEsare susceptible of multiple contaminations and that spectroscopic follow-up isabsolutely necessary.

A 10 deg$^2$ Lyman-$\alpha$ survey at z=8.8 with spectroscopic follow-up: strong constraints on the LF and implications for other surveys