- Open Access
Conformal moments of the two-loop coefficient functions in DVCS
Phys. Rev. D 113, 074005 – Published 3 April, 2026
DOI: https://doi.org/10.1103/p5rk-497z
Abstract
We develop a new technique and calculate conformal (Gegenbauer) moments of the two-loop coefficient functions in deeply virtual Compton scattering. These results are necessary for the extraction of the generalized parton distributions from the experimental data to the next-to-next-to leading order accuracy within the Mellin-Barnes approach.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (49)
- D. Müller, D. Robaschik, B. Geyer, F. M. Dittes, and J. Hořejši, Fortschr. Phys. 42, 101 (1994).
- A. Accardi et al., Eur. Phys. J. A 60, 173 (2024).
- A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
- D. P. Anderle et al., Front. Phys. 16, 64701 (2021).
- X.-D. Ji, Phys. Rev. Lett. 78, 610 (1997).
- A. V. Radyushkin, Phys. Lett. B 380, 417 (1996).
- A. V. Radyushkin, Phys. Rev. D 56, 5524 (1997).
- X.-D. Ji and J. Osborne, Phys. Rev. D 58, 094018 (1998).
- J. C. Collins and A. Freund, Phys. Rev. D 59, 074009 (1999).
- V. M. Braun, A. N. Manashov, S. Moch, and J. Schoenleber, J. High Energy Phys. 09 (2020) 117; 02 (2022) 115(E).
- V. M. Braun, A. N. Manashov, S. Moch, and J. Schoenleber, Phys. Rev. D 104, 094007 (2021).
- J. Gao, T. Huber, Y. Ji, and Y.-M. Wang, Phys. Rev. Lett. 128, 062003 (2022).
- V. M. Braun, Y. Ji, and J. Schoenleber, Phys. Rev. Lett. 129, 172001 (2022).
- Y. Ji and J. Schoenleber, J. High Energy Phys. 01 (2024) 053.
- V. M. Braun, A. N. Manashov, S. Moch, and M. Strohmaier, J. High Energy Phys. 06 (2017) 037.
- Y. Ji, A. Manashov, and S.-O. Moch, Phys. Rev. D 108, 054009 (2023).
- A. Manashov, M. Kirch, and A. Schafer, Phys. Rev. Lett. 95, 012002 (2005).
- D. Mueller and A. Schafer, Nucl. Phys. B739, 1 (2006).
- M. Kirch, A. Manashov, and A. Schafer, Phys. Rev. D 72, 114006 (2005).
- K. Kumericki, D. Mueller, and K. Passek-Kumericki, Nucl. Phys. B794, 244 (2008).
- K. Kumerički and D. Mueller, Nucl. Phys. B841, 1 (2010).
- H.-C. Zhang and X. Ji, Nucl. Phys. B1010, 116762 (2025).
- K. Kumerički, Gepard: Tool for studying the 3D quark and gluon distributions in the nucleon, https://gepard.phy.hr.
- D. Müller, T. Lautenschlager, K. Passek-Kumericki, and A. Schaefer, Nucl. Phys. B884, 438 (2014).
- M. Čuić, G. Duplančić, K. Kumerički, and K. Passek-K., J. High Energy Phys. 12 (2023) 192; 02 (2024) 225(E).
- Y. Guo, X. Ji, and K. Shiells, J. High Energy Phys. 09 (2022) 215.
- Y. Guo et al., GUMP GPD Global Analysis, https://github.com/yuxunguo/GUMP-Global-GPDs (2022).
- Y. Guo, X. Ji, M. G. Santiago, J. Yang, and H.-C. Zhang, Phys. Rev. D 112, 054036 (2025).
- Y. Guo, F. P. Aslan, X. Ji, and M. G. Santiago, Phys. Rev. Lett. 135, 261903 (2025).
- K. A. Mamo and I. Zahed, Phys. Rev. Lett. 133, 241901 (2024).
- K. A. Mamo and I. Zahed, Phys. Rev. D 110, 114016 (2024).
- F. Hechenberger, K. A. Mamo, and I. Zahed, Phys. Rev. D 112, 074018 (2025).
- E. Panzer, Comput. Phys. Commun. 188, 148 (2015).
- C. Duhr and F. Dulat, J. High Energy Phys. 08 (2019) 135.
- A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
- D. Mueller, Phys. Lett. B 634, 227 (2006).
- K. Kumericki, D. Mueller, K. Passek-Kumericki, and A. Schafer, Phys. Lett. B 648, 186 (2007).
- X.-D. Ji and J. Osborne, Phys. Rev. D 57, R1337 (1998).
- L. Mankiewicz, G. Piller, E. Stein, M. Vanttinen, and T. Weigl, Phys. Lett. B 425, 186 (1998); 461, 423(E) (1999).
- A. V. Belitsky and D. Mueller, Phys. Lett. B 417, 129 (1998).
- P. Hoodbhoy and X.-D. Ji, Phys. Rev. D 58, 054006 (1998).
- A. V. Belitsky and D. Mueller, Phys. Lett. B 486, 369 (2000).
- E. Remiddi and J. A. M. Vermaseren, Int. J. Mod. Phys. A 15, 725 (2000).
- B. Melic, D. Mueller, and K. Passek-Kumericki, Phys. Rev. D 68, 014013 (2003).
- V. M. Braun, A. N. Manashov, and J. Rohrwild, Nucl. Phys. B826, 235 (2010).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/p5rk-497z for the Mathematica expressions.
- Y. L. Dokshitzer, G. Marchesini, and G. P. Salam, Phys. Lett. B 634, 504 (2006).
- Y. L. Dokshitzer and G. Marchesini, Phys. Lett. B 646, 189 (2007).
- M. Beccaria, V. Forini, T. Lukowski, and S. Zieme, J. High Energy Phys. 03 (2009) 129.