Color-singlet J/{psi} production at O({alpha}{sub s}{sup 6}) in {Upsilon} decay
To clarify the conflict between the theoretical predictions and experimental measurements of the inclusive J/{psi} production in {Upsilon} decay, we consider the {alpha}{sub s}{sup 6} order color-singlet (CS) contributions of processes {Upsilon}{yields}J/{psi}+gg and {Upsilon}{yields}J/{psi}+gggg. Both the branching ratio and the J/{psi} momentum spectrum are calculated, and the branching ratio (4.7x10{sup -4}) is larger than the leading-order contribution ({alpha}{sub s}{sup 5}, {Upsilon}{yields}J/{psi}+ccg). Together with the QCD and QED leading-order contributions considered in our previous work, the CS prediction of the branching ratio for the direct J/{psi} production is Br({Upsilon}{yields}J/{psi}{sub direct}+X)=0.90{sub -0.31}{sup +0.49}x10{sup -4}, which is still about 3.8 times less than the CLEO measurement. We also obtain a preliminary CS prediction of R{sub cc}=(B({Upsilon}{yields}J/{psi}+cc+X)/B({Upsilon}{yields}J/{psi}+X)) and find that the value 0.39{sub -0.20}{sup +0.21} is much larger than the color-octet prediction, and suggest to measure this quality in future experimental analysis.