×

zbMATH — the first resource for mathematics

Bound-state effects on kinematical distributions of top quarks at hadron colliders. (English) Zbl 1291.81398
Summary: First we present a theoretical framework to compute the fully differential cross sections for the top-quark productions and their subsequent decays at hadron colliders, incorporating the bound-state effects which are important in the \(t\bar{t}\) threshold region. We include the bound-state effects such that the cross sections are correct in the LO approximation both in the threshold and high-energy regions. Then, based on this framework we compute various kinematical distributions of top quarks as well as of their decay products at the LHC, by means of Monte-Carlo event-generation. These are compared with the corresponding predictions based on conventional perturbative QCD. In particular, we find a characteristic bound-state effect on the \(\left( bW^{+} \right) - \left( \bar{b}W^{-} \right)\) double-invariant-mass distribution, which is deformed to the lower invariant-mass side in a correlated manner.

MSC:
81V05 Strong interaction, including quantum chromodynamics
81U05 \(2\)-body potential quantum scattering theory
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
65C05 Monte Carlo methods
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Moch, S.; Uwer, P., Theoretical status and prospects for top-quark pair production at hadron colliders, Phys. Rev., D 78, 034003, (2008)
[2] Cacciari, M.; Frixione, S.; Mangano, ML; Nason, P.; Ridolfi, G., Updated predictions for the total production cross sections of top and of heavier quark pairs at the tevatron and at the LHC, JHEP, 09, 127, (2008)
[3] Kidonakis, N.; Vogt, R., The theoretical top quark cross section at the tevatron and the LHC, Phys. Rev., D 78, 074005, (2008)
[4] Bernreuther, W., Top quark physics at the LHC, J. Phys., G 35, 083001, (2008)
[5] Tevatron Electroweak Working Group, CDF and D0 collaborations, Combination of CDF and D0 Results on the Mass of the Top Quark, arXiv:0903.2503 [SPIRES].
[6] Particle Data Group collaboration; Amsler, C.; etal., Review of particle physics, Phys. Lett., B 667, 1, (2008)
[7] Nason, P.; Dawson, S.; Ellis, RK, The total cross-section for the production of heavy quarks in hadronic collisions, Nucl. Phys., B 303, 607, (1988)
[8] Beenakker, W.; Kuijf, H.; Neerven, WL; Smith, J., QCD corrections to heavy quark production in \( p\bar{p} \) collisions, Phys. Rev., D 40, 54, (1989)
[9] Catani, S.; Mangano, ML; Nason, P.; Trentadue, L., The top cross-section in hadronic collisions, Phys. Lett., B 378, 329, (1996)
[10] Kidonakis, N.; Sterman, GF, Resummation for QCD hard scattering, Nucl. Phys., B 505, 321, (1997)
[11] Bonciani, R.; Catani, S.; Mangano, ML; Nason, P., NLL resummation of the heavy-quark hadroproduction cross-section, Nucl. Phys., B 529, 424, (1998)
[12] Mangano, ML; Nason, P.; Ridolfi, G., Heavy quark correlations in hadron collisions at next-to-leading order, Nucl. Phys., B 373, 295, (1992)
[13] Frixione, S.; Mangano, ML; Nason, P.; Ridolfi, G., Top quark distributions in hadronic collisions, Phys. Lett., B 351, 555, (1995)
[14] Bernreuther, W.; Brandenburg, A.; Si, ZG; Uwer, P., Top quark pair production and decay at hadron colliders, Nucl. Phys., B 690, 81, (2004)
[15] Frederix, R.; Maltoni, F., Top pair invariant mass distribution: a window on new physics, JHEP, 01, 047, (2009)
[16] Melnikov, K.; Schulze, M., NLO QCD corrections to top quark pair production and decay at hadron colliders, JHEP, 08, 049, (2009)
[17] Mahlon, G.; Parke, SJ, Spin correlation effects in top quark pair production at the LHC, Phys. Rev., D 81, 074024, (2010)
[18] Bernreuther, W.; Si, Z-G, Distributions and correlations for top quark pair production and decay at the tevatron and LHC, Nucl. Phys., B 837, 90, (2010)
[19] Biswas, S.; Melnikov, K.; Schulze, M., Next-to-leading order QCD effects and the top quark mass measurements at the LHC, JHEP, 08, 048, (2010)
[20] Hagiwara, K.; Sumino, Y.; Yokoya, H., Bound-state effects on top quark production at hadron colliders, Phys. Lett., B 666, 71, (2008)
[21] Kiyo, Y.; Kuhn, JH; Moch, S.; Steinhauser, M.; Uwer, P., Top-quark pair production near threshold at LHC, Eur. Phys. J., C 60, 375, (2009)
[22] Fujii, K.; Matsui, T.; Sumino, Y., Physics at \(t\) anti-t threshold in \(e\)\^{+}\(e\)\^{−} collisions, Phys. Rev., D 50, 4341, (1994)
[23] Martinez, M.; Miquel, R., Multi-parameter fits to the t anti-t threshold observables at a future \(e\)\^{+}\(e\)\^{−} linear collider, Eur. Phys. J., C 27, 49, (2003)
[24] Ikematsu, K.; Fujii, K.; Hioki, Z.; Sumino, Y.; Takahashi, T., How well can we reconstruct the \( t\bar{t} \) system near its threshold at future \(e\)\^{+}\(e\)\^{−} linear colliders?, Eur. Phys. J., C 29, 1, (2003)
[25] Sumino, Y.; Fujii, K.; Hagiwara, K.; Murayama, H.; Ng, CK, Top quark pair production near threshold, Phys. Rev., D 47, 56, (1993)
[26] Jezabek, M.; Kuhn, JH; Teubner, T., Momentum distributions in \( t\bar{t} \) production and decay near threshold, Z. Phys., C 56, 653, (1992)
[27] Fadin, VS; Khoze, VA, Threshold behavior of heavy top production in \(e\)\^{+}\(e\)\^{−} collisions, JETP Lett., 46, 525, (1987)
[28] Fadin, VS; Khoze, VA, Production of a pair of heavy quarks in \(e\)\^{+}\(e\)\^{−} annihilation in the threshold region, Sov. J. Nucl. Phys., 48, 309, (1988)
[29] Hoang, AH; etal., Top-antitop pair production close to threshold: synopsis of recent NNLO results, Eur. Phys. J. direct, C 2, 1, (2000)
[30] Kauer, N., Top pair production beyond double pole approximation: \( pp,p\bar{p} → 6 \) fermions and 0, 1 or 2 additional partons, Phys. Rev., D 67, 054013, (2003)
[31] Beneke, M.; Jantzen, B.; Ruiz-Femenia, P., Electroweak non-resonant NLO corrections to \( {e^{+} }{e^{-} } → {W^{+} }{W^{-} }b\bar{b} \) in the \( t\bar{t} \) resonance region, Nucl. Phys., B 840, 186, (2010)
[32] Maltoni, F.; Stelzer, T., Madevent: automatic event generation with madgraph, JHEP, 02, 027, (2003)
[33] Alwall, J.; etal., Madgraph/madevent v4: the new web generation, JHEP, 09, 028, (2007)
[34] Frixione, S.; Webber, BR, Matching NLO QCD computations and parton shower simulations, JHEP, 06, 029, (2002)
[35] Frixione, S.; Nason, P.; Webber, BR, Matching NLO QCD and parton showers in heavy flavour production, JHEP, 08, 007, (2003)
[36] Frixione, S.; Nason, P.; Ridolfi, G., A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction, JHEP, 09, 126, (2007)
[37] V.B. Berestetskii, L.P. Pitaevskii and E.M. Lifshitz, Quantum Electrodynamics, second edition, Butterworth-Heinemann, Oxford U.K. (1982).
[38] Kniehl, BA; Penin, AA; Schröder, Y.; Smirnov, VA; Steinhauser, M., Two-loop static QCD potential for general colour state, Phys. Lett., B 607, 96, (2005)
[39] Denner, A.; Dittmaier, S.; Roth, M.; Wackeroth, D., Predictions for all processes \(e\)\^{+}\(e\)− → 4 fermions + gamma, Nucl. Phys., B 560, 33, (1999)
[40] Denner, A.; Dittmaier, S.; Roth, M.; Wieders, LH, Electroweak corrections to charged-current \(e\)\^{+}\(e\)\^{−} → \(4\) fermion processes: technical details and further results, Nucl. Phys., B 724, 247, (2005)
[41] Hoang, AH; Reisser, CJ, Electroweak absorptive parts in NRQCD matching conditions, Phys. Rev., D 71, 074022, (2005)
[42] Hoang, AH; Reisser, CJ; Ruiz-Femenia, P., Phase space matching and finite lifetime effects for top-pair production close to threshold, Phys. Rev., D 82, 014005, (2010)
[43] Luke, ME; Manohar, AV; Rothstein, IZ, Renormalization group scaling in nonrelativistic QCD, Phys. Rev., D 61, 074025, (2000)
[44] Hoang, AH; Stewart, IW, Ultrasoft renormalization in non-relativistic QCD, Phys. Rev., D 67, 114020, (2003)
[45] Beneke, M.; Chapovsky, AP; Signer, A.; Zanderighi, G., Effective theory approach to unstable particle production, Phys. Rev. Lett., 93, 011602, (2004)
[46] Beneke, M.; Chapovsky, AP; Signer, A.; Zanderighi, G., Effective theory calculation of resonant high-energy scattering, Nucl. Phys., B 686, 205, (2004)
[47] Peter, M.; Sumino, Y., Final-state interactions in \( {e^{+} }{e^{-} } → t\bar{t} → b{l^{+} }ν \bar{b}{W^{-} } \) near top quark threshold, Phys. Rev., D 57, 6912, (1998)
[48] Jezabek, M.; Teubner, T., Momentum distributions in \( t\bar{t} \) production and decay near threshold. 2. momentum dependent width, Z. Phys., C 59, 669, (1993)
[49] Modritsch, W.; Kummer, W., Relativistic and gauge independent off-shell corrections to the toponium decay width, Nucl. Phys., B 430, 3, (1994)
[50] Kummer, W.; Modritsch, W., Relativistic bound state equation for unstable fermions and the toponium width, Phys. Lett., B 349, 525, (1995)
[51] Sjöstrand, T.; Mrenna, S.; Skands, PZ, PYTHIA 6.4 physics and manual, JHEP, 05, 026, (2006)
[52] Corcella, G.; etal., HERWIG 6.5: an event generator for hadron emission reactions with interfering gluons (including supersymmetric processes), JHEP, 01, 010, (2001)
[53] Beneke, M.; Falgari, P.; Schwinn, C., Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension, Nucl. Phys., B 828, 69, (2010)
[54] Beneke, M.; Czakon, M.; Falgari, P.; Mitov, A.; Schwinn, C., Threshold expansion of the gg(qq) → QQ + X cross section at \(O\)(\(α\)_{\(s\)}\^{4}), Phys. Lett., B 690, 483, (2010)
[55] V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders, arXiv:1003.5827 [SPIRES].
[56] Pumplin, J.; etal., New generation of parton distributions with uncertainties from global QCD analysis, JHEP, 07, 012, (2002)
[57] Martin, AD; Stirling, WJ; Thorne, RS; Watt, G., Parton distributions for the LHC, Eur. Phys. J., C 63, 189, (2009)
[58] Stelzer, T.; Long, WF, Automatic generation of tree level helicity amplitudes, Comput. Phys. Commun., 81, 357, (1994)
[59] H. Murayama, I. Watanabe and K. Hagiwara, HELAS: HELicity amplitude subroutines for Feynman diagram evaluations, KEK report, Tsukuba Japan (1992), KEK-91-11.
[60] Kawabata, S., A new Monte Carlo event generator for high-energy physics, Comput. Phys. Commun., 41, 127, (1986)
[61] Frixione, S.; Laenen, E.; Motylinski, P.; Webber, BR, Angular correlations of lepton pairs from vector boson and top quark decays in Monte Carlo simulations, JHEP, 04, 081, (2007)
[62] Sumino, Y., Static QCD potential at \( r < Λ_{QCD}^{ - 1} \): perturbative expansion and operator-product expansion, Phys. Rev., D 76, 114009, (2007)
[63] Lurié, D.; MacFarlane, A.; Takahashi, Y., Normalization of Bethe-Salpeter wave functions, Phys. Rev., B 140, 1091, (1965)
[64] Artoisenet, P.; Maltoni, F.; Stelzer, T., Automatic generation of quarkonium amplitudes in NRQCD, JHEP, 02, 102, (2008)
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.