- Physical Review Journals
All JournalsPhysics Magazine

Physical Review C

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Next-to-next-to leading-order hard-thermal-loop perturbation-theory predictions for the curvature of the QCD phase transition line

Najmul Haque1 and Michael Strickland2

  • 1School of Physical Sciences, National Institute of Science Education and Research, HBNI, Jatni 752050, India
  • 2Department of Physics, Kent State University, Kent, OH 44242, USA

PDF

Phys. Rev. C 103, L031901 – Published 15 March, 2021

DOI: https://doi.org/10.1103/PhysRevC.103.L031901

Abstract

We present predictions for the second- and fourth-order curvature coefficients of the QCD phase transition line using the NNLO HTLpt-resummed thermodynamic potential. We present three cases corresponding to (i) μs=μl=μB/3, (ii) μs=0, μl=μB/3, and (iii) S=0, Q/B=0.4, μl=μB/3. In all three cases, we find excellent agreement with continuum extrapolated lattice QCD results for κ2, given current statistical uncertainties. We also make HTLpt predictions for κ4 in all three cases, finding again excellent agreement with lattice extractions of this coefficient where available.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (60)

  1. P. Cea, L. Cosmai, and A. Papa, Phys. Rev. D 93, 014507 (2016).
  2. C. Bonati, M. D'Elia, M. Mariti, M. Mesiti, F. Negro, and F. Sanfilippo, Phys. Rev. D 92, 054503 (2015).
  3. C. Bonati, M. D'Elia, F. Negro, F. Sanfilippo, and K. Zambello, Phys. Rev. D 98, 054510 (2018).
  4. C. Bonati, M. D'Elia, M. Mariti, M. Mesiti, F. Negro, and F. Sanfilippo, Phys. Rev. D 90, 114025 (2014).
  5. S. Borsanyi, Z. Fodor, J. N. Guenther, R. Kara, S. D. Katz, P. Parotto, A. Pasztor, C. Ratti, and K. K. Szabó, Phys. Rev. Lett. 125, 052001 (2020).
  6. A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
  7. D. Toublan and J. B. Kogut, Phys. Lett. B 605, 129 (2005).
  8. G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabó, J. High Energy Phys. 04 (2011) 001.
  9. R. Bellwied, S. Borsanyi, Z. Fodor, J. Günther, S. D. Katz, C. Ratti, and K. K. Szabó, Phys. Lett. B 751, 559 (2015).
  10. M. Giordano, K. Kapas, S. D. Katz, D. Nogradi, and A. Pasztor, Phys. Rev. D 102, 034503 (2020).
  11. M. Giordano, K. Kapas, S. D. Katz, D. Nogradi, and A. Pasztor, J. High Energy Phys. 05 (2020) 088.
  12. M. Scherzer, D. Sexty, and I.-O. Stamatescu, Phys. Rev. D 102, 014515 (2020).
  13. F. Attanasio, B. Jäger, and F. P. Ziegler, Eur. Phys. J. A 56, 251 (2020).
  14. A. Pásztor, Z. Szép, and G. Markó, Phys. Rev. D 103, 034511 (2021).
  15. C. S. Fischer and J. Luecker, Phys. Lett. B 718, 1036 (2013).
  16. C. S. Fischer, J. Luecker, and C. A. Welzbacher, Phys. Rev. D 90, 034022 (2014).
  17. P. Isserstedt, M. Buballa, C. S. Fischer, and P. J. Gunkel, Phys. Rev. D 100, 074011 (2019).
  18. N. M. Bratovic, T. Hatsuda, and W. Weise, Phys. Lett. B 719, 131 (2013).
  19. P. Kovács, Z. Szép, and G. Wolf, Phys. Rev. D 93, 114014 (2016).
  20. W.-J. Fu, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 101, 054032 (2020).
  21. F. Gao and J. M. Pawlowski, arXiv:2010.13705.
  22. F. Gao and J. M. Pawlowski, Phys. Rev. D 102, 034027 (2020).
  23. A. Andronic, P. Braun-Munzinger, and J. Stachel, Nucl. Phys. A 772, 167 (2006).
  24. F. Becattini, M. Bleicher, T. Kollegger, T. Schuster, J. Steinheimer, and R. Stock, Phys. Rev. Lett. 111, 082302 (2013).
  25. P. Alba, W. Alberico, R. Bellwied, M. Bluhm, V. Mantovani Sarti, M. Nahrgang, and C. Ratti, Phys. Lett. B 738, 305 (2014).
  26. V. Vovchenko, V. V. Begun, and M. I. Gorenstein, Phys. Rev. C 93, 064906 (2016).
  27. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. C 96, 044904 (2017).
  28. M. Bluhm, M. Nahrgang, and J. M. Pawlowski, arXiv:2004.08608.
  29. K. Aamodt et al. (ALICE Collaboration), Phys. Rev. Lett. 105, 252302 (2010).
  30. K. Aamodt et al. (ALICE Collaboration), Phys. Lett. B 696, 30 (2011).
  31. S. Chatrchyan et al. (CMS Collaboration), Phys. Rev. C 84, 024906 (2011).
  32. K. Aamodt et al. (ALICE Collaboration), Phys. Rev. Lett. 106, 032301 (2011).
  33. K. Aamodt et al. (ALICE Collaboration), Phys. Rev. Lett. 105, 252301 (2010).
  34. K. Aamodt et al. (ALICE Collaboration), Phys. Rev. Lett. 107, 032301 (2011).
  35. K. Aamodt et al. (ALICE Collaboration), J. Instrumen. 3, S08002 (2008).
  36. B. Mohanty (STAR Collaboration), J. Phys. G: Nucl. Part. Phys. 38, 124023 (2011).
  37. F. Wilczek, Lect. Notes Phys. 814, 1 (2011).
  38. A. Sorin, V. Kekelidze, A. Kovalenko, R. Lednicky, I. Meshkov, and G. Trubnikov, Nucl. Phys. A 855, 510 (2011).
  39. N. Haque, A. Bandyopadhyay, J. O. Andersen, M. G. Mustafa, M. Strickland, and N. Su, J. High Energy Phys. 05 (2014) 027.
  40. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. Lett. 83, 2139 (1999).
  41. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. D 61, 074016 (2000).
  42. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. D 62, 045004 (2000).
  43. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. D 63, 105008 (2001).
  44. J. O. Andersen, E. Braaten, E. Petitgirard, and M. Strickland, Phys. Rev. D 66, 085016 (2002).
  45. J. O. Andersen and M. Strickland, Phys. Rev. D 64, 105012 (2001).
  46. J. O. Andersen, E. Petitgirard, and M. Strickland, Phys. Rev. D 70, 045001 (2004).
  47. J. O. Andersen and M. Strickland, Ann. Phys. (NY) 317, 281 (2005).
  48. J. O. Andersen, M. Strickland, and N. Su, Phys. Rev. D 80, 085015 (2009).
  49. J. O. Andersen, M. Strickland, and N. Su, Phys. Rev. Lett. 104, 122003 (2010).
  50. J. O. Andersen, M. Strickland, and N. Su, J. High Energy Phys. 08 (2010) 113.
  51. J. O. Andersen, L. E. Leganger, M. Strickland, and N. Su, Phys. Lett. B 696, 468 (2011).
  52. J. O. Andersen, L. E. Leganger, M. Strickland, and N. Su, J. High Energy Phys. 08 (2011) 053.
  53. J. O. Andersen, L. E. Leganger, M. Strickland, and N. Su, Phys. Rev. D 84, 087703 (2011).
  54. N. Haque, M. G. Mustafa, and M. Strickland, Phys. Rev. D 87, 105007 (2013).
  55. S. Mogliacci, J. O. Andersen, M. Strickland, N. Su, and A. Vuorinen, J. High Energy Phys. 12 (2013) 055.
  56. N. Haque, M. G. Mustafa, and M. Strickland, J. High Energy Phys. 07 (2013) 184.
  57. N. Haque, J. O. Andersen, M. G. Mustafa, M. Strickland, and N. Su, Phys. Rev. D 89, 061701(R) (2014).
  58. J. O. Andersen, N. Haque, M. G. Mustafa, and M. Strickland, Phys. Rev. D 93, 054045 (2016).
  59. Q. Du, M. Strickland, U. Tantary, and B.-W. Zhang, J. High Energy Phys. 09 (2020) 038.
  60. E. Braaten and R. D. Pisarski, Phys. Rev. D 45, R1827 (1992).

Outline

Information

Phys. Rev. C 103, L031901– Published 15 March, 2021
  • Received 25 November 2020
  • Accepted 22 February 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation