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We consider the strong rescattering effects that can occur in the decays suchas B -> K pi, K* pi, K rho... and their impact on direct CP violation in thesemodes. First we discuss, in general, how the CPT theorem constrains theresulting pattern of partial rate asymmetries leading to different brands ofdirect CP. Traditional discussions have centered around the absorptive part ofthe penguin graph which has Delta I=0 in b -> s transitions and as a resultcauses ``simple'' CP violation; long-distance final state rescattering effects,in general, will lead to a different pattern of CP: ``compound'' CP violation.Predictions of simple CP are quite distinct from that of compound CP. Finalstates rescattering phases in B decays are unlikely to be small possiblycausing large compound CP violating partial rate asymmetries in these modes.CPT theorem requires a cancellation of PRA due to compound CP amongst the$K\pi$ states themselves; thus there can be no net cancellation with otherstates such as K*\pi, K\rho etc. Therefore, each class of such modes, namely Kpi, K rho, K^*pi, K a_1 etc. can have large direct CP emanating fromrescattering effects. Various repercussions for the angle $\gamma$ are alsodiscussed.Comment: 45 pages; 5 figures. In replacement we have : 1) corrected many  typos, 2) added references, 3) decided to subdivide Simple CP into 2  categories and 4) Modified figure 3 to explain tha

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Possibility of large direct<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:math>-like modes because of long distance rescattering effects and implications for the angle<mml…

Possibility of large directCPviolation inB→Kπ-like modes because of long distance rescattering effects and implications for the angle