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

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


DK (GLW) ACP+ = 0.06 ± 0.15 ACP- = -0.12 ± 0.15 RCP+ = 1.13 ± 0.18 RCP- = 1.17 ± 0.20
D*K (GLW) ACP+ = -0.20 ± 0.22 ACP- = 0.13 ± 0.31 RCP+ = 1.41 ± 0.26 RCP+ = 1.15 ± 0.33
DK* (GLW) ACP+ = -0.02 ± 0.34 ACP- = 0.19 ± 0.50

DK(ADS) RADS = 0.000 ± 0.008
Dalitz Belle experimental likelihood for D(*)K experimental likelihood for DK*

Additional care has to be taken in the case of DK*: Because of the presence of a non-resonance component, GLW 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 for Daltiz method ia independently taken into account in the systematic error.


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 Belle with all the methods
(EPS), [JPG]

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

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

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

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

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


γ = 74 ± 24 ([24,128] @ 95% CL)
γ = -106 ± 24 ([-156,-52] @ 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 ± 0.037 ([0.006,0.140] @95% CL)


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

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

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

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


rD*K = 0.19 ± 0.11 ([0.02,0.43] @95% CL)


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

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

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

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


rDK* = 0.26 ± 0.17 ([0.02,0.63] @95% CL)




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