×

zbMATH — the first resource for mathematics

Soft gluon resummation of Drell-Yan rapidity distributions: theory and phenomenology. (English) Zbl 1208.81200
Summary: We examine critically the theoretical underpinnings and phenomenological implications of soft gluon (threshold) resummation of rapidity distributions at a hadron collider, taking Drell-Yan production at the Tevatron and the LHC as a reference test case. First, we show that in perturbative QCD soft gluon resummation is necessary whenever the partonic (rather the hadronic) center-of-mass energy is close enough to threshold, and we provide tools to assess when resummation is relevant for a given process. Then, we compare different prescriptions for handling the divergent nature of the series of resummed perturbative corrections, specifically the minimal and Borel prescriptions. We assess the intrinsic ambiguities of resummed results, both due to the asymptotic nature of their perturbative expansion, and to the treatment of subleading terms. Turning to phenomenology, we introduce a fast and accurate method for the implementation of resummation with the minimal and Borel prescriptions using an expansion on a basis of Chebyshev polynomials. We then present results for \(W\) and \(Z\) production as well as both high- and low-mass dilepton pairs at the LHC, and show that soft gluon resummation effects are generally comparable in size to NNLO corrections, but sometimes affected by substantial ambiguities.

MSC:
81V05 Strong interaction, including quantum chromodynamics
81V35 Nuclear physics
81U35 Inelastic and multichannel quantum scattering
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Anastasiou, C.; Dixon, L.J.; Melnikov, K.; Petriello, F., Phys. rev. D, 69, 094008, (2004)
[2] Catani, S.; Ferrera, G.; Grazzini, M., Jhep, 1005, 006, (2010)
[3] Grazzini, M.
[4] Webb, J.C., Phys. rev. D, 64, 052002, (2001)
[5] Appell, D.; Sterman, G.; Mackenzie, P.B., Nucl. phys. B, 309, 259, (1988)
[6] Bolzoni, P., Phys. lett. B, 643, 325, (2006)
[7] Becher, T.; Neubert, M.; Xu, G., Jhep, 0807, 030, (2008)
[8] Ball, R.D.; Del Debbio, L.; Forte, S.; Guffanti, A.; Latorre, J.I.; Rojo, J.; Ubiali, M., Nucl. phys. B, 838, 136, (2010)
[9] Grazzini, M., Pos, RADCOR2009, 047, (2010)
[10] Catani, S.; de Florian, D.; Grazzini, M.; Catani, S.; De Florian, D.; Grazzini, M.; Catani, S.; De Florian, D.; Grazzini, M.; Catani, S.; de Florian, D.; Grazzini, M.; Nason, P., Jhep, Jhep, Jhep, 0307, 028, (2003)
[11] Bauer, C.W.; Dunn, N.D.; Hornig, A.
[12] Catani, S.; Mangano, M.L.; Nason, P.; Trentadue, L., Nucl. phys. B, 478, 273, (1996)
[13] Forte, S.; Ridolfi, G.; Rojo, J.; Ubiali, M., Phys. lett. B, 635, 313, (2006)
[14] Abbate, R.; Forte, S.; Ridolfi, G., Phys. lett. B, 657, 55, (2007)
[15] Collins, P.D.B., Introduction to Regge theory, (1977), Cambridge University Press
[16] Abarbanel, H.D.I.; Goldberger, M.L.; Treiman, S.B., Phys. rev. lett., 22, 500, (1969)
[17] Nucl. phys. B, Nucl. phys. B, 816, 293, (2009), Erratum and ref. therein
[18] Ellis, R.K.; Stirling, W.J.; Webber, B.R., QCD and collider physics, (1996), Cambridge University Press
[19] Altarelli, G.; Ellis, R.K.; Martinelli, G.; Altarelli, G.; Ellis, R.K.; Martinelli, G.; Altarelli, G.; Ellis, R.K.; Martinelli, G., Nucl. phys. B, Nucl. phys. B, Nucl. phys. B, 157, 461, (1979), Erratum
[20] van Neerven, W.L.; Zijlstra, E.B.; van Neerven, W.L.; Zijlstra, E.B., Nucl. phys. B, Nucl. phys. B, 680, 513, (2004), Erratum
[21] Sterman, G.F., Nucl. phys. B, 281, 310, (1987)
[22] Catani, S.; Trentadue, L., Nucl. phys. B, 327, 323, (1989)
[23] Forte, S.; Ridolfi, G., Nucl. phys. B, 650, 229, (2003)
[24] E. Laenen, G.F. Sterman, Resummation for Drell-Yan differential distributions, in: Particles & Fields, vol. 92, published in DPF Conf. 1992, pp. 987-989.
[25] Mukherjee, A.; Vogelsang, W., Phys. rev. D, 73, 074005, (2006)
[26] Contopanagos, H.; Laenen, E.; Sterman, G.F., Nucl. phys. B, 484, 303, (1997)
[27] Catani, S., Nucl. phys. B (proc. suppl.), 54, 107, (1997)
[28] Manohar, A.V.; Idilbi, A.; Ji, X.d., Phys. rev. D, Phys. rev. D, 72, 054016, (2005)
[29] Becher, T.; Neubert, M., Phys. rev. lett., 97, 082001, (2006)
[30] Bourilkov, D.; Group, R.C.; Whalley, M.R.
[31] Furmanski, W.; Petronzio, R., Nucl. phys. B, 195, 237, (1982)
[32] Martin, A.D.; Stirling, W.J.; Thorne, R.S.; Watt, G., Eur. phys. J. C, 63, 189, (2009)
[33] Lai, H.L.; Guzzi, M.; Huston, J.; Li, Z.; Nadolsky, P.M.; Pumplin, J.; Yuan, C.P.
[34] Balossini, G., Jhep, 1001, 013, (2010)
[35] Catani, S.; Cieri, L.; Ferrera, G.; de Florian, D.; Grazzini, M., Phys. rev. lett., 103, 082001, (2009)
[37] J. phys. G, 37, 075021, (2010)
[38] Bethke, S., Eur. phys. J. C, 64, 689, (2009)
[39] Lai, H.L.; Huston, J.; Li, Z.; Nadolsky, P.; Pumplin, J.; Stump, D.; Yuan, C.P.
[41] Phys. rev. lett., 102, 181801, (2009)
[42] Moch, S.; Vermaseren, J.A.M.; Vogt, A., Nucl. phys. B, 726, 317, (2005)
[43] Moch, S.; Vogt, A., Phys. lett. B, 631, 48, (2005)
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.