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Sudakov resummation of multiparton QCD cross sections. (English) Zbl 1094.81559

Summary: We present the general expressions for the resummation, up to next-to-leading logarithmic accuracy, of Sudakov-type logarithms in processes with an arbitrary number of hard-scattering partons. These results document the formulae used by the authors in several previous phenomenological studies. The resummation formulae presented here, which are valid for phase-space factorizable observables, determine the resummation correction in a process-independent fashion. All process dependence is encoded in the colour and flavour structure of the leading order and virtual one-loop amplitudes, and in Sudakov weights associated to the cross section kinematics. We explicitly illustrate the application to the case of Drell-Yan and prompt-photon production.

MSC:

81V05 Strong interaction, including quantum chromodynamics

References:

[1] Collins, J. C.; Soper, D. E., Nucl. Phys. B, 213, 545 (1983), Erratum
[2] Catani, S.; Trentadue, L., Nucl. Phys. B, 353, 183 (1991)
[3] Catani, S.; Trentadue, L.; Turnock, G.; Webber, B. R., Nucl. Phys. B, 407, 3 (1993)
[4] Catani, S., (Altarelli, G.; Mangano, M. L., The Proceedings of the CERN Workshop on Standard Model Physics (and more) at the LHC (2000), CERN: CERN Geneva), 1
[5] Banfi, A.; Marchesini, G.; Smye, G.; Zanderighi, G., JHEP, 0108, 047 (2001)
[6] Dasgupta, M.; Salam, G. P., JHEP, 0208, 032 (2002)
[7] Frixione, S., Nucl. Phys. B (Proc. Suppl.), 117, 222 (2003), and references therein · Zbl 1097.81853
[8] Bethke, S., J. Phys. G, 26, R27 (2000)
[9] R. Bonciani, Univ. Florence Thesis, July 1997 (in Italian); R. Bonciani, Univ. Florence Thesis, July 1997 (in Italian)
[10] Catani, S.; Mangano, M. L.; Nason, P., JHEP, 9807, 024 (1998)
[11] Cacciari, M.; Frixione, S.; Mangano, M. L.; Nason, P.; Ridolfi, G., preprint CERN-TH-2003-054
[12] Laenen, E.; Oderda, G.; Sterman, G., Phys. Lett. B, 438, 173 (1998)
[13] Banfi, A.; Salam, G. P.; Zanderighi, G., JHEP, 0201, 018 (2002), preprint LPTHE-03-12
[14] Catani, S.; Turnock, G.; Webber, B. R.; Trentadue, L., Phys. Lett. B, 263, 491 (1991)
[15] Catani, S.; Webber, B. R., Phys. Lett. B, 427, 377 (1998)
[16] Catani, S.; de Florian, D.; Grazzini, M., JHEP, 0105, 025 (2001)
[17] Catani, S.; Webber, B. R.; Marchesini, G., Nucl. Phys. B, 349, 635 (1991)
[18] Contopanagos, H.; Laenen, E.; Sterman, G., Nucl. Phys. B, 484, 303 (1997)
[19] Catani, S.; Webber, B. R., JHEP, 9710, 005 (1997)
[20] Leibovich, A. K.; Low, I.; Rothstein, I. Z., Phys. Rev. D, 62, 014010 (2000)
[21] Dokshitzer, Yu. L.; Khoze, V. A.; Mueller, A. H.; Troyan, S. I., Basics of Perturbative QCD (1991), Editions Frontières: Editions Frontières Gif-sur-Yvette
[22] Catani, S.; Ciafaloni, M.; Marchesini, G., Nucl. Phys. B, 264, 588 (1986)
[23] Brown, N.; Stirling, W. J., Phys. Lett. B, 252, 657 (1990)
[24] Catani, S.; Mangano, M. L.; Nason, P.; Trentadue, L., Nucl. Phys. B, 478, 273 (1996)
[25] Dokshitzer, Yu. L.; Marchesini, G., JHEP, 0303, 040 (2003)
[26] Catani, S., summary report of the QCD/SM working group for the Workshop Physics at TeV Colliders, Les Houches, France, June 1999
[27] Catani, S.; Seymour, M. H., Nucl. Phys. B, 510, 503 (1997), Erratum
[28] Weinberg, S., The Quantum Theory of Fields. Vol. 1. Foundations (1995), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0959.81002
[29] Di’Lieto, C.; Gendron, S.; Halliday, I. G.; Sachrajda, C. T., Nucl. Phys. B, 183, 223 (1981)
[30] Catani, S.; Mangano, M. L.; Nason, P.; Oleari, C.; Vogelsang, W., JHEP, 9903, 025 (1999)
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