Measurement of the decays 𝛬$^0_𝑏$ → 𝐷$^+$𝑝𝜋$^−$𝜋$^−$ and 𝛬$^0_𝑏$ → 𝐷$*^+$𝑝𝜋$^−$𝜋$^−$ in 𝑝𝑝 collisions at the Large Hadron Collider

Analysis of experimental data from 𝑝𝑝 collisions for observation of the decays 𝛬$^0_𝑏$ → 𝐷$^+$𝑝𝜋$^−$𝜋$^−$ and 𝛬$^0_𝑏$ → 𝐷$*^+$𝑝𝜋$^−$𝜋$^−$ and measurement of their brancing fractions normalized to the one of the 𝛬𝛬$^0_𝑏$ → 𝛬$^+$ 𝑐 𝜋$^+$𝜋$^−$𝜋$^−$ decay is discussed. Contributions to the invariant 𝐷+𝑝𝜋$^−$𝜋$6−$ mass spectrum near the 𝛬$^0_𝑏$ mass are described. A signal model is suggested for each of them. Shapes of contributions of the decays with extra neutral particles production are calculated. Systematic uncertainties associated with the suggested methods are studied.