Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) at Belle  3 and sin(2  1 +  3 ) B +  D 0 K + Dalitz analysis method(140fb -1 ) - first measurement of φ 3 (γ) & r B B +  D (*)0 cp K + searches (250fb -1 ) - first observation of B +  D* 0 cp K + B +  D 0 ADS (  K - π + ) h + searches (250fb -1 ) - r B upper limit B 0  D (*)0 K 0 (250fb -1 ) -first evidence for B 0  D *0 K 0 sin(2φ 1 (ß) + φ 3 ) time dependent analysis(140fb -1 ) - B 0  D *- partial reconstruction A.Bożek

If both D 0 and D 0 decay into the same final state, B +  D 0 K + and B +  D 0 K + amplitudes interfere. Mixed state is produced: Phase θ is a sum of strong and weak phases: for B ±  D 0 K ± Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D 0 K + Dalitz analysis method hep-ex/ (submitted to PRD) Use 3-body final state, identical for D 0 and D 0 : K s π + π -. Dalitz plot density: ( r, φ 3, δ ) can be obtained with simultaneous fit of B + and B - data. technique pioneered at

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D 0 K + Dalitz analysis method D 0  K s π + π – decay model Resonance Our fit AmplitudePhase, °Fit fraction σ 1 K s 1.66± ±3.811% ρ(770) K S 1021% ω K s (3.30±1.13)· ±2.30.4% f 0 (980) K s 0.405± ±2.34.8% σ 2 K s 0.31± ±110.9% f 2 (1270) K s 1.36± ±31.5% f 0 (1370) K s 0.82± ±80.9% K * (892) - π ± ±0.660% K * (892) + π ± ±2.20.5% K * 0 (1430) - π ± ±1.55.8% K * 0 (1430) + π ± ±80.1% K * 2 (1430) - π ± ±1.82.8% K * 2 (1430) + π ± ±90.07% K * (1680) + π ±0.2270±60.4% K * (1680) - π ± ±110.07% Non resonant6.1±0.3146±324% Sum of two-body amplitudes: M (GeV 2 ) K s π – 2 Use continuum D 0 ‘s from D *–  D 0 π –, D 0  K s π + π – decay.

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) 146 events 112±12 signal 25% background D0KD0K D 0 π misID M bc (GeV)ΔE (GeV) D *0 K D *0 π misID M bc (GeV) ΔE (GeV) 39 events 33.6±6.2 signal 12% background B +  D 0 K + D 0  K s π + π – B +  D *0 K + D *0  D 0 π 0 D 0  K s π + π – B +  D 0 K + Dalitz analysis method B +  D (*)0 K + signal 140 fb -1

K * (892) bands 73 events 20 events 19 events B +  D 0 K + B +  D* 0 K + B -  D* 0 K - B -  D 0 K - Fit these D 0 Dalitz plots using unbinned maximum likelihood fit. D 0 model fixed. Free parameters ( r, φ 3, δ ) ~ B +  D 0 K + Dalitz analysis method 140 fb -1 Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 )

B +  D 0 K + Dalitz analysis method r= 0.26 ± 0.03(syst) ± 0.04(model), φ 3 =86±23°±13°(syst) ±11°(model), δ= 168±23°±11°(syst) ±21°(model) CP violation significance: 97% φ 3 (°) r δ (°) Combined: φ 3 =77 ± 13°(syst) ± 11° (model), r B = 0.26± ± 0.03(syst) ± 0.04(model), 95% CL interval: 26°<φ 3 <126° (incl. systematic error) CP violation significance: 95% +17° -19° B +  D 0 K + : B +  D *0 K + : Errors using toy MC experiments and frequentist approach r=0.20 ± 0.02(syst) ± 0.04(model), φ 3 = 51±46°±12°(syst) ±11°(model), δ= 302±46°±11°(syst) ±21°(model) CP violation significance: 23% (φ 3, δ) and (φ 3 +π, δ+π) ambiguity 140 fb -1 Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) 11 15

B +  D (*)0 cp K + searches 3 independent equations with 3 unknowns (φ 3,r,  ) Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW  3 and sin(2  1 +  3 ) Observables: asymmetries branching ratios Observables: asymmetries branching ratios ( G ronau, L ondon & W yler extension of method) D → f CP D 1  D CP=+ D 2  D CP=- D 1 =KK,  D 2 =K s  , K s φ, K s , K s  Reconstructed D CP decay modes:

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D (*)0 cp K + B +  D *0 2 K + statistical significance 4.5 σ B +  D 1 *0 K + statistical significance 5.6 σ Acp=-0.27±0.25 ±0.04 Acp=0.26±0.26±0.03 B +  D 1 *0 K + B +  D 1 *0 π + B +  D 2 *0 K + B +  D 2 *0 π + First observation B +  D cp *0 K fb -1

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D (*)0 cp K + Acp=0.07±0.14±0.06 Acp=-0.11±0.14 ±0.05 B +  D 1 0 K + B +  D 2 0 K fb -1 Precise measurement of B +  D cp 0 K + Peaking B background taken into account

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D ADS (  K - π + ) h + Can be used in the ADS method to extract φ 3 Suppressed modes ADS method(Atwood, Dunietz, Soni) Branching fraction is function of (φ 3,δ,r B ) r ~ 1, Br ~ 10 -7

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D ADS (  K - π + ) h + First observation B +  D ADS π ± ± 104 Yields from ΔE fits 250 fb -1 Suppressed modeB +  D ADS π + signal events 30.7±8.8 events Significance 5.8

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D ADS (  K - π + ) h + Yields from ΔE fits B +  D ADS K fb ± ± 25.9 Suppressed mode B +  D ADS K + signal events = 14.7±7.6 events Significance 2.7 We took into consideration peaking B background

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B +  D 0 ADS (  K - π + ) h + Limit on r B and Ratio R DK and R Dπ 250 fb -1 R DK can be translated to r B < 0.28 (90% CL) Dalitz Plot analysis from Belle gives: r B = 0.26± ±0.03 ±

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B 0  D (*)0 K events 3.2 σ events 2.1 σ B =( 3.18 ±0.32) x B < 4.8 x % CL 250 fb -1 First evidence of B 0  D *0 K 0 & hint for B 0  D *0 K *0

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B 0  D (*)0 K 0 B(B 0  D 0 K 0 )= (3.72±0.65±0.37)x10 -5 B(B 0  D 0 K* 0 )= (3.08±0.56±0.31)x fb -1 B 0  D 0 K 0 & B 0  D 0 K* 0 decays The new results are consistent with published in PRL (based on 78 fb -1 )

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) B 0  D (*)0 K fb -1 B 0  D 0 K *0 & B 0  D *0 K *0 upper limits (V ub suppressed) B < 1.9 x % CLB < 0.4 x % CL 3.3 events events r <0.39 D 0 K *0 (equvalent to r B but for neutral B)

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) sin(2φ 1 + φ 3 ) from B 0  D *- π + partial reconstruction Lepton tag

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) sin(2φ 1 + φ 3 ) from B 0  D *- π + partial reconstruction Reconstructed data: Same flavor (SF) 2823 Opposite Flavor (OF)10078 Results projected on cosθ hel axis superimposed on MC B 0  D *- π +, B 0  D *- ρ +, Correlated and Uncorrelated backgrounds SFOF 140 fb -1 Lepton tag B +  D *0 π + partial reconstruction : The decay products of the D are not reconstructed, but the topology of the prompt (“fast”) pion and that from D *+  D 0 π + decay (“slow”) allow separation of signal from background. The presence of a high momentum lepton in the event suppress continuum background.

sin(2φ 1 + φ 3 ) from B 0  D *- π + partial reconstruction Lepton tag S + = ± ± S - = ± ± Fit result Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) 140 fb -1 To extract S+ and S- we fix τ B and Δm at their world average values, after constrainnig wrong tag fraction w ± obtained from previous fit.. Belle has presented already B 0  D *- π + full reconstruction analysis for 140 fb -1 Assuming δ = 0 or π (factorisation), we obtain :

Andrzej Bożek for Belle Coll. ICHEP Beijing 2004  3 and sin(2  1 +  3 ) Summary B +  D 0 K + Dalitz analysis method(140fb -1 ) - first measurement of φ 3 (γ) φ 3 =77 ±13° ±11°, r B = 0.26± ±0.03 ±0.04 B +  D (*)0 cp K + searches (250fb -1 ) - first observation of B +  D* 0 cp K + - precise measurment in B +  D 0 cp K + system B +  D 0 ADS (  K - π + ) h + searches (250fb -1 ) - r B < 0.28 (90% CL) - first observation of B +  D *0 ADS π + - hint of signal in B +  D *0 ADS K + - Upper limit for R DK B 0  D (*)0 K 0 (250fb -1 ) - Evidence for B 0  D *0 K 0 - Reconfirmation of B 0  D 0 K 0, B 0  D 0 K* 0 - No signals in B 0  D 0 K *0 & B 0  D *0 K *0 (V ub suppressead) sin(2φ 1 + φ 3 ) time dependent analysis B 0  D *- π + partial reconstruction +17° -19° Submitted for publication New

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) Backup slides

Andrzej Bożek for Belle Coll. I NSTITUTE OF N UCLEAR P HYSICS, K RAKOW ICHEP Beijing 2004  3 and sin(2  1 +  3 ) Summary B +  D 0 K + Dalitz analysis method(140fb -1 ) - first measurement of φ 3 (γ) φ 3 =77 ±13°(syst) ±11°(model), B +  D (*)0 cp K + searches (250fb -1 ) - first observation of B +  D* 0 cp K + Acp1=-0.27±0.25, r1=1.43±0.28, Acp2=-0.26±0.26, r2=0.94± confirmation B +  D 0 cp K + Acp1=-0.08±0.15, r1=1.06±0.15, Acp2=-0.11±0.14, r2=1.29±0.16 B +  D 0 ADS (  K - π + ) h + searches (250fb -1 ) - first observation of B +  D *0 ADS π + B =( 5.7 ±0.3 ±0.3) x hint of signal in B +  D *0 ADS π + UL B < 7.6 x10 -7 (90% CL) - R DK < 4.7 x10 -2 (90% CL) B 0  D (*)0 K 0 (250fb -1 ) - Evidence for B 0  D *0 K 0 B =( 3.18 ±0.32) x Reconfirmation of B(B 0  D 0 K 0 )=(3.72±0.65±0.37)x10 -5, B(B 0  D 0 K* 0 )=(3.08±0.56±0.31)x No signals in B 0  D 0 K *0 & B 0  D *0 K *0 (V ub suppressed) sin(2φ 1 + φ 3 ) time dependent analysis B 0  D *- π + partial reconstruction S + = ± ± 0.017, S - = ± ± ° -19° Submitted for publication New

Effect of CPV and φ 3 (MC) Most sensitive regions of the Dalitz plot ( r = 0.125, δ =0, φ 3 =70°) MC generated statistics (50000 B  D 0 K decays) M (GeV 2 ) K s π – 2 B +  D 0 K + Dalitz analysis method

Analysis overview Determination of D 0  K s π + π – decay model Use flavor tagged sample of D 0 ‘s from D *–  D 0 π –, D 0  K s π + π – produced in continuum Selection of B +  D 0 K + events Selection of B +  D* 0 K +, D *0  D 0 π 0 events Unbinned maximum likelihood fit of the D 0 Dalitz plots with free parameters ( r, φ 3, δ ) Fits to control samples without opposite flavor contributions: B +  D 0 π +, B +  D* 0 π +, B 0  D* + π - Evaluation of statistical errors using large number of toy MC pseudo-experiments Evaluation of systematic and model errors Combined φ 3 measurement B +  D 0 K + Dalitz analysis method

Likelihood function Minimizing logarithmic likelihood: are Dalitz plot points Matrix element Efficiency shape - from phase-space MC Momentum resolution - from phase-space MC Background B +  D 0 K + Dalitz analysis method

Test sample fits B +  D 0 π + (1850 events) B +  D* 0 π + (351 events) B 0  D* + π - (517 events) r + =0.065±0.029, θ + =232±24° r - =0.069±0.027, θ - =228±23° r + =0.041±0.069, θ + =164±100° r - =0.057±0.054, θ - = 340±65° r + =0.005±0.058, θ + =324±686° r - =0.052±0.053, θ - = 201±57° Bias in B +  D 0 π + sample (background, fluctuation?), however, no CP violation observed Re(re iθ ) Im(re iθ ) B +  D 0 K + Dalitz analysis method

B +  D ( * )0 K + fit results r + =0.40±0.15, θ + =256±19° r - =0.21±0.15, θ - = 71±37° B +  D 0 K + B +  D* 0 K + r + =0.29±0.19, θ + =353±38° r - =0.38±0.19, θ - =249±32° Re(re iθ ) Im(re iθ ) B +  D 0 K + Dalitz analysis method

B +  D 0 ADS (  K - π + ) h + searches

sin(2φ 1 + φ 3 ) from B +  D *- π + partial reconstruction Lepton tag