Double-parton scattering effects in $D^0{B}^{+}$ and $B^{+}{B}^{+}$ meson-meson pair production in proton-proton collisions at the LHC

We extend our previous studies of double-parton scattering (DPS) to simultaneous production of $c\bar{c}$ and $b\bar{b}$ and production of two pairs of $b\bar{b}$. The calculation is performed within factorized ansatz. Each parton scattering is calculated within $k_T$-factorization approach. The hadronization is done with the help of fragmentation functions. Production of $D$ mesons in our framework was tested in our previous works. Here we present our predictions for $B$ mesons. A good agreement is achieved with the LHCb data. We present our results for $c\bar{c}b\bar{b}$ and $b\bar{b}b\bar{b}$ final states. For completeness we compare results for double- and single-parton scattering (SPS). As for $c\bar{c}c\bar{c}$ final state also here the DPS dominates over the SPS, especially for small transverse momenta. We present several distributions and integrated cross sections with realistic cuts for simultaneous production of $D^0{B}^{+}$ and $B^{+}{B}^{+}$, suggesting future experimental studies at the LHC.