Cosmological Constant and Soft Terms in Supergravity

Some of the soft SUSY breaking parameters in hidden sector supergravity model depend on the expectation value of the hidden sector scalar potential, $<V_h>$, whose tree level value is equal to the tree level cosmological constant. The current practice of calculating soft parameters assumes that $<V_h>=0$. Quantum correction to the cosmological constant can differ from the correction to $<V_h>$ by an amount of order $m_{3\mathrm{/}2}^2{M}_{Pl}^2\mathrm{/}8\pi$. This implies that, for the vanishing cosmological constant, the $<V_h>$–dependent parts of soft terms can be sizable, and hence the supergravity phenomenology should be accordingly modified.