×

zbMATH — the first resource for mathematics

Resummation of non-global QCD observables. (English) Zbl 0969.81646
Summary: We discuss issues related to the resummation of non-global observables in QCD, those that are sensitive to radiation in only a part of phase space. Examples of such observables are certain single-hemisphere event shapes in e\(^+\)e\(^-\) and DIS. Compared to global observables (those sensitive to all emissions, e.g., the e\(^+\)e\(^-\) thrust) a new class of single-logarithmic terms arises. These have been neglected in recent calculations in the literature. For a whole set of single hemisphere e\(^+\)e\(^-\) and DIS event shapes, we analytically evaluate the first such term, at order \(\alpha{}_s^2\), and give numerical results for the resummation of these terms in the large-N\(_C\) limit.

MSC:
81V05 Strong interaction, including quantum chromodynamics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Catani, S.; Trentadue, L.; Turnock, G.; Webber, B.R.; Catani, S.; Turnock, G.; Webber, B.R.; Trentadue, L., Nucl. phys. B, Phys. lett. B, 263, 491, (1991)
[2] Catani, S.; Turnock, G.; Webber, B.R., Phys. lett. B, 295, 269, (1992)
[3] Catani, S.; Dokshitzer, Y.L.; Fiorani, F.; Webber, B.R.; Catani, S.; Dokshitzer, Y.L.; Webber, B.R.; Burby, S.J., Nucl. phys. B, Phys. lett. B, Phys. lett. B, 453, 54, (1999)
[4] Catani, S.; Webber, B.R.; Catani, S.; Webber, B.R., Phys. lett. B, Jhep, 9710, 005, (1997)
[5] Dokshitzer, Y.L.; Lucenti, A.; Marchesini, G.; Salam, G.P., Jhep, 9801, 011, (1998)
[6] Antonelli, V.; Dasgupta, M.; Salam, G.P., Jhep, 0002, 001, (2000)
[7] Burby, S.J.; Glover, E.W.N.
[8] Banfi, A.; Marchesini, G.; Dokshitzer, Y.L.; Zanderighi, G., Jhep, 0007, 002, (2000)
[9] Banfi, A.; Dokshitzer, Y.L.; Marchesini, G.; Zanderighi, G.; Banfi, A.; Dokshitzer, Y.L.; Marchesini, G.; Zanderighi, G.
[10] Catani, S.; Seymour, M.H.; Catani, S.; Seymour, M.H., Phys. lett. B, Nucl. phys. B, 485, 291, (1997)
[11] Catani, S.; Trentadue, L.; Catani, S.; Trentadue, L., Nucl. phys. B, Phys. lett. B, 217, 539, (1989)
[12] M. Dasgupta, G.P. Salam, in preparation
[13] Dokshitzer, Y.L.; Marchesini, G.; Oriani, G., Nucl. phys. B, 387, 675, (1992)
[14] Dokshitzer, Yu.L.; Khoze, V.A.; Mueller, A.H.; Troyan, S.I., Basics of perturbative QCD, (1991), Editions Frontières Gif-sur-Yvette
[15] Bassetto, A.; Ciafaloni, M.; Marchesini, G., Phys. rep., 100, 201, (1983)
[16] ’t Hooft, G., Nucl. phys. B, 72, 461, (1974)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.