Improved measurement of the CKM angle gamma in B(-/+)-> D((*))K((*)-/+) decays with a Dalitz plot analysis of D decays to K(S)(0)pi(+)pi(-) and K(S)(0)K(+)K(-)

We report on an improved measurement of the Cabibbo-Kobayashi-Maskawa CP-violating phase gamma through a Dalitz plot analysis of neutral D meson decays to K(S)(0)pi(+)pi(-) and K(S)(0)K(+)K(-) produced in the processes B(-/+)-> DK(-/+), B(-/+)-> D(*)K(-/+) with D(*)-> D pi(0), D gamma, and B(-/+)-> DK(*-/+) with K(*-/+)-> K(S)(0)pi(-/+). Using a sample of 383x10(6) B (B) over bar pairs collected by the BABAR detector, we measure gamma=(76 +/- 22 +/- 5 +/- 5)degrees (mod 180 degrees), where the first error is statistical, the second is the experimental systematic uncertainty, and the third reflects the uncertainty on the description of the Dalitz plot distributions. The corresponding 2-standard-deviation region is 29 degrees < 122 degrees. This result has a significance of direct CP violation (gamma not equal 0) of 3.0 standard deviations.