&gamma determination from B → D(*)K decays from BaBar

We present here the bound on γ coming from the experimental measurements from BaBar experiment only. We use the following experimental inputs


DK (GLW) ACP+ = 0.35 ± 0.14 ACP- = -0.06 ± 0.15 RCP+ = 0.90 ± 0.13 RCP- = 0.86 ± 0.11
D*K (GLW) ACP+ = -0.10 ± 0.23
RCP+ = 1.06 ± 0.28
DK* (GLW) ACP+ = -0.08 ± 0.21 ACP- = -0.26 ± 0.42 RCP+ = 1.96 ± 0.41 RCP- = 0.65 ± 0.27
DK(*) (ADS) experimental likelihood from BaBar
D*K(ADS) AADS = -0.22 ± 0.63 RADS = 0.046 ± 0.032
DK, D->Kpipi0 (ADS) experimental likelihood from BaBar
DK Dalitz BaBar hep-ex/0607065,hep-ex/0507002
DK x+= -0.07 ± 0.06 x-= 0.04 ± 0.06 y+= -0.03 ± 0.07 y-= 0.06 ± 0.07
D*K x+= 0.08 ± 0.09 x-= -0.11 ± 0.09 y+= 0.10 ± 0.12 y-= -0.02 ± 0.10
DK* x+= -0.07 ± 0.27 x-= -0.20 ± 0.23 y+= -0.01 ± 0.37 y-= 0.26 ± 0.34

where the quantities x± and y± are defined in terms of r, γ and δ as x± = r • cos(δ ± γ) and y± = r • sin(δ ± γ). Additional care has to be taken in the case of DK*: Because of the presence of a non-resonance component, all the previous formulas have to be changed in this case, replacing all the r factors appearing linearly with r • κ, being κ a factor depending in principle by the cuts applied in each analysis. The effect was found to be small by BaBar GLW analysis, which also includes a systematic contribution to it. Because of that, we identify the κ factor of the GLW analysis with that one of the Dalitz measurement, since the difference is covered by such systematic effect.


Distributions from UTfit

We translated these constraints in terms of a bound on (ρ ; η) plane generating r and rDCS in the range [0,1] and the strong phases in [0,2π].

We show the distribution of γ and the corresponding effect on the (ρ ; η) plane:



γ distribution from DK, D*K and DK* with present measurements from BaBar with all the methods
(EPS), [JPG]

γ distribution from DK, D*K and DK* with present measurements from BaBar using all the methods.

γ distribution from DK, D*K and DK* with present measurements from BaBar: comparison of the methods
(EPS), [JPG]

comparison of total γ distribution from DK, D*K and DK* (BaBar only) to Dalitz and ADS+GLW methods alone

bound from B to DK and D*K with present measurements with all the methods (BaBar only)
(EPS), [JPG]

bound from B → DK, D*K and DK* decays with present measurements from BaBar using all the methods.


γ = 92 ± 34 ([20,164] @ 95% CL)
γ = -88 ± 34 ([-161,-16] @ 95% CL)



We also show the distributions of the parameters r for all the modes used (DK, D*K and DK*), together with the 2-dimensional plots of r vs γ:



r distribution from DK with present measurements with all the methods
(EPS), [JPG]

r distribution from DK with present measurements using all the methods.

distribution of r vs gamma from all the methods
(EPS), [JPG]

distribution of rDK vs γ using all the methods


rDK = 0.067 ± 0.035 ([0.004,0.129] @95% CL)


r distribution from D*K with present measurements from BaBar with all the methods
(EPS), [JPG]

r distribution from D*K decays with present measurements from BaBar using all the methods.

distribution of r(D*K) vs gamma from all the methods
(EPS), [JPG]

distribution of rD*K vs γ using BaBar measurements with all the methods


rD*K = 0.053 ± 0.038 ([0.002,0.132] @95% CL)


r distribution from DK* with present measurements from BaBar with all the methods
(EPS), [JPG]

r distribution from DK* decays with present measurements from BaBar using all the methods

distribution of r(DK*) vs gamma from all the methods
(EPS), [JPG]

distribution of rDK* vs γ using BaBar measurements with all the methods


rDK* = 0.16 ± 0.09 ([0.01,0.31] @95% CL)




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