Some Issues in Gauge Mediation

If all of the moduli vary on the scale Mp, then all terms here are of the same order. O(1) effects in the Kahler potential can stabilize the moduli, while the −3|W | term can cancel the cosmological constant[1]. This is not the case if one has a low scale of supersymmetry breaking. The term −3|W | above is then simply too small to cancel the cosmological constant, unless there are some other interactions with a much larger scale, introduced just for this purpose. One can shrug off this distinction, saying that we don’t understand the cosmological constant. After all, while for high scale breaking all of the terms are of the same order, they still must cancel to an extraordinary degree of precision. Still, it is troubling that a new scale of interactions seems to be required in the low scale case.