Rare fluctuations of the $S$-matrix at NLO in QCD

Abstract

We calculate the rare fluctuations of the $S$-matrix on top of the full next-to-leading order corrections in the center of mass frame. The relevant result in the saturation regime shows that the exponential factor of the $S$-matrix is $\sqrt{2}$ as large as the result which emerges when the rare fluctuation effects are taken into account. We find that the factor of $\sqrt{2}$ change of the exponential factor is induced by the gluon loop corrections which compensate part of rapidity decrease of the $S$-matrix made by quark loops and lead to the rare fluctuations becoming important again. To ensure the relevant results of the $S$-matrix are independent of the frame choice, the rare fluctuations of the $S$-matrix are also derived in a general frame. It is found that all the results are consistent with each other in both frames.

arXiv comment15 pages, 4 figures

References in corpus (34)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• Triumvirate of Running Couplings in Small-x Evolution
• Solution to the evolution equation for high parton density QCD
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Resumming double logarithms in the QCD evolution of color dipoles
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Small-x physics beyond the Kovchegov equation
• New Scaling at High Energy DIS
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Next-to-leading order Balitsky-Kovchegov equation with resummation
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• Nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• Gluon Distributions and Color Charge Correlations in a Saturated Light-cone Wavefunction
• The Iancu-Mueller factorization and high energy asymptotic behaviour
• High energy scattering in the saturation regime including running coupling and rare fluctuation effects
• On parton number fluctuations at various stages of the rapidity evolution
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• QCD unitarity constraints on Reggeon Field Theory
• Solution to the evolution equation at NLL for high parton density QCD
• Fluctuations of the multiplicity of produced particles in onium-nucleus collisions
• Gluon density fluctuations in dilute hadrons
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region

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• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to the HERA data
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data