- Open Access
Open -Hadron Production at Hadron Colliders in QCD at Next-to-Next-to-Leading-Order and Next-to-Next-to-Leading-Logarithmic Accuracy
Phys. Rev. Lett. 135, 161903 – Published 15 October, 2025
DOI: https://doi.org/10.1103/b6pf-rj4h
Abstract
We report on a calculation of open heavy-flavor production at hadron colliders which extends to next-to-next-to-leading order (NNLO) accuracy the classic NLO-accurate formalism developed almost 30 years ago under the acronym FONLL. The approach retains the exact heavy-flavor mass dependence at low transverse momentum, , and resums collinear logarithms through next-to-next-to-leading log (NNLL) at high . Provided are predictions for hadrons as well as -decay products like and muons. The main features of the results are reduced scale dependence and moderate NNLO correction, consistent with perturbative convergence in a wide range of kinematic scales from few GeV up to asymptotically large values of . The new calculation significantly improves the agreement with data for hadrons and muons. We uncover an intriguing discrepancy in final states which may point to a lower value of the decay rate.
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References (56)
- B. Mele and P. Nason, Nucl. Phys. B361, 626 (1991); B921, 841(E) (2017).
- P. Nason, S. Dawson, and R. K. Ellis, Nucl. Phys. B327, 49 (1989); B335, 260(E) (1990).
- W. Beenakker, W. L. van Neerven, R. Meng, G. A. Schuler, and J. Smith, Nucl. Phys. B351, 507 (1991).
- F. Aversa, P. Chiappetta, M. Greco, and J. P. Guillet, Nucl. Phys. B327, 105 (1989).
- M. Cacciari, M. Greco, and P. Nason, J. High Energy Phys. 05 (1998) 007.
- M. Cacciari and P. Nason, Phys. Rev. Lett. 89, 122003 (2002).
- M. Cacciari, S. Frixione, M. L. Mangano, P. Nason, and G. Ridolfi, J. High Energy Phys. 07 (2004) 033.
- M. Cacciari, P. Nason, and R. Vogt, Phys. Rev. Lett. 95, 122001 (2005).
- M. Cacciari, S. Frixione, N. Houdeau, M. L. Mangano, P. Nason, and G. Ridolfi, J. High Energy Phys. 10 (2012) 137.
- M. Cacciari, M. L. Mangano, and P. Nason, Eur. Phys. J. C 75, 610 (2015).
- M. A. G. Aivazis, J. C. Collins, F. I. Olness, and W. K. Tung, Phys. Rev. D 50, 3102 (1994).
- J. C. Collins, Phys. Rev. D 58, 094002 (1998).
- B. A. Kniehl, G. Kramer, I. Schienbein, and H. Spiesberger, Phys. Rev. D 71, 014018 (2005).
- B. A. Kniehl, G. Kramer, I. Schienbein, and H. Spiesberger, Eur. Phys. J. C 41, 199 (2005).
- M. Guzzi, P. M. Nadolsky, H. L. Lai, and C. P. Yuan, Phys. Rev. D 86, 053005 (2012).
- A. Kusina, F. I. Olness, I. Schienbein, T. Jezo, K. Kovarik, T. Stavreva, and J. Y. Yu, Phys. Rev. D 88, 074032 (2013).
- I. Helenius and H. Paukkunen, J. High Energy Phys. 05 (2018) 196.
- G. Arnison et al. (UA1 Collaboration), Phys. Lett. 155B, 442 (1985).
- C. Albajar et al. (UA1 Collaboration), Phys. Lett. B 256, 121 (1991); 262, 497(E) (1991).
- C. Albajar et al. (UA1 Collaboration), Z. Phys. C 61, 41 (1994).
- F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 68, 3403 (1992).
- F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 71, 2396 (1993).
- F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 71, 500 (1993).
- F. Abe et al. (CDF Collaboration), Phys. Rev. D 50, 4252 (1994).
- F. Abe et al. (CDF Collaboration), Phys. Rev. D 55, 2546 (1997).
- B. Abbott et al. (D0 Collaboration), Phys. Lett. B 487, 264 (2000).
- T. Aaltonen et al. (CDF Collaboration), Phys. Rev. D 77, 072004 (2008).
- S. Catani, S. Devoto, M. Grazzini, S. Kallweit, and J. Mazzitelli, J. High Energy Phys. 03 (2021) 029.
- J. Mazzitelli, A. Ratti, M. Wiesemann, and G. Zanderighi, Phys. Lett. B 843, 137991 (2023).
- M. Czakon, D. Heymes, and A. Mitov, Phys. Rev. Lett. 116, 082003 (2016).
- M. Czakon, Phys. Lett. B 693, 259 (2010).
- M. Czakon, Nucl. Phys. B849, 250 (2011).
- M. Czakon and D. Heymes, Nucl. Phys. B890, 152 (2014).
- M. Czakon, A. van Hameren, A. Mitov, and R. Poncelet, J. High Energy Phys. 10 (2019) 262.
- L. Chen, M. Czakon, and R. Poncelet, J. High Energy Phys. 03 (2018) 085.
- F. Buccioni, J. N. Lang, J. M. Lindert, P. Maierhöfer, S. Pozzorini, H. Zhang, and M. F. Zoller, Eur. Phys. J. C 79, 866 (2019).
- M. Bury and A. van Hameren, Comput. Phys. Commun. 196, 592 (2015).
- M. Czakon, T. Generet, A. Mitov, and R. Poncelet, J. High Energy Phys. 03 (2023) 251.
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- D. J. Lange, Nucl. Instrum. Methods Phys. Res., Sect. A 462, 152 (2001).
- M. Czakon, T. Generet, A. Mitov, and R. Poncelet, J. High Energy Phys. 10 (2021) 216.
- A. Broggio, A. Ferroglia, B. D. Pecjak, and Z. Zhang, J. High Energy Phys. 12 (2014) 005.
- Z. Bern, A. De Freitas, and L. J. Dixon, J. High Energy Phys. 03 (2002) 018.
- Z. Bern, A. De Freitas, and L. J. Dixon, J. High Energy Phys. 06 (2003) 028; 04 (2014) 112(E).
- E. W. N. Glover and M. E. Tejeda-Yeomans, J. High Energy Phys. 06 (2003) 033.
- E. W. N. Glover, J. High Energy Phys. 04 (2004) 021.
- A. De Freitas and Z. Bern, J. High Energy Phys. 09 (2004) 039.
- K. Melnikov and A. Mitov, Phys. Rev. D 70, 034027 (2004).
- A. Mitov, Phys. Rev. D 71, 054021 (2005).
- V. Bertone, S. Carrazza, and J. Rojo, Comput. Phys. Commun. 185, 1647 (2014).
- R. D. Ball et al. (NNPDF Collaboration), Eur. Phys. J. C 77, 663 (2017).
- G. Aad et al. (ATLAS Collaboration), J. High Energy Phys. 10 (2013) 042.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/b6pf-rj4h for versions of Figs. 2, 3, and 5 that show all rapidity slices.
- G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 829, 137077 (2022).
- G. Aad et al. (ATLAS Collaboration), Eur. Phys. J. C 76, 283 (2016).
- http://www.dirac.ac.uk