- Letter
- Open Access
Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond
Phys. Rev. D 103, L111502 – Published 8 June, 2021
DOI: https://doi.org/10.1103/PhysRevD.103.L111502
Abstract
We present a formalism that resums both soft-virtual (SV) and next-to-SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. Using state-of-the-art results, we determine the complete NSV contributions to third order in the strong coupling constant for the rapidity distributions for Drell-Yan and for Higgs boson in gluon fusion as well as bottom quark annihilation. Using our all-order -space result, we show how the NSV contributions can be resummed in two-dimensional Mellin space.
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References (56)
- S. Drell and T.-M. Yan, Phys. Rev. Lett. 25, 316 (1970); 25, 902(E) (1970).
- T. Affolder et al. (CDF Collaboration), Phys. Rev. D 63, 011101 (2000).
- F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 81, 5754 (1998).
- V. Khachatryan et al. (CMS Collaboration), Eur. Phys. J. C 75, 147 (2015).
- J. Gao, M. Guzzi, J. Huston, H.-L. Lai, Z. Li, P. Nadolsky, J. Pumplin, D. Stump, and C.-P. Yuan, Phys. Rev. D 89, 033009 (2014).
- L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne, Eur. Phys. J. C 75, 204 (2015).
- R. D. Ball et al. (NNPDF Collaboration), J. High Energy Phys. 04 (2015) 040.
- J. Butterworth et al., J. Phys. G 43, 023001 (2016).
- S. Alekhin, J. Blumlein, S. Moch, and R. Placakyte, Phys. Rev. D 96, 014011 (2017).
- N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Lett. B 429, 263 (1998).
- L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
- G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 716, 1 (2012).
- S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 716, 30 (2012).
- C. Anastasiou, C. Duhr, F. Dulat, F. Herzog, and B. Mistlberger, Phys. Rev. Lett. 114, 212001 (2015).
- C. Duhr, F. Dulat, and B. Mistlberger, Phys. Rev. Lett. 125, 172001 (2020).
- T. Ahmed, M. Mahakhud, N. Rana, and V. Ravindran, Phys. Rev. Lett. 113, 112002 (2014).
- Y. Li, A. von Manteuffel, R. M. Schabinger, and H. X. Zhu, Phys. Rev. D 90, 053006 (2014).
- S. Catani, L. Cieri, D. de Florian, G. Ferrera, and M. Grazzini, Nucl. Phys. B888, 75 (2014).
- C. Duhr, F. Dulat, and B. Mistlberger, Phys. Rev. Lett. 125, 051804 (2020).
- T. Ahmed, M. K. Mandal, N. Rana, and V. Ravindran, J. High Energy Phys. 02 (2015) 131.
- G. F. Sterman, Nucl. Phys. B281, 310 (1987).
- S. Catani and L. Trentadue, Nucl. Phys. B327, 323 (1989).
- V. Ravindran, J. Smith, and W. L. van Neerven, Nucl. Phys. B767, 100 (2007).
- V. Ravindran and J. Smith, Phys. Rev. D 76, 114004 (2007).
- T. Ahmed, M. K. Mandal, N. Rana, and V. Ravindran, Phys. Rev. Lett. 113, 212003 (2014).
- P. Banerjee, G. Das, P. K. Dhani, and V. Ravindran, Phys. Rev. D 97, 054024 (2018).
- P. Banerjee, G. Das, P. K. Dhani, and V. Ravindran, Phys. Rev. D 98, 054018 (2018).
- E. Laenen and G. F. Sterman, Resummation for Drell-Yan differential distributions, in 7th Meeting of the Division of Particles Fields of the APS (DPF 92) (NOTE: Dates changed from Oct 13–17), Batavia, IL (1992), https://inspirehep.net/literature/341157.
- G. F. Sterman and W. Vogelsang, J. High Energy Phys. 02 (2001) 016.
- A. Mukherjee and W. Vogelsang, Phys. Rev. D 73, 074005 (2006).
- P. Bolzoni, Phys. Lett. B 643, 325 (2006).
- T. Becher and M. Neubert, Phys. Rev. Lett. 97, 082001 (2006).
- T. Becher, M. Neubert, and G. Xu, J. High Energy Phys. 07 (2008) 030.
- M. Bonvini, S. Forte, G. Ridolfi, and L. Rottoli, J. High Energy Phys. 01 (2015) 046.
- M. A. Ebert, J. K. L. Michel, and F. J. Tackmann, J. High Energy Phys. 05 (2017) 088.
- M. Cacciari and S. Catani, Nucl. Phys. B617, 253 (2001).
- E. Laenen, L. Magnea, and G. Stavenga, Phys. Lett. B 669, 173 (2008).
- E. Laenen, L. Magnea, G. Stavenga, and C. D. White, J. High Energy Phys. 01 (2011) 141.
- D. Bonocore, E. Laenen, L. Magnea, L. Vernazza, and C. D. White, Phys. Lett. B 742, 375 (2015).
- D. Bonocore, E. Laenen, L. Magnea, S. Melville, L. Vernazza, and C. White, J. High Energy Phys. 06 (2015) 008.
- D. Bonocore, E. Laenen, L. Magnea, L. Vernazza, and C. White, J. High Energy Phys. 12 (2016) 121.
- V. Del Duca, E. Laenen, L. Magnea, L. Vernazza, and C. White, J. High Energy Phys. 11 (2017) 057.
- N. Bahjat-Abbas, D. Bonocore, J. Sinninghe Damsté, E. Laenen, L. Magnea, L. Vernazza, and C. White, J. High Energy Phys. 11 (2019) 002.
- G. Soar, S. Moch, J. Vermaseren, and A. Vogt, Nucl. Phys. B832, 152 (2010).
- S. Moch and A. Vogt, J. High Energy Phys. 11 (2009) 099.
- D. de Florian, J. Mazzitelli, S. Moch, and A. Vogt, J. High Energy Phys. 10 (2014) 176.
- M. Beneke, A. Broggio, M. Garny, S. Jaskiewicz, R. Szafron, L. Vernazza, and J. Wang, J. High Energy Phys. 03 (2019) 043.
- M. Beneke, M. Garny, S. Jaskiewicz, R. Szafron, L. Vernazza, and J. Wang, J. High Energy Phys. 01 (2020) 094.
- M. Beneke, A. Broggio, S. Jaskiewicz, and L. Vernazza, J. High Energy Phys. 07 (2020) 078.
- A. Ajjath, P. Mukherjee, and V. Ravindran, arXiv:2006.06726.
- A. Ajjath, P. Mukherjee, V. Ravindran, A. Sankar, and S. Tiwari, J. High Energy Phys. 04 (2021) 131.
- F. Dulat, B. Mistlberger, and A. Pelloni, Phys. Rev. D 99, 034004 (2019).
- P. Banerjee, P. K. Dhani, M. C. Kumar, P. Mathews, and V. Ravindran, Phys. Rev. D 97, 094028 (2018).
- A. A. H. T. Ahmed, P. Mukherjee, V. Ravindran, and A. Sankar, arXiv:2010.02980.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.103.L111502 for all of our results in Mathematica format.
- G. Lustermans, J. K. L. Michel, and F. J. Tackmann, arXiv:1908.00985.