Abstract

We investigate dijet production from proton-nucleus collisions at the Large Hadron Collider (LHC) as a means for observing superfast quarks in nuclei with Bjorken $x>1$. Kinematically, superfast quarks can be identified through directly measurable jet kinematics. Dynamically, their description requires understanding several elusive properties of nuclear QCD, such as nuclear forces at very short distances, as well as medium modification of parton distributions in nuclei. In the present work, we develop a model for nuclear parton distributions at large $x$ in which the nuclear dynamics at short distance scales are described by two- and three-nucleon short range correlations (SRCs). Nuclear modifications are accounted for using the color screening model, and an improved description of the EMC effect is reached by using a structure function parametrization that includes higher-twist contributions. We apply QCD evolution at the leading order to obtain nuclear parton distributions in the kinematic regime of the LHC, and based on the obtained distributions calculate the cross section for dijet production. We find not only that superfast quarks can be observed at the LHC, but also that they provide sensitivity to the practically unexplored three-nucleon SRCs in nuclei. Additionally, the LHC can extend our knowledge of the EMC effect to large $Q^2$ where higher-twist effects are negligible.

Highlights

  • Another interesting aspect of nuclear quantum chromodynamics (QCD) is the possibility for quarks to carry a light cone momentum fraction higher than that of a free nucleon at rest

  • We develop a model for nuclear parton distributions at large x in which the nuclear dynamics at short distance scales are described by two- and three-nucleon short range correlations (SRCs)

  • We find that the rates of the dijet production in p A collisions at kinematics accessible by ATLAS and CMS are sufficient to observe superfast quarks and to get information about the practically unexplored three-nucleon SRCs in nuclei

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Summary

Introduction

Another interesting aspect of nuclear QCD is the possibility for quarks to carry a light cone momentum fraction higher than that of a free nucleon at rest. We propose a new approach for probing superfast quarks by considering dijet production in protonnucleus collisions at LHC kinematics This approach is based on the possibility of relating the light cone momentum fractions of the initial partons to the measured kinematics of dijets; by selecting transverse jet momenta and pseudo-rapidities, one can isolate scattering off the superfast quarks within the nucleus. We develop a theoretical framework for calculating this reaction, which requires addressing several issues, such as modeling the high-momentum (short range) properties of the nuclear wave function, and calculating the medium modification of parton distributions within the nucleus and evolving this modification to the large Q2 values relevant to the LHC. The Appendix gives detailed derivations of the factorization formula and the SRC parts of the nuclear light cone fraction distributions

Basic formalism
Jet kinematics
Dijet cross section
Nuclear PDFs
Light cone distribution and SRCs
Mean field distribution
Two-nucleon correlations
Three-nucleon correlations
Medium modifications
Correctly defining x
Color screening model of the EMC effect
Evolution of medium modifications
Hard subprocesses
Numerical estimates
Kinematics considered
Three-fold differential cross section
Partially integrated cross section
Conclusions
Findings
D12 λ2
Full Text
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