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B D ( * ) K GLW, ADS Y. Horii (Nagoya) and K. Trabelsi (KEK) Referees: Z. Dolezal, N. Muramatsu, K. Sakai Thanks to very active refereeing! 1
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ϕ 3 from B D (*) K decays Tree-level ϕ 3 determination from interference of B DK and B DK amplitudes. – Need D and D to decay to common final state. Relative magnitude of suppressed amplitude is r B ~ 0.1. Relative weak phase is ϕ 3, and relative strong phase is δ B. _ _ ϕ 3 ~ −arg(V ub ) Color-suppressedColor-allowed 2
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r D and δ D : well known. Definitions of A and R given in BN1201. 4
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BN1201 (presented at LP11, this talk) Y. Horii, K. Trabelsi et al., PRL (2011) BN1201 (will be analyzed later) r D and δ D : well known. 5
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Key Points of the Method Continuum suppression – 9 variables: LR(KSFW), Δz, cosθ K D, cosθ B, |qr|, cosθ T, d DK, Q B Q K, and ΔQ. (For details, see BN1201.) – Transformed: NB NB’. 2-D fit for ΔE and NB’. – No significant signal loss due to tight cut on NB’. Simultaneous fit for Dπ/DK. – Better understanding of Dπ/DK feed across. 6 Signal MCqq MC
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1. Result for B DK GLW 7
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Dπ (KID 0.6) = (7.65 ± 0.14)%, consistent w/ (7.94 ± 0.31)% in MC x Calib. 8
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9 CP+
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10 CP−
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Comparison of the Results Since GGSZ observables are related to the same parameters ( ϕ 3, r B, δ B ), we obtain predictions on R CP± and A CP± from the GGSZ observables. Our results are consistent with GGSZ predictions. WA, GGSZ Belle, GLW WA, GLW WA taken from HFAG 2011 summer. Belle, GLW WA, GLW WA, GGSZ A CP+ A CP− 1.01.11.21.30.70.80.91.01.11.21.30.70.80.9 0 −0.2 −0.4 0.4 0.2 0 −0.2 −0.4 0.4 0.2 12 R CP+ R CP−
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2. Result for B D*K ADS 13
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First Evidence for B D*K ADS Mode Signal seen with 3.5σ significance for D* Dγ mode. Ratio to favored mode: Difference between R Dπ0 and R Dγ : indication of the effect of the interference term 2r B *r D cos (δ B *+δ D ) cos ϕ 3 (opposite sign for R Dπ0 and R Dγ ). continuum Signal D*πD*π BB DK/Dπ Signal D*πD*π BB DK/Dπ continuum 14
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Asymmetries for B D*K ADS Mode Asymmetry: Indication of opposite sign for A Dπ0 and A Dγ : consistent with expectation. (Opposite strong phase between D* Dπ 0 and D* Dγ.) Combining R Dπ0, R Dγ, A Dπ0, and A Dγ : indication of negative cos(δ B *+δ D )cos ϕ 3 and positive sin(δ B *+δ D )sin ϕ 3. Consistent with B D (*) K Dalitz result. 15
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Comparison of the Results Since GGSZ observables are related to the same parameters ( ϕ 3, r B, δ B ), we obtain predictions on R ADS and A ADS from the GGSZ observables. Our results are consistent with GGSZ predictions. WA, GGSZ Belle, ADS (Error of A ADS,Dπ 0 is larger, because of smaller R ADS,Dπ 0.) WA, ADS WA taken from HFAG 2011 summer. Belle, ADS WA, ADS WA, GGSZ A ADS,Dπ 0 A ADS,Dγ 0.030.040.050.0600.010.02 0.030.040.050.0600.010.02 0 −0.5 −1 1 0.5 0 −0.5 −1 1 0.5 16 R ADS,Dπ 0 R ADS,Dγ
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3. Extraction of ϕ 3 17
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Global fit for ϕ 3 Global ϕ 3 fit using CKMfitter. – Includes all B D (*) K observables over the experiments. Recent activities certainly improve the precision. Now the precision is 10°! Significant contribution from Belle. 18 New results for B DK ADS added. Belle (PRL), CDF (PLHC11), and LHCb (EPS11). New results by Belle for B D*K ADS (LP11) and B DK GLW (LP11).
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Summary and Plan B DK GLW – Large asymmetry (~30%) for D CP+. – Opposite signs for the asymmetries for CP+ and CP−. B D*K ADS – First evidence (3.5σ) for D* Dγ. – Difference between D* Dγ and Dπ 0 : information of ϕ 3. Extraction of ϕ 3 – Value obtained by CKMfitter is (68±10)°. – Significant contribution from recent results of Belle. Will add D K S η(3π), K S ω, and K S η’ in B DK GLW analysis, analyze B D*K GLW, and prepare paper draft. 19
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Backup slides 20
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Check for B D*π ADS: Validity of the Method continuum D*KD*K BB DK/Dπ D*πD*π D*KD*K BB DK/Dπ continuum D*πD*π 21
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ϕ 3 from B DK, D CP eigenstates (GLW) B - D CP+ K - CP violation clearly established. New from Belle, full data (772M BB) B + D CP+ K + B - D CP- K - B + D CP- K + 22
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ϕ 3 from B DK, D suppressed states (ADS) LHCb also reported the evidence. Promising method for ϕ 3 determination. Y. Horii et al. (Belle), published in PRL 106, 231803 in June 2011 First evidence (4.1σ) obtained. Indication of negative asymmetry. 23
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ϕ 3 from B D * K, D suppressed states (ADS) Suppressed mode also appearing in B D * K, D* Dγ mode. New from Belle, full data (772M BB) 3.5σ 24
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