Effect of direct CP violation in charm on gamma extraction from B->DK, D->K0Spi+pi- Dalitz plot analysis

A possible effect of direct CP violation in D->K0Spipi decay on the gamma measurement from B->DK, D->K0Spi+pi- Dalitz plot analysis is considered. Systematic uncertainty of gamma coming from the current limits on direct CP violation in D->K0Spi+pi- is estimated, and a modified model-independent procedure of B->DK, D->K0Spi+pi- Dalitz plot analysis is proposed that gives an unbiased gamma measurement even in presence of direct CP violation in charm decays. The technique is applicable to other three-body D decays such as D->K0SK+K-, D->pi+pi-pi0, etc.