×

zbMATH — the first resource for mathematics

The dipole formalism for next-to-leading order QCD calculations with massive partons. (English) Zbl 0990.81140
Summary: The dipole subtraction method for calculating next-to-leading order corrections in QCD was originally only formulated for massless partons. In this paper we extend its definition to include massive partons, namely, quarks, squarks and gluinos. We pay particular attention to the quasi-collinear region, which gives rise to terms that are enhanced by logarithms of the parton masses, \(M\). By ensuring that our subtraction cross section matches the exact real cross section in all quasi-collinear regions we achieve uniform convergence both for hard scales \(Q\sim M\) and \(Q\gg M\). Moreover, taking the masses to zero, we exactly reproduce the previously-calculated massless results. We give all the analytical formulae necessary to construct a numerical program to evaluate the next-to-leading order QCD corrections to arbitrary observables in an arbitrary process.

MSC:
81V05 Strong interaction, including quantum chromodynamics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] G. Altarelli, M.L. Mangano (Eds.), Proceedings of the Workshop on “Standard model physics (and more) at the LHC”, CERN-2000-04, Geneva 2000
[2] Accomando, E.; Aguilar-Saavedra, J.A., TESLA technical design report, part III: physics at an e^{+}e− linear collider, Phys. rep., 299, 1, (1998)
[3] Nason, P.; Dawson, S.; Ellis, R.K.; Beenakker, W.; Kuijf, H.; van Neerven, W.L.; Smith, J., Nucl. phys. B, Phys. rev. D, 40, 54, (1989)
[4] Nason, P.; Dawson, S.; Ellis, R.K.; Nason, P.; Dawson, S.; Ellis, R.K.; Mangano, M.L.; Nason, P.; Ridolfi, G., Nucl. phys. B, Nucl. phys. B, Nucl. phys. B, 373, 295, (1992), Erratum
[5] Giele, W.T.; Glover, E.W., Phys. rev. D, 46, 1980, (1992)
[6] Giele, W.T.; Glover, E.W.; Kosower, D.A., Nucl. phys. B, 403, 633, (1993)
[7] Keller, S.; Laenen, E., Phys. rev. D, 59, 114004, (1999)
[8] Harris, B.W.; Owens, J.F., preprint ANL-HEP-PR-00-044
[9] Frixione, S.; Kunszt, Z.; Signer, A.; Frixione, S., Nucl. phys. B, Nucl. phys. B, 507, 295, (1997)
[10] Catani, S.; Seymour, M.H., Phys. lett. B, 378, 287, (1996)
[11] Catani, S.; Seymour, M.H.; Catani, S.; Seymour, M.H., Nucl. phys. B, Nucl. phys. B, 510, 291, (1997), Erratum
[12] Nagy, Z.; Trócsányi, Z., Nucl. phys. B, 486, 189, (1997)
[13] Fabricius, K.; Schmitt, I.; Kramer, G.; Schierholz, G.; Kramer, G.; Lampe, B., Z. phys. C, Fortsch. phys., 37, 161, (1989)
[14] Ellis, R.K.; Ross, D.A.; Terrano, A.E., Nucl. phys. B, 178, 421, (1981)
[15] Nagy, Z.; Trócsányi, Z.; Nagy, Z.; Trócsányi, Z.; Nagy, Z.; Trócsányi, Z.; Nagy, Z.; Trócsányi, Z., Phys. rev. lett., Phys. rev. D, Phys. rev. D, Phys. rev. D, 62, 099902, (1999), Erratum
[16] Weinzierl, S.; Kosower, D.A., Phys. rev. D, 60, 054028, (1999)
[17] Nagy, Z.; Trócsányi, Z., Phys. rev. lett., 87, 082001, (2001)
[18] Nagy, Z., preprint IPPP/01/48
[19] Campbell, J.M.; Ellis, R.K., Phys. rev. D, 60, 113006, (1999)
[20] Ellis, R.K.; Veseli, S.; Campbell, J.M.; Ellis, R.K., Phys. rev. D, Phys. rev. D, 62, 114012, (2000)
[21] Beenakker, W.; Klasen, M.; Krämer, M.; Plehn, T.; Spira, M.; Zerwas, P.M., Phys. rev. lett., 83, 3780, (1999)
[22] Maina, E.; Pittau, R.; Pizzio, M.; Maina, E.; Pittau, R.; Pizzio, M., Phys. lett. B, Phys. lett. B, 429, 354, (1998)
[23] Catani, S.; Seymour, M.H., Jhep, 9907, 023, (1999)
[24] Krämer, M., Phys. rev. D, 60, 111503, (1999)
[25] Dittmaier, S., Nucl. phys. B, 565, 69, (2000)
[26] Roth, M., PhD thesis, ETH Zürich No. 13363 (1999)
[27] Denner, A.; Dittmaier, S.; Roth, M.; Wackeroth, D., Nucl. phys. B, 587, 67, (2000)
[28] Dittmaier, S.; Krämer, M., Phys. Rev. D, in press
[29] Dittmaier, S.; Krämer, M.; Liao, Y.; Spira, M.; Zerwas, P.M., Phys. lett. B, 478, 247, (2000)
[30] Phaf, L.; Weinzierl, S., Jhep, 0104, 006, (2001)
[31] Catani, S.; Dittmaier, S.; Trócsányi, Z., Phys. lett. B, 500, 149, (2001)
[32] Beenakker, W.; Dittmaier, S.; Krämer, M.; Plümper, B.; Spira, M.; Zerwas, P.M., Phys. rev. lett., 87, 201805, (2001)
[33] Catani, S.; Seymour, M.H., Acta phys. polon. B, 28, 863, (1997)
[34] Rodrigo, G.; Santamaria, A.; Bilenky, M.; Rodrigo, G.; Bilenky, M.; Santamaria, A.; Bernreuther, W.; Brandenburg, A.; Uwer, P.; Nason, P.; Oleari, C., Phys. rev. lett., Nucl. phys. B, Phys. rev. lett., Nucl. phys. B, 521, 237, (1998)
[35] Bassetto, A.; Ciafaloni, M.; Marchesini, G.; Dokshitzer, Yu.L.; Khoze, V.A.; Mueller, A.H.; Troian, S.I., Basics of perturbative QCD, Phys. rep., 100, 201, (1991), Editions Frontières Gif-sur-Yvette, See, for instance
[36] Altarelli, G.; Parisi, G., Nucl. phys. B, 126, 298, (1977)
[37] Kunszt, Z.; Signer, A.; Trócsányi, Z., Nucl. phys. B, 420, 550, (1994)
[38] Collins, J.C.; Soper, D.E.; Sterman, G., (), 1, and references therein
[39] Bloch, F.; Nordsieck, A., Phys. rev., 52, 54, (1937)
[40] Doria, R.; Frenkel, J.; Taylor, J.C.; Di’Lieto, C.; Gendron, S.; Halliday, I.G.; Sachrajda, C.T.; Catani, S.; Ciafaloni, M.; Marchesini, G.; Catani, S., Nucl. phys. B, Nucl. phys. B, Nucl. phys. B, Z. phys. C, 37, 357, (1988)
[41] Mele, B.; Nason, P.; Cacciari, M.; Greco, M., Nucl. phys. B, Nucl. phys. B, 421, 530, (1994)
[42] Demina, R.
[43] Collins, J.; Wilczek, F.; Zee, A.; Bernreuther, W.; Wetzel, W.; Bernreuther, W.; Wetzel, W., Phys. rev. D, Nucl. phys. B, Nucl. phys. B, 513, 758, (1982), Erratum
[44] Kunszt, Z.; Signer, A.; Trócsányi, Z., Nucl. phys. B, 411, 397, (1994)
[45] Catani, S.; Seymour, M.H.; Trócsányi, Z., Phys. rev. D, 55, 6819, (1997)
[46] Baier, V.N.; Fadin, V.S.; Khoze, V.A., Nucl. phys. B, 65, 381, (1973)
[47] Kodaira, J.; Trentadue, L.; Catani, S.; Trentadue, L.; Catani, S.; D’Emilio, E.; Trentadue, L.; Catani, S.; Trentadue, L.; Turnock, G.; Webber, B.R.; Catani, S.; Webber, B.R.; Marchesini, G., Phys. lett. B, Nucl. phys. B, Phys. lett. B, Nucl. phys. B, Nucl. phys. B, 349, 635, (1991)
[48] Beenakker, W.; Höpker, R.; Spira, M.; Zerwas, P.M., Nucl. phys. B, 492, 51, (1997)
[49] Beenakker, W.; Krämer, M.; Plehn, T.; Spira, M.; Zerwas, P.M., Nucl. phys. B, 515, 3, (1998)
[50] Berger, E.L.; Klasen, M.; Tait, T.M., Phys. rev. D, 62, 095014, (2000)
[51] Krämer, M.; Plehn, T.; Spira, M.; Zerwas, P.M., Phys. rev. lett., 79, 341, (1997)
[52] Martin, S.P.; Vaughn, M.T., Phys. lett. B, 318, 331, (1993)
[53] Nilles, H.P., Phys. rev. lett., 45, 319, (1980)
[54] Jersák, J.; Laermann, E.; Zerwas, P.M.; Jersák, J.; Laermann, E.; Zerwas, P.M., Phys. rev. D, Phys. rev. D, 36, 310, (1982), Erratum
[55] Kniehl, B.A.; Kühn, J.H., Nucl. phys. B, 329, 547, (1990)
[56] Eynck, T.O.; Laenen, E.; Phaf, L.; Weinzierl, S., preprint NIKHEF 2001-013
[57] Ballestrero, A.; Maina, E.; Moretti, S., Nucl. phys. B, 415, 265, (1994)
[58] Seymour, M.H.; Miller, D.J.; Seymour, M.H., Nucl. phys. B, Phys. lett. B, 435, 213, (1998)
[59] Brandenburg, A.; Uwer, P., Nucl. phys. B, 515, 279, (1998)
[60] Harris, B.W.; Smith, J., Phys. rev. D, 57, 2806, (1998)
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.