Heavy quark medium polarization at next-to-leading order

Journal of High Energy Physics

Volumn 2009, Issue 2, 2009, Pages

  Burnier, Y ^a   Laine, M ^a   Vepsalainen M ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Heavy quark physics; Lattice QCD; NLO computations; Thermal field theory

Indexed keywords

EID: 67649525647     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/02/008     Document Type: Article

References (57)

1. G. Källén and A. Sabry, Fourth order vacuum polarization 1955 Kong. Dan. Vid. Sel. Mat. Fys. Med. 29N17 1
2. J.S. Schwinger, Particles, sources and fields. Volume II Addison-Wesley, U.S.A. (1973), p. 407
3. R. Barbieri and E. Remiddi, Infra-red divergences and adiabatic switching. Fourth order vacuum polarization 1973 Nuovo Cim. A 13 99
4. D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Two loop two point functions with masses: asymptotic expansions and Taylor series, in any dimension 1993 Z. Physik C 60 287 [hep-ph/9304303]
5. 3) [0807.4173]
6. L.D. McLerran and T. Toimela, Photon and dilepton emission from the quark-gluon plasma: some general considerations 1985 Phys. Rev. D 31 545
7. H.A. Weldon, Reformulation of finite temperature dilepton production 1990 Phys. Rev. D 42 2384
8. C. Gale and J.I. Kapusta, Vector dominance model at finite temperature 1991 Nucl. Phys. B 357 65
9. T. Matsui and H. Satz, J/ψ suppression by quark-gluon plasma formation 1986 Phys. Lett. B 178 416
10. M. Laine, O. Philipsen, P. Romatschke and M. Tassler, Real-time static potential in hot QCD 2007 J. High Energy Phys. JHEP03(2007)054 [hep-ph/0611300]
11. M. Laine, A resummed perturbative estimate for the quarkonium spectral function in hot QCD 2007 J. High Energy Phys. JHEP05(2007)028 [0704.1720]
12. M. Laine, O. Philipsen and M. Tassler, Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations 2007 J. High Energy Phys. JHEP09(2007)066 [0707.2458]
13. Y. Burnier, M. Laine and M. Vepsäläinen, Heavy quarkonium in any channel in resummed hot QCD 2008 J. High Energy Phys. JHEP01(2008)043 [0711.1743]
14. A. Beraudo, J.P. Blaizot and C. Ratti, Real and imaginary-time Q correlators in a thermal medium, 2008 Nucl. Phys. A 806 312 [0712.4394]
15. M.A. Escobedo and J. Soto, Non-relativistic bound states at finite temperature (I): the hydrogen atom [0804.0691]
16. N. Brambilla, J. Ghiglieri, A. Vairo and P. Petreczky, Static quark-antiquark pairs at finite temperature 2008 Phys. Rev. D 78 014017 [0804.0993]
17. M. Laine, How to compute the thermal quarkonium spectral function from first principles? [0810.1112]
18. F. Dominguez and B. Wu, On dissociation of heavy mesons in a hot quark-gluon plasma [0811.1058]
19. R. Rapp, D. Blaschke and P. Crochet, Charmonium and bottomonium production in heavy-ion collisions [0807.2470]
20. A. Mócsy, Potential models for quarkonia [0811.0337]
21. O. Philipsen, Static potentials for quarkonia at finite temperatures [0810.4685]
22. R.C. Myers, A.O. Starinets and R.M. Thomson, Holographic spectral functions and diffusion constants for fundamental matter 2007 J. High Energy Phys. JHEP11(2007)091 [0706.0162]
23. A.D. Linde, Infrared problem in thermodynamics of the Yang-Mills gas 1980 Phys. Lett. B 96 289
24. D.J. Gross, R.D. Pisarski and L.G. Yaffe, QCD and instantons at finite temperature 1981 Rev. Mod. Phys. 53 43
25. F. Di Renzo, M. Laine, V. Miccio, Y. Schröder and C. Torrero, The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure 2006 J. High Energy Phys. JHEP07(2006)026 [hep-ph/0605042]
26. G. Cuniberti, E. De Micheli and G.A. Viano, Reconstructing the thermal Green functions at real times from those at imaginary times 2001 Comm. Math. Phys. 216 59 [cond-mat/0109175]
27. A. Jakovc, P. Petreczky, K. Petrov and A. Velytsky, Quarkonium correlators and spectral functions at zero and finite temperature 2007 Phys. Rev. D 75 014506 [hep-lat/0611017]
28. G. Aarts, C. Allton, M.B. Oktay, M. Peardon and J.-I. Skullerud, Charmonium at high temperature in two-flavor QCD 2007 Phys. Rev. D 76 094513 [0705.2198]
29. P. Petreczky, On temperature dependence of quarkonium correlators [0810.0258]
30. F. Karsch, E. Laermann, P. Petreczky and S. Stickan, Infinite temperature limit of meson spectral functions calculated on the lattice 2003 Phys. Rev. D 68 014504 [hep-lat/0303017]
31. G. Aarts and J.M. Martínez Resco, Continuum and lattice meson spectral functions at nonzero momentum and high temperature 2005 Nucl. Phys. B 726 93 [hep-lat/0507004]
32. A. Mócsy and P. Petreczky, Quarkonia correlators above deconfinement 2006 Phys. Rev. D 73 074007 [hep-ph/0512156]
33. UKQCD collaboration, G. Aarts and J. Foley, Meson spectral functions with chirally symmetric lattice fermions 2007 J. High Energy Phys. JHEP02(2007)062 [hep-lat/0612007]
34. R.V. Harlander and M. Steinhauser, rhad: a program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD 2003 Comput. Phys. Commun. 153 244 [hep-ph/0212294]
35. M. Le Bellac, Thermal field theory (Cambridge University Press, Cambridge) U.K. (2000)
36. J.I. Kapusta and C. Gale, Finite-temperature field theory: principles and applications (Cambridge University Press, Cambridge) U.K. (2006)
37. V.P. Silin, On the electromagnetic properties of a relativistic plasma 1960 Sov. Phys. JETP 11 1136 [1960 Zh. Eksp. Teor. Fiz. 38 1577 ]
38. V.V. Klimov, Collective excitations in a hot quark gluon plasma 1982 Sov. Phys. JETP 55 199 [1982 Zh. Eksp. Teor. Fiz. 82 336]
39. H.A. Weldon, Covariant calculations at finite temperature: the relativistic plasma 1982 Phys. Rev. D 26 1394
40. R.D. Pisarski, Scattering amplitudes in hot gauge theories 1989 Phys. Rev. Lett. 63 1129
41. J. Frenkel and J.C. Taylor, High temperature limit of thermal QCD 1990 Nucl. Phys. B 334 199
42. E. Braaten and R.D. Pisarski, Soft amplitudes in hot gauge theories: a general analysis 1990 Nucl. Phys. B 337 569
43. J.C. Taylor and S.M.H. Wong, The effective action of hard thermal loops in QCD 1990 Nucl. Phys. B 346 115
44. J.F. Donoghue, B.R. Holstein and R.W. Robinett, Quantum electrodynamics at finite temperature 1985 Ann. Phys. (NY) 164 233 [Erratum 1986 Ann. Phys. (NY) 172 483]
45. W.E. Caswell and G.P. Lepage, Effective lagrangians for bound state problems in QED, QCD and other field theories 1986 Phys. Lett. B 167 437
46. J.G. Körner and G. Thompson, The heavy mass limit in field theory and the heavy quark effective theory 1991 Phys. Lett. B 264 185
47. A. Pineda and J. Soto, Effective field theory for ultrasoft momenta in NRQCD and NRQED 1998 Nucl. Phys. (Proc. Suppl.) 64 428 [hep-ph/9707481]
48. N. Brambilla, A. Pineda, J. Soto and A. Vairo, Potential NRQCD: an effective theory for heavy quarkonium 2000 Nucl. Phys. B 566 275 [hep-ph/9907240]
49. M. Beneke, Y. Kiyo and A.A. Penin, Ultrasoft contribution to quarkonium production and annihilation 2007 Phys. Lett. B 653 53 [0706.2733]
50. - annihilation near the threshold 1998 Phys. Rev. Lett. 80 2531 [hep-ph/9712222]
51. M. Beneke, A. Signer and V.A. Smirnov, Two-loop correction to the leptonic decay of quarkonium 1998 Phys. Rev. Lett. 80 2535 [hep-ph/9712302]
52. M. Laine and Y. Schröder, Two-loop QCD gauge coupling at high temperatures 2005 J. High Energy Phys. JHEP03(2005)067 [hep-ph/0503061]
53. K. Kajantie, M. Laine, K. Rummukainen and M.E. Shaposhnikov, 3D SU(N)+ adjoint Higgs theory and finite-temperature QCD, 1997 Nucl. Phys. B 503 357 [hep-ph/9704416]
54. E. Braaten and M.H. Thoma, Energy loss of a heavy quark in the quark-gluon plasma 1991 Phys. Rev. D 44 2625
55. G.D. Moore and D. Teaney, How much do heavy quarks thermalize in a heavy ion collision? 2005 Phys. Rev. C 71 064904 [hep-ph/0412346]
56. P. Petreczky and D. Teaney, Heavy quark diffusion from the lattice 2006 Phys. Rev. D 73 014508 [hep-ph/0507318]
57. S. Caron-Huot and G.D. Moore, Heavy quark diffusion in QCD and = 4 SYM at next-to-leading order, 2008 J. High Energy Phys. JHEP02(2008)081 [0801.2173]