Abstract
We provide a description of the transverse momentum spectrum of single inclusive forward jets produced at the LHC, at the center-of-mass energies of 7 and 13 TeV, using the high energy factorization (HEF) framework. We subsequently study double inclusive forward jet production and, in particular, we calculate contributions to azimuthal angle distributions coming from double parton scattering. We also compare our results for double inclusive jet production to those obtained with the Pythia Monte Carlo generator. This comparison confirms that the HEF resummation acts like an initial state parton shower. It also points towards the need to include final state radiation effects in the HEF formalism.
Highlights
Processes with jets produced at forward rapidities offer unique access to the corner of phase space where the magnitude of the longitudinal momentum of one of the incoming partons is close to that of the proton, whereas the other parton carries very small fraction of proton’s longitudinal momentum, x 1
In order to comply with the state of the art of theoretical development, description of the single-parton scattering (SPS) process needs corrections from the improved transverse momentum dependent parton density (TMD) factorization [11], as it gets contribution from the so-called quadrupole configurations of colour glass condensate (CGC) states and the latter are important in the non-linear domain
We focus on the region of azimuthal distance between the two leading jets, φ, where the bulk of linear and nonlinear KS densities [39] give comparable results [19] and our aim is just to quantify the potential corrections coming from other physical effects like double-parton scattering (DPS) contributions and final-state parton shower
Summary
Processes with jets produced at forward rapidities offer unique access to the corner of phase space where the magnitude of the longitudinal momentum of one of the incoming partons is close to that of the proton, whereas the other parton carries very small fraction of proton’s longitudinal momentum, x 1. The resummation leads to gluon distributions that depend on x, and on the transverse component of gluon’s four-momentum, kt , and the hadronic cross section factorizes into a convolution of such unintegrated gluon distributions and the corresponding off-shell matrix elements This approach, commonly referred to as kt -factorization or high energy factorization (HEF) [10], will be the basic framework used to study forward jet production in this work. To the above, one can attempt to calculate predictions for the production of forward jets using general purpose Monte Carlo (MC) programs, such as Pythia [13] or Herwig [14], which are based on the collinear factorization of a 2 → 2 process, supplemented with an initial- and a final-state parton shower (PS) The advantage of this approach is that it allows one to include a range of potentially important physical effects, such as multiparton interactions, final-state radiation and non-perturbative corrections. It lacks formal resummation of terms enhanced with αs ln(1/x) and the correct behaviour at low x is only modelled by appropriate initial condition for evolution of the collinear parton density functions
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