Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data

Abstract

We suggest a modified form of a unitarized BFKL equation imposing the so-called kinematic constraint on the gluon evolution in multi-Regge kinematics. The underlying nonlinear effects on the gluon evolution are investigated by solving the unitarized BFKL equation analytically. We obtain an equation of the critical boundary between dilute and dense partonic system, following a new differential geometric approach and sketch a phenomenological insight on geometrical scaling. Later we illustrate the phenomenological implication of our solution for unintegrated gluon distribution $f(x,k_T^2)$ towards exploring high precision HERA DIS data by theoretical prediction of proton structure functions ($F_2$ and $F_L$) as well as double differential reduced cross section $({\sigma }_r)$. The validity of our theory in the low $Q^2$ transition region is established by studying virtual photon-proton cross section in light of HERA data.

References in corpus (29)

• Operator expansion for high-energy scattering
• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• BFKL pomeron in the next-to-leading approximation
• Saturation in Diffractive Deep Inelastic Scattering
• Geometric scaling for the total gamma^* p cross section in the low x region
• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• The Energy Dependence of the Saturation Momentum
• Solution to the evolution equation for high parton density QCD
• Small x: Two Pomerons!
• A unified BFKL and GLAP description of $F_2$ data
• Traveling wave fronts and the transition to saturation
• The PDF4LHC report on PDFs and LHC data: Results from Run I and preparation for Run II
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Proton structure function at small Q^2
• Unintegrated gluon distribution from modified BK equation
• Properties of the BFKL equation and structure function predictions for HERA
• Constraints on gluon evolution at small x
• Geometric scaling in diffractive deep inelastic scattering
• A new approach to parton recombination in a QCD evolution equation
• The spread of the gluon k_t-distribution and the determination of the saturation scale at hadron colliders in resummed NLL BFKL
• Gluon shadowing in the low x region probed by the LHC
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Neutron spin-dependent structure function, Bjorken sum rule, and first evidence for singlet contribution at low $x$
• Antishadowing effects in the unitarized BFKL equation
• Color Dipole picture at Low-x DIS: The Mass Range of Active Photon Fluctuations
• BFKL equation for an integrated gluon density
• Nuclear Shadowing and Antishadowing in a Unitarized BFKL Equation

Cited by in corpus (3)

• An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
• Investigation of proton structure function $F_2^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation
• Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics