1. Jet Propagation & Mach Cone Evolution in (3+1)d Ideal Hydrodynamics Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri 05 / 02 / 08 Yale Columbia Day, Yale University

2. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Outline I.Motivation: Jets in heavy-ion collisions II.Jets in (3+1)d ideal hydrodynamics Different energy-momentum deposition scenarios  Particle Correlation Pattern III.Conclusions, Outlook & Open Questions

3. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Jets & Medium Response Peaks reflect interaction of jet with medium Re-appearance of the away-side for low and intermediate p T assoc PHENIX arXiv:0705.3238 [nucl-ex] Au+Au / p+p = 200 GeV STAR, Nucl. Phys. A774, 129 (2006) 4 < p T trigger < 6 GeV/c 0.15 < p T assoc < 4 eV/c Jet suppression: signal for QGP STAR PRL 91 (2003) 072304 4 < p T trigger < 6 GeV/c p T assoc > 2 GeV/c

4. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University  Solve numerically (3+1)d ideal hydrodynamics:  Source term given by jet energy loss  Different models describing jet energy loss R. Baier et al., Nucl. Phys. B438, 291 (1997) M. Gyulassy et al., Nucl. Phys. B571, 197 (2000) J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006), arXiv: 0705.1352 [hep-ph] H. Liu et al., PRL 97, 182301 (2006) A. Majumder et al., PRL 99, 192301 (2007) T. Renk et al., Phys. Rev. C75, 054910 (2007) G.-Y. Qin et al., Phys. Rev. C76, 064907 (2007) R. Neufeld et al., arXiv: 0802.2254 [hep-ph] Jets & Deposition Scenarios

5. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University We use: Written non-covariantly Different deposition scenarios Deposition Scenarios Hydro

6. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Energy-momentum deposition for Bag model EoS for QGP  Neglect near-side jet  Study jet evolution in a homogeneous, non– expanding background  Isochronous freeze-out at Jets in (3+1)d Ideal Hydro

7. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Peak in jet direction Are we done? Source unknown Distribution function unknown On-Shell Deposition I

8. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Diffusion wake causes peak in forward direction J. Casalderrey-Solana et al. J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) On-Shell Deposition II

9. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University On-shellness: Energy-Momentum Relation Heisenberg’s uncertainty relation: Radiative energy loss smalllarge

10. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Off-Shell Deposition I

11. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Mach cone–like pattern for Off-Shell Deposition II Transverse momentum loss

12. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Cone–like structure Pure Energy Loss I

13. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Need high – p T cuts Otherwise thermal smearing washes out signal due to high background temperature Pure Energy Loss II

14. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University More pronounced: –higher or p T –consistent with J. C.-S. et al. Pure Energy Deposition –Mach cone pattern J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) Pure Energy Loss III

15. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Mach cone correlation pattern -appears only if otherwise: Diffusion wake kills the Mach cone – like pattern -is not visible for cuts similar to experiment if Conclusions

16. 05 / 02 / 08 Barbara Betz Yale Columbia Day, Yale University Open Questions & further investigations: energy – momentum deposition scenario – Transverse momentum loss – Spatial dependence – Interaction of jet with medium expanding medium – Radial flow – Elliptic flow Effect of disentangling? Neglecting near-side?