1. J/ψ Production in pPb Collisions at the LHC Zhang, Hong-Fei Third Military Medical University

2. Contents Quark-gluon Plasma (QGP) and J/ψ Production Suppression Cold Nuclear Matter (CNM) Effects Introduction to Non-relativistic QCD (NRQCD) J/ψ Production in pPb Collisions at the LHC Summary and Outlook

3. Quark-gluon Plasma (QGP) and J/ψ Production Suppression

4. Nuclear at High Density At low density, the nucleons in a nuclear are distinguished. With increasing density, the nucleons start to overlap. Free quarks exist in this kind of matter. It is a new state of matter, which is called Quark-gluon Plasma (QGP).

5. Phase Diagram of QCD Matter

6. Quarkonium in QGP Quarks in QGP are deconfined. Strong interactions are suppressed. Quarkonium suppression is a signature of QGP matter.

7. Cold Nuclear Matter (CNM) Effects

8. Quarkonium Suppression via CNM Effects Not all the quarkonium suppression is due to QGP formation. J/ψ production in proton-nuclear (pA) collisions in forward rapidity region, where no QGP is expected, is also suppressed with respect to scaled proton-proton (pp) collisions. One should first distinguish CNM effects to confirm the hot nuclear matter (HNM) effects. High-precision prediction of CNM effects is necessary.

9. Possible CNM effects Parton distribution function (PDF) shadowing and anti-shadowing Cronin effect Initial state energy loss Heavy quark energy loss Absorption effects in pA collisions

10. PDF Shadowing (EPS09)

11. Cronin Effect The partons are not restricted to collinear direction Initial-state scattering provide the partons with transverse momentum A simple normalized Gaussian form of distribution of k T is assumed

12. High p t Heavy Quarkonium Production For high p t heavy quarkonium production, Cronin effect can be neglected. We don’t consider energy loss and absorption, and provide a baseline for CNM effects study. In high p t region, perturbative calculation works.

13. Introduction to Non-relativistic QCD (NRQCD)

14. Difficulties in the calculations of heavy quarkonium related processes Color-singlet (CS) model was the first generally used calculation scheme after the discovery of heavy quarkonia. For J/ψ and ψ(2S) production at hadron colliders, theoretical predictions via CS model was 1~2 orders smaller than experimental data at the Tevatron. For some P-wave quarkonia decays, even at leading order, divergences do not cancel.

15. J/ψ and ψ(2S) production at the Tevatron Prompt production of J/ψ and ψ(2S) at the Tevatron, with √s=1.8TeV, and |η|<0.6. The solid line correspond to theoretical prediction based on CS model. PRL 79, 572 (1997)

16. Nonrelativistic Quantum Chromodynamics (NRQCD) NRQCD was proposed in 1994 and solved the two puzzles. In NRQCD framework, the cross section can be factorized into the summation of products of a short-distance coefficient and a long-distance matrix element (LDME), These terms are expanded in v (the relative velocity of the quark and anti-quark in the quarkonium). CS model only counts one of the leading-order terms in v.

17. Predictions of J/ψ production at hadron colliders via NRQCD J/ψ production at the Tevatron. NRQCD prediction can explain the experiment.

18. Success of NRQCD

19. J/ψ (ψ(2S)) Production at the Tevatron

20. J/ψ (ψ(2S)) Production at the LHC

21. Summary NRQCD is one of the most successful models for heavy quarkonium productions and decays. It reconciles experimental data from different experiment collaborations. The number of free parameters is few. It can provide precise knowledge of heavy quarkonium production.

22. J/ψ Production in pPb Collisions at the LHC In Collaboration with Professor Zhang, Ben-Wei

23. Why Next-to-leading Order (NLO)? Three parts contribute to prompt J/ψ production: direct part, contributions from χ c and ψ(2S) feeddown. Leading order (LO) calculation can reproduce direct part and ψ(2S) feeddown part in high precision, however, fails in χ c feeddown predictions.

24. χ c1 Production at LO and NLO (ATLAS)

25. χ c2 Production at LO and NLO (ATLAS)

26. χ c Production at LO and NLO (LHCb)

27. Selection of Experimental Data In low pt region, resummation is required, and relativistic correction is non-linear. We adopt p t >7GeV data. For large rapidity region, a new scale emerges: E(J/ψ)/pt=0.5*exp(y). We adopt 1.5<y<3.0 data.

28. p t Distribution We present dσ/dpt predcitions comparing to experimental data from LHCb.

35. r pA as a Function of p t

42. Summary NLO NRQCD predictions can almost explain LHCb data for 1.5<y<2.0, 2.0<y<2.5, 2.5<y<3.0 and 1.5<y<4.0 at large p t. For large rapidity region, fixed order calculation is not good, further investigation is required to make definite conclusions. For large rapidity region, final state energy loss might play a role in the discrepency between theory and experiment.

43. Summary and Outlook

44. Summary At high temperature and density, QGP is expected to form. Quarkonium suppression is a signature of QGP formation. Not all the suppression is due to HNM effects. High-precision prediction of heavy quarkonium production in pA collisions is necessary.

45. Summary We calculate J/ψ production rate in pPb collisions at the LHC at NLO level within NRQCD framework. NLO NRQCD predictions can almost explain LHCb data at small rapidity and large transverse momentum. Suppression ratios are also studied.

46. Outlook Resummation is required for large rapidity region. More experimental data for high transverse momentum are expected. Small-x evolution provides an opportunity to the study of small p t region phenomenology. A small room is left for CNM effects other than PDF shadowing.