Production of four-quark states with double heavy quarks at LHC

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α s ​ ( Q ) = b 0 r ​ a ​ t ⋅ ( 1 − b 1 ​ log ⁡ ( r ​ a ​ t ) / r ​ a ​ t ) \alpha_{s}(Q)=\frac{b_{0}}{rat}\cdot(1-b_{1}\log(rat)/rat) , α s ​ ( m Z ) = 0.118 \alpha_{s}(m_{Z})=0.118 , λ 4 = 0.32 \lambda_{4}=0.32 , λ 5 = 0.223 \lambda_{5}=0.223 , r ​ a ​ t = log ⁡ ( Q 2 λ 2 ) rat=\log(\frac{Q^{2}}{\lambda^{2}}) , b 0 = 12 ​ π 33 − 2 ​ n f b_{0}=\frac{12\pi}{33-2n_{f}} , b 1 = 6 ⋅ ( 153 − 19 ​ n f ) ( 33 − 2 ​ n f ) 2 b_{1}=\frac{6\cdot(153-19n_{f})}{(33-2n_{f})^{2}} , λ = λ 4 \lambda=\lambda_{4} and n f = 4 n_{f}=4 , When Q < m b Q<m_{b} , λ = λ 5 \lambda=\lambda_{5} and n f = 5 n_{f}=5 , When Q > m b Q>m_{b}

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