Abstract
Steep rise of parton densities in the limit of small parton momentum fraction x poses a challenge for describing the observed energy-dependence of the total and inelastic proton-proton cross sections σ p p tot / inel : considering a realistic parton spatial distribution, one obtains a too-strong increase of σ p p tot / inel in the limit of very high energies. We discuss various mechanisms which allow one to tame such a rise, paying special attention to the role of parton-parton correlations. In addition, we investigate a potential impact on model predictions for σ p p tot, related to dynamical higher twist corrections to parton-production processes.
Highlights
Modeling of high-energy collisions of hadrons is of considerable importance for experimental studies in the high-energy collider and cosmic ray fields
Using the collinear factorization of the perturbative quantum chromodynamics [2,3], it can be expressed as a convolution of parton momentum distribution functions (PDFs) of the proton, f I/p ( x, Q2 ), with the Born parton scatter cross-section, dσI2J→2 /dp2t : jet σpp (s, pt,cut ) =
While traditional applications of perturbative quantum chromodynamics (pQCD) are based on the leading twist collinear factorization [2,3], it has been demonstrated in Refs. [41,42] that such a factorization holds for the leading, O(1/Q2 ), power corrections to hard scattering processes
Summary
Modeling of high-energy collisions of hadrons is of considerable importance for experimental studies in the high-energy collider and cosmic ray fields (see, e.g., Ref. [1] for a review of the latter subject). Because of a steep rise of parton densities in hadrons in the limit of small parton momentum fraction x, the corresponding model approaches face severe consistency problems related to a very rapid increase of both the interaction cross sections and of the yields of produced particles in the very high energy limit. The energy rise of σpp is related to the low x behavior of the PDFs f I/p ( x, Q ), which is driven, in turn, by the increase of the phase space for parton evolution Describing the latter by the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations [4,5,6], we have approximately: jet σpp (s, pt,cut ) ∝ 2 s∆eff ,. At sufficiently high energies one inevitably deals with multiple jet production per inelastic collision, which is usually referred to as multiparton interactions (MPIs) (see, e.g., Ref. [7])
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