- Letter
- Open Access
Going beyond soft plus virtual
Phys. Rev. D 105, L091503 – Published 27 May, 2022
DOI: https://doi.org/10.1103/PhysRevD.105.L091503
Abstract
We present a formalism that sums up the soft-virtual (SV) and next-to-SV (NSV) diagonal contributions to inclusive colorless productions in hadron colliders to all orders in perturbative QCD. Using the factorization theorem and renormalization group invariance as well as employing the transcendental structure of perturbative results, we show the exponential behavior of soft-collinear function. This allows us to predict certain SV and NSV terms to all orders from lower order information. We also present an integral representation for the coefficient functions that is suitable for Mellin -space resummation.
Physics Subject Headings (PhySH)
See Also
Next to soft corrections to Drell-Yan and Higgs boson productions
Article Text
References (72)
- G. Brooijmans et al., in Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2018), arXiv:1803.10379.
- C. Anastasiou, C. Duhr, F. Dulat, F. Herzog, and B. Mistlberger, Phys. Rev. Lett. 114, 212001 (2015).
- B. Mistlberger, J. High Energy Phys. 05 (2018) 028.
- C. Duhr, F. Dulat, and B. Mistlberger, Phys. Rev. Lett. 125, 051804 (2020).
- C. Duhr, F. Dulat, and B. Mistlberger, Phys. Rev. Lett. 125, 172001 (2020).
- S. Catani, Phys. Lett. B 427, 161 (1998).
- T. Becher and M. Neubert, Phys. Rev. Lett. 102, 162001 (2009); 111, 199905(E) (2013).
- T. Becher and M. Neubert, J. High Energy Phys. 06 (2009) 081; 11 (2013) 024(E).
- E. Gardi and L. Magnea, J. High Energy Phys. 03 (2009) 079.
- A. Ajjath, P. Mukherjee, and V. Ravindran, J. High Energy Phys. 08 (2020) 156.
- A. A H, P. Banerjee, A. Chakraborty, P. K. Dhani, P. Mukherjee, N. Rana, and V. Ravindran, Phys. Rev. D 100, 114016 (2019).
- S. Moch and A. Vogt, Phys. Lett. B 631, 48 (2005).
- V. Ravindran, Nucl. Phys. B746, 58 (2006).
- V. Ravindran, Nucl. Phys. B752, 173 (2006).
- D. de Florian and J. Mazzitelli, J. High Energy Phys. 12 (2012) 088.
- T. Ahmed, N. Rana, and V. Ravindran, J. High Energy Phys. 10 (2014) 139.
- M. C. Kumar, M. K. Mandal, and V. Ravindran, J. High Energy Phys. 03 (2015) 037.
- T. Ahmed, M. Mahakhud, N. Rana, and V. Ravindran, Phys. Rev. Lett. 113, 112002 (2014).
- S. Catani, L. Cieri, D. de Florian, G. Ferrera, and M. Grazzini, Nucl. Phys. B888, 75 (2014).
- Y. Li, A. von Manteuffel, R. M. Schabinger, and H. X. Zhu, Phys. Rev. D 90, 053006 (2014).
- G. F. Sterman, Nucl. Phys. B281, 310 (1987).
- S. Catani and L. Trentadue, Nucl. Phys. B327, 323 (1989).
- M. Bonvini, A. S. Papanastasiou, and F. J. Tackmann, J. High Energy Phys. 10 (2016) 053.
- A. H. Ajjath, A. Chakraborty, G. Das, P. Mukherjee, and V. Ravindran, J. High Energy Phys. 11 (2019) 006.
- S. Moch, J. A. M. Vermaseren, and A. Vogt, Nucl. Phys. B726, 317 (2005).
- M. Bonvini, Proc. Sci., DIS2010 (2010) 100.
- M. Bonvini, Resummation of soft and hard gluon radiation in perturbative QCD, Ph.D. thesis, Genoa University, 2012.
- A. H. Ajjath, G. Das, M. C. Kumar, P. Mukherjee, V. Ravindran, and K. Samanta, J. High Energy Phys. 10 (2020) 153.
- 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. H. Ajjath, P. Mukherjee, and V. Ravindran, Phys. Rev. D 105, 094035 (2022).
- G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977).
- V. Sudakov, Sov. Phys. JETP 3, 65 (1956).
- A. Sen, Phys. Rev. D 24, 3281 (1981).
- J. C. Collins, Adv. Ser. Dir. High Energy Phys. 5, 573 (1989).
- L. Magnea and G. F. Sterman, Phys. Rev. D 42, 4222 (1990).
- L. Magnea, Nucl. Phys. B593, 269 (2001).
- G. F. Sterman and M. E. Tejeda-Yeomans, Phys. Lett. B 552, 48 (2003).
- S. Moch, J. Vermaseren, and A. Vogt, J. High Energy Phys. 08 (2005) 049.
- J. Vermaseren, S. Larin, and T. van Ritbergen, Phys. Lett. B 405, 327 (1997).
- K. Chetyrkin, J. H. Kuhn, and C. Sturm, Nucl. Phys. B744, 121 (2006).
- W. van Neerven, Nucl. Phys. B268, 453 (1986).
- R. V. Harlander, Phys. Lett. B 492, 74 (2000).
- V. Ravindran, J. Smith, and W. L. van Neerven, Nucl. Phys. B704, 332 (2005).
- S. Moch, J. A. M. Vermaseren, and A. Vogt, Phys. Lett. B 625, 245 (2005).
- T. Gehrmann, T. Huber, and D. Maitre, Phys. Lett. B 622, 295 (2005).
- P. A. Baikov, K. G. Chetyrkin, A. V. Smirnov, V. A. Smirnov, and M. Steinhauser, Phys. Rev. Lett. 102, 212002 (2009).
- T. Gehrmann, E. W. N. Glover, T. Huber, N. Ikizlerli, and C. Studerus, J. High Energy Phys. 06 (2010) 094.
- T. Gehrmann and D. Kara, J. High Energy Phys. 09 (2014) 174.
- A. von Manteuffel and R. M. Schabinger, Phys. Rev. D 95, 034030 (2017).
- J. M. Henn, A. V. Smirnov, V. A. Smirnov, and M. Steinhauser, J. High Energy Phys. 05 (2016) 066.
- J. M. Henn, T. Peraro, M. Stahlhofen, and P. Wasser, Phys. Rev. Lett. 122, 201602 (2019).
- A. von Manteuffel, E. Panzer, and R. M. Schabinger, Phys. Rev. Lett. 124, 162001 (2020).
- T. Gehrmann, E. Glover, T. Huber, N. Ikizlerli, and C. Studerus, J. High Energy Phys. 11 (2010) 102.
- C. Anastasiou, C. Duhr, F. Dulat, E. Furlan, T. Gehrmann, F. Herzog, and B. Mistlberger, J. High Energy Phys. 03 (2015) 091.
- J. Kodaira and L. Trentadue, Phys. Lett. 112B, 66 (1982).
- J. Kodaira and L. Trentadue, Phys. Lett. 123B, 335 (1983).
- A. Vogt, S. Moch, and J. A. M. Vermaseren, Nucl. Phys. B691, 129 (2004).
- S. Moch, J. A. M. Vermaseren, and A. Vogt, Nucl. Phys. B688, 101 (2004).
- G. Das, S. Moch, and A. Vogt, Phys. Lett. B 807, 135546 (2020).
- Y. L. Dokshitzer, G. Marchesini, and G. P. Salam, Phys. Lett. B 634, 504 (2006).