Abstract
A generic expression to compute triple parton scattering cross sections in high-energy proton-proton (pp) collisions is presented as a function of the corresponding single parton cross sections and the transverse parton profile of the proton encoded in an effective parameter σ_{eff,TPS}. The value of σ_{eff,TPS} is closely related to the similar effective cross section that characterizes double parton scatterings, and amounts to σ_{eff,TPS}=12.5±4.5 mb. Estimates for triple charm (cc[over ¯]) and bottom (bb[over ¯]) production in pp collisions at LHC and FCC energies are presented based on next-to-next-to-leading-order perturbative calculations for single cc[over ¯], bb[over ¯] cross sections. At sqrt[s]≈100 TeV, about 15% of the pp collisions produce three cc[over ¯] pairs from three different parton-parton scatterings.
Highlights
A generic expression to compute triple parton scattering cross sections in high-energy proton-proton collisions is presented as a function of the corresponding single parton cross sections and the transverse parton profile of the proton encoded in an effective parameter σeff;TPS
In this Letter, we present for the first time a quantitative estimate of the cross section for observing three separate hard interactions in a pp collision [triple parton scattering (TPS)], a possibility considered earlier [9,10,11], but for which no simple formula of the expected rates based on the underlying single parton scattering (SPS) cross sections existed so far
We review first the theoretical expression for TPS cross sections in a generic hadron-hadron collision, expressed as a convolution of SPS cross sections and generalized parton densities, and derive a simple factorized expression for the TPS cross sections as a triple product of SPS cross sections normalized by an effective cross section σeff;TPS characterizing the transverse area of triple partonic interactions
Summary
A generic expression to compute triple parton scattering cross sections in high-energy proton-proton (pp) collisions is presented as a function of the corresponding single parton cross sections and the transverse parton profile of the proton encoded in an effective parameter σeff;TPS. Γihjkðx1; x2; x3; b1; b2; b3; Q21; Q22; Q23Þ are the triple parton distribution functions, depending on the momentum fractions x1, x2, x3 at transverse positions b1, b2, b3 of the three partons i, j, k, producing final states a, b, c at energy scales Q1, Q2, Q3, with subprocess cross sections σial, σjbm, σkn c
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