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We present a new measurement of the time-dependent CP-violating parameters inB0 -> pi+pi- decays using a data sample that contains 535M BBbar pairscollected with the Belle detector at the KEKB asymmetric-energy e+e- collideroperating at the Upsilon(4S) resonance. We reconstruct one neutral B meson as api+pi- CP eigenstate and identify the flavor of the accompanying B meson fromits decay products. We find 1464+-65 B0 --> pi+pi- events and perform anunbinned maximum likelihood fit to the distribution of the proper-timedifferences between the two B meson decays. The fit yields the CP-violatingparameters: Spipi = -0.61 +- 0.10(stat) +- 0.04(syst) and Apipi = +0.55 +-0.08(stat) +- 0.05(syst). Large direct CP-violation is observed with asignificance greater than 5 standard deviations for any Spipi value. Usingisospin relations, we measure the Cabibbo-Kobayashi-Maskawa quark-mixing matrixangle phi2 = (97 +- 11) degrees for the solution consistent with the standardmodel and exclude a range of 11<phi2<79 degrees at the 95% confidence level.Comment: 10 pages, 5 figures, submitted to ICHEP2006; 6 pages 4 figures,  replaced to a paper draft for PRL submission, replaced to a paper accepted by  PR

physical review letters

Observation of Direct<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>Violation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>Decays and Model-Independent Constraints on the Quark-Mixing Angle<mml:…

Observation of DirectCPViolation inB0→π+π−Decays and Model-Independent Constraints on the Quark-Mixing Angle