Analysis of the decay D{sup 0}{yields}K{sub S}{sup 0}{pi}{sup 0}{pi}{sup 0}
We present the results of a Dalitz plot analysis of D{sup 0}{yields}K{sub S}{sup 0}{pi}{sup 0}{pi}{sup 0} using the CLEO-c data set of 818 pb{sup -1} of e{sup +}e{sup -} collisions accumulated at {radical}(s)=3.77 GeV. This corresponds to 3x10{sup 6} D{sup 0}D{sup 0} pairs from which we select 1259 tagged candidates with a background of 7.5{+-}0.9 percent. Several models have been explored, all of which include the K{sup *}(892), K{sub 2}{sup *}(1430), K{sup *}(1680), the f{sub 0}(980), and the {sigma}(500). We find that the combined {pi}{sup 0{pi}0} S-wave contribution to our preferred fit is (28.9{+-}6.3{+-}3.1)% of the total decay rate while D{sup 0}{yields}K{sup *}(892){sup 0}{pi}{sup 0} contributes (65.6{+-}5.3{+-}2.5)%. Using three tag modes and correcting for quantum correlations we measure the D{sup 0}{yields}K{sub S}{sup 0}{pi}{sup 0}{pi}{sup 0} branching fraction to be (1.058{+-}0.038{+-}0.073)%.