Abstract
We present a Dalitz plot analysis of charmless B ± decays to the final state π ± π ± π ∓ using a sample of ( 465 ± 5 ) × 10 6 B ¯¯¯ B pairs collected by the BABAR experiment at √ s = 10.58 GeV . We measure the branching fractions B ( B ± → π ± π ± π ∓ ) = ( 15.2 ± 0.6 ± 1.2 ± 0.4 ) × 10 − 6 , B ( B ± → ρ 0 ( 770 ) π ± ) = ( 8.1 ± 0.7 ± 1.2 + 0.4 − 1.1 ) × 10 − 6 , B ( B ± → f 2 ( 1270 ) π ± ) = ( 1.57 ± 0.42 ± 0.16 + 0.53 − 0.19 ) × 10 − 6 , and B ( B ± → π ± π ± π ∓ nonresonant ) = ( 5.3 ± 0.7 ± 0.6 + 1.1 − 0.5 ) × 10 − 6 , where the uncertainties are statistical, systematic, and model-dependent, respectively. Measurements of branching fractions for the modes B ± → ρ 0 ( 1450 ) π ± and B ± → f 0 ( 1370 ) π ± are also presented. We observe no significant direct C P asymmetries for the above modes, and there is no evidence for the decays B ± → f 0 ( 980 ) π ± , B ± → χ c 0 π ± , or B ± → χ c 2 π ± .