Most of these answers are talking about the fact that on the return flight from Santiago, the poles will not be permitted through security at Santiago airport, no matter what airline you are taking. The question of carrying the poles onto the plane from Dublin to fly to Santiago will depend on the security policy/practice at Dublin airport. So you would have to ask the Dublin airport security people.
It is possible that you will be able to carry your poles with cabin baggage on the way from Dublin to Santiago, but not on the return flight.