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A Monte Carlo study of in-medium quark and gluon jet colour scaling 28 th February 2019 COST Workshop Lund Joo Barata (IGFAE), Liliana Apolinrio , Guilherme Milhano (LIP-Lisbon) A Monte Carlo study of in-medium quark and gluon jet colour

  1. A Monte Carlo study of in-medium quark and gluon jet colour scaling 28 th February 2019 – COST Workshop Lund João Barata (IGFAE), Liliana Apolinário , Guilherme Milhano (LIP-Lisbon)

  2. A Monte Carlo study of in-medium quark and gluon jet colour scaling In pQCD, quarks and gluons going trough the QGP lose energy Several mechanisms: BDMPS-Z, GLV, AMY, colour decoherence , … 1

  3. A Monte Carlo study of in-medium quark and gluon jet colour scaling In pQCD, quarks and gluons going trough the QGP lose energy Several mechanisms: BDMPS-Z, GLV, AMY, colour decoherence , … However, most models predict that quarks and gluons just differ by a scale factor – the parton’s Casimir 1

  4. A Monte Carlo study of in-medium quark and gluon jet colour scaling In pQCD, quarks and gluons going trough the QGP lose energy Several mechanisms: BDMPS-Z, GLV, AMY, colour decoherence , … However, most models predict that quarks and gluons just differ by a scale factor – the parton’s Casimir 1

  5. A Monte Carlo study of in-medium quark and gluon jet colour scaling In pQCD, quarks and gluons going trough the QGP lose energy Several mechanisms: BDMPS-Z, GLV, AMY, colour decoherence , … However, most models predict that quarks and gluons just differ by a scale factor – the parton’s Casimir Casimir scaling 1

  6. A Monte Carlo study of in-medium quark and gluon jet colour scaling In pQCD, quarks and gluons going trough the QGP lose energy Several mechanisms: BDMPS-Z, GLV, AMY, colour decoherence , … However, most models predict that quarks and gluons just differ by a scale factor – the parton’s Casimir Casimir scaling 1

  7. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level 2

  8. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level We do not measure partons We measure jets! 2

  9. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level We do not measure partons Do contribute to observed charge We measure jets! Do contribute to observed charge Do not contribute to observed charge 2

  10. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level We do not measure partons Do contribute to observed charge We measure jets! Do contribute to Do contribute to jet energy observed charge Do not contribute Do not contribute to observed charge to jet energy 2

  11. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level Stolenfrom: Gras, et al., 1704.03878 2

  12. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling is largely universal to pQCD calculations (both in vacuum and in medium) at parton level Today But what I really mean … Stolenfrom: Gras, et al., 1704.03878 2

  13. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) Vacuum: Even in vacuum the transition from partons to jets is not trivial 3

  14. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) Vacuum: Even in vacuum the transition from partons to jets is not trivial However, nowadays, many jet observables can be computed dProbability ( ) = i 3

  15. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) Medium: Assuming decoupling between vacuum and medium emissions 4

  16. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) Medium: Assuming decoupling between vacuum and medium emissions Medium screens QCD divergences – everything gets more difficult Naively we expect the breaking of Casimir scaling for medium energy loss mechanisms 4

  17. A Monte Carlo study of in-medium quark and gluon jet colour scaling Casimir scaling Jet Physics (for today) Medium: Assuming decoupling between vacuum and medium emissions Medium screens QCD divergences – everything gets more difficult Naively we expect the breaking of Casimir scaling for medium energy loss mechanisms 4

  18. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO 5

  19. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + 5

  20. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + 5

  21. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + Recover: Dasgupta, Recover: Dasgupta, Dreyer, Salam, Soyez Magnea, Salam, 1411.52182 0712.3014 5

  22. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + KLN Recover: Dasgupta, Recover: Dasgupta, Dreyer, Salam, Soyez Magnea, Salam, 1411.52182 0712.3014 5

  23. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + KLN 5

  24. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + KLN 5

  25. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: + + KLN 5

  26. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Vacuum: To get Casimir scaling, one just computes quark to gluon ratio Keeping track of logarithms of R (i.e. for small R and rigid cone jet algorithm) 6

  27. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: Since the divergences are screened the calculation is already more difficult. In addition, kernels can be more complicated 7

  28. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: Since the divergences are screened the calculation is already more difficult. In addition, kernels can be more complicated We just aim for a very rough qualitative numerical estimate. We consider up to overall factors Wiedemann, hep-ph/0005129 7

  29. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: up to overall factors 8

  30. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: up to overall factors The first term is logarithmic in R, so it is the leading contribution 8

  31. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: The first term is logarithmic in R, so it is the leading contribution Ignoring subleading terms 8

  32. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: 9

  33. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: Assuming one can regularize the integral in q and setting the upper scale to be of order of k T 9

  34. A Monte Carlo study of in-medium quark and gluon jet colour scaling Jet Physics (for today) A simple qualitative calculation to estimate Casimir breaking effects Compute the transverse momentum imbalance at LO Medium: Assuming one can regularize the integral in q and setting the upper scale to be of order of k T 9

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