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QCD saturation at the LHC: comparisons of models to p+p and A+A data and predictions for p+Pb collisions

Prithwish Tribedy, Raju Venugopalan

TL;DR

This paper extends a CGC-based kt-factorization framework, constrained by HERA data, to compare saturation-model predictions with p+p, A+A, and p+A data at RHIC and LHC and to forecast p+Pb collisions. It shows that IP-Sat and rcBK saturation models describe bulk observables like multiplicity distributions and pseudorapidity spectra across collision systems, with running coupling improving high-energy behavior and centrality trends. The results support a picture where initial-state gluon saturation and Glasma flux tubes influence particle production, while residual discrepancies in peripheral A+A point to additional final-state entropy production. The work provides clear RpA predictions for LHC p+A and guides interpretation of upcoming p+Pb measurements.

Abstract

In a previous paper (arXiv:1011.1895), we showed that saturation models, constrained by e+p HERA data on inclusive and diffractive cross-sections, are in good agreement with p+p data at LHC in the soft sector. Particularly impressive was the agreement of saturation models with the multiplicity distribution as a function of $n_{\rm ch.}$. In this paper, we extend these studies further and consider the agreement of these models with data on bulk distributions in A+A collisions. We compare our results to data on central and forward particle production in d+Au collisions at RHIC and make predictions for inclusive distributions in p+Pb collisions at the LHC.

QCD saturation at the LHC: comparisons of models to p+p and A+A data and predictions for p+Pb collisions

TL;DR

This paper extends a CGC-based kt-factorization framework, constrained by HERA data, to compare saturation-model predictions with p+p, A+A, and p+A data at RHIC and LHC and to forecast p+Pb collisions. It shows that IP-Sat and rcBK saturation models describe bulk observables like multiplicity distributions and pseudorapidity spectra across collision systems, with running coupling improving high-energy behavior and centrality trends. The results support a picture where initial-state gluon saturation and Glasma flux tubes influence particle production, while residual discrepancies in peripheral A+A point to additional final-state entropy production. The work provides clear RpA predictions for LHC p+A and guides interpretation of upcoming p+Pb measurements.

Abstract

In a previous paper (arXiv:1011.1895), we showed that saturation models, constrained by e+p HERA data on inclusive and diffractive cross-sections, are in good agreement with p+p data at LHC in the soft sector. Particularly impressive was the agreement of saturation models with the multiplicity distribution as a function of . In this paper, we extend these studies further and consider the agreement of these models with data on bulk distributions in A+A collisions. We compare our results to data on central and forward particle production in d+Au collisions at RHIC and make predictions for inclusive distributions in p+Pb collisions at the LHC.

Paper Structure

This paper contains 5 sections, 12 equations, 11 figures.

Figures (11)

  • Figure 1: Multiplicity distribution for p+p collisions in the IP-Sat model compared to data from UA5, CMS and ALICE ua53Khachatryan:2010nkalice2.
  • Figure 2: Transverse momentum distributions at forward rapidities in rcBK and IP-Sat models compared to STAR nucl-ex/0602011 and BRAHMS nucl-ex/0403005 data. The gray bands show the uncertainty in the determination of the normalization constant.
  • Figure 3: Left: Energy dependance of the multiplicity per participant in the IP-Sat model for p+p and A+A collisions. For the A+A case, the calculation is done for the $0-6\%$ centrality. Right: same plot for A+A with fixed (solid) and running (dashed) coupling. Data points for p+p are from ref. arXiv:1004.3034arXiv:1002.0621pp_mult_1pp_mult_2 and for A+A from ref. arXiv:0808.2041AA_mult
  • Figure 4: Centrality dependance of the inclusive multiplicity in the IP-Sat model compared to RHIC nucl-ex/0201005 and LHC arXiv:1012.1657 data. Left: (fixed coupling) $200$ GeV values for both data and model are multiplied by a factor 2.08. Right: Same plot comparing running (solid curve) and fixed coupling (dashed curve) results in the IP-Sat model.
  • Figure 5: Pseudo-rapidity distribution from ${\mathbf{k}_\perp}$-factorization formula. Left: fixed coupling results for 200 GeV and 2.76 TeV. Right: Same plot(m=0.4) at 2.76 TeV with running (solid curve) and fixed coupling(dashed curve) in ${\mathbf{k}_\perp}$-factorization formula. Data points are from ref. nucl-ex/0210015arXiv:1107.4800
  • ...and 6 more figures