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Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC (1210.3890v3)

Published 15 Oct 2012 in hep-ph, nucl-ex, and nucl-th

Abstract: We demonstrate that rapidity separated di-hadron spectra in high multiplicity proton-proton collisions at the LHC can be quantitatively described by a combination of BFKL and saturation dynamics. Based on these results, we predict the systematics of di-hadron spectra in proton-nucleus collisions at the LHC.

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Summary

Overview of BFKL and Saturation Dynamics in Di-Hadron Spectra at the LHC

This paper presents a detailed investigation into the dynamics governing rapidity-separated di-hadron spectra in high multiplicity proton-proton collisions at the LHC. The authors, Kevin Dusling and Raju Venugopalan, provide compelling evidence that these spectra can be precisely described by a combination of Balitsky-Fadin-Kuraev-Lipatov (BFKL) and saturation dynamics within Quantum Chromodynamics (QCD). They propose that the simultaneous use of these approaches can elucidate the intricate details of di-hadron production, setting a precedent for future research in proton-nucleus collisions.

Core Concepts and Methodology

In high-energy regimes, QCD describes interactions mediated by gluon exchanges that form ladder-like structures. These gluon exchanges are characterized by possessing small longitudinal momentum fractions (xx) while maintaining large transverse momenta, ensuring that the coupling between them remains weak. The paper is deeply rooted in the frameworks provided by BFKL evolution equations and gluon saturation. The BFKL framework accounts for the resummation of logarithms in xx, facilitating an accurate portrayal of multiparticle production. Complementarily, gluon saturation theory predicts a deceleration in the growth of gluon distributions due to nonlinear dynamics when approaching low xx values. This behavior is encapsulated by the Color Glass Condensate (CGC) effective field theory.

Numerical and Experimental Insights

The paper highlights how the BFKL and saturation dynamics within the CGC-EFT power counting provide a quantitative description of the high multiplicity di-hadron spectra measured by the CMS collaboration at the LHC. It distinctively characterizes the di-hadron correlation patterns in the azimuthal and rapidity domains, wherein the near-side configuration exhibits a pronounced "ridge" effect. The authors explore analyzing Glasma graphs' contribution to the near-side di-hadron yield, finding significant enhancements in high multiplicity events.

On the away-side, the paper describes the contributions of BFKL dynamics, indicating the essential role of universal BFKL Green functions in accounting for angular decorrelations due to gluon emissions. This stands in contrast with conventional back-to-back QCD graphs, thus providing insights into the perturbative “QCD string" dynamics and gluon saturation's interrelation.

Predictions and Implications

This research not only advances prevailing theories but makes significant predictions for di-hadron spectra in proton-lead collisions at the LHC. These predictions suggest differentiated yields in minimum bias versus central collisions, contingent on variations in initial saturation scales. The application of BFKL and Glasma graph analyses presents potential for deeper understanding of high-energy di-hadron interactions, surpassing existing models by integrating extensive QCD dynamics.

The findings have ample practical implications: by offering precise predictions on correlation yields in p+Pb interactions, they lay groundwork for future experimental investigations that could validate or refine models of BFKL and CGC-EFT applicability in such settings. The authors also hint at future developments involving di-jet production, promising broader tests across different collision types.

Conclusion

This paper is significant in its synthesis of BFKL dynamics with gluon saturation effects, providing a rigorous framework for interpreting di-hadron correlations at high energy scales like those at the LHC. The results underline the robustness of QCD-driven models in capturing complex interaction phenomena and set a paradigm for future investigations into gluon dynamics. The integration of theoretical and experimental perspectives offers pathways to a refined understanding of high-energy collision dynamics, rendering it an exemplary paper in the role of BFKL evolution alongside gluon saturation.

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