Frederix, R.; Gehrmann, T.; Greiner, N. Integrated dipoles with MadDipole in the MadGraph framework. (English) Zbl 1288.81145 J. High Energy Phys. 2010, No. 6, Paper No. 086, 23 p. (2010). Summary: Heading towards a full automation of next-to-leading order (NLO) QCD corrections, one important ingredient is the analytical integration over the one-particle phase space of the unresolved particle that is necessary when adding the subtraction terms to the virtual corrections. We present the implementation of these integrated dipoles in the MadGraph framework. The result is a package that allows an automated calculation for the NLO real emission parts of an arbitrary process. Cited in 9 Documents MSC: 81V05 Strong interaction, including quantum chromodynamics 81T15 Perturbative methods of renormalization applied to problems in quantum field theory 81T80 Simulation and numerical modelling (quantum field theory) (MSC2010) 81-08 Computational methods for problems pertaining to quantum theory Keywords:NLO computations; QCD; hadronic colliders Software:CutTools; CalcHEP; MadEvent; WHIZARD; Tevjet; MadDipole; AutoDipole; PHEGAS; POWHEG BOX; ALPGEN; BlackHat; Golem95; SHERPA; CompHep; MadFKS; MadGraph; MC@NLO PDFBibTeX XMLCite \textit{R. Frederix} et al., J. High Energy Phys. 2010, No. 6, Paper No. 086, 23 p. (2010; Zbl 1288.81145) Full Text: DOI arXiv References: [1] T. Stelzer and W.F. Long, Automatic generation of tree level helicity amplitudes, Comput. Phys. Commun.81 (1994) 357 [hep-ph/9401258] [SPIRES]. [2] F. Maltoni and T. Stelzer, MadEvent: automatic event generation with MadGraph, JHEP02 (2003) 027 [hep-ph/0208156] [SPIRES]. [3] J. Alwall et al., MadGraph/MadEvent v4: the new web generation, JHEP09 (2007) 028 [arXiv:0706.2334] [SPIRES]. [4] CompHEP collaboration, E. Boos et al., CompHEP 4.4: automatic computations from Lagrangians to events, Nucl. Instrum. Meth.A 534 (2004) 250 [hep-ph/0403113] [SPIRES]. [5] A. Pukhov, CalcHEP 2.3: MSSM, structure functions, event generation, batchs and generation of matrix elements for other packages, hep-ph/0412191 [SPIRES]. [6] T. Gleisberg et al., SHERPA 1.α, a proof-of-concept version, JHEP02 (2004) 056 [hep-ph/0311263] [SPIRES]. [7] T. Gleisberg et al., Event generation with SHERPA 1.1, JHEP02 (2009) 007 [arXiv:0811.4622] [SPIRES]. [8] W. Kilian, T. Ohl and J. Reuter, WHIZARD: simulating multi-particle processes at LHC and ILC, arXiv:0708.4233 [SPIRES]. [9] M.L. Mangano, M. Moretti, F. Piccinini, R. Pittau and A.D. Polosa, ALPGEN, a generator for hard multiparton processes in hadronic collisions, JHEP07 (2003) 001 [hep-ph/0206293] [SPIRES]. [10] A. Cafarella, C.G. Papadopoulos and M. Worek, Helac-Phegas: a generator for all parton level processes, Comput. Phys. Commun.180 (2009) 1941 [arXiv:0710.2427] [SPIRES]. [11] J.M. Campbell and R.K. Ellis, An update on vector boson pair production at hadron colliders, Phys. Rev.D 60 (1999) 113006 [hep-ph/9905386] [SPIRES]. [12] J.M. Campbell and R.K. Ellis, Next-to-leading order corrections to W+ 2 jet and Z+ 2 jet production at hadron colliders, Phys. Rev.D 65 (2002) 113007 [hep-ph/0202176] [SPIRES]. [13] Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision, Phys. Rev.D 68 (2003) 094002 [hep-ph/0307268] [SPIRES]. [14] S. Frixione and B.R. Webber, Matching NLO QCD computations and parton shower simulations, JHEP06 (2002) 029 [hep-ph/0204244] [SPIRES]. [15] S. Frixione, P. Nason and B.R. Webber, Matching NLO QCD and parton showers in heavy flavour production, JHEP08 (2003) 007 [hep-ph/0305252] [SPIRES]. [16] S. Frixione, E. Laenen, P. Motylinski and B.R. Webber, Single-top production in MC@NLO, JHEP03 (2006) 092 [hep-ph/0512250] [SPIRES]. [17] P. Torrielli and S. Frixione, Matching NLO QCD computations with PYTHIA using MC@NLO, JHEP04 (2010) 110 [1002.4293] [SPIRES]. · Zbl 1272.81198 [18] P. Nason, A new method for combining NLO QCD with shower Monte Carlo algorithms, JHEP11 (2004) 040 [hep-ph/0409146] [SPIRES]. [19] P. Nason and G. Ridolfi, A positive-weight next-to-leading-order Monte Carlo for Z pair hadroproduction, JHEP08 (2006) 077 [hep-ph/0606275] [SPIRES]. [20] O. Latunde-Dada, S. Gieseke and B. Webber, A positive-weight next-to-leading-order Monte Carlo for e+e−annihilation to hadrons, JHEP02 (2007) 051 [hep-ph/0612281] [SPIRES]. [21] S. Frixione, P. Nason and G. Ridolfi, A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction, JHEP09 (2007) 126 [arXiv:0707.3088] [SPIRES]. [22] S. Alioli, P. Nason, C. Oleari and E. Re, NLO vector-boson production matched with shower in POWHEG, JHEP07 (2008) 060 [arXiv:0805.4802] [SPIRES]. [23] K. Hamilton, P. Richardson and J. Tully, A positive-weight next-to-leading order Monte Carlo simulation of Drell-Yan vector boson production, JHEP10 (2008) 015 [arXiv:0806.0290] [SPIRES]. [24] S. Alioli, P. Nason, C. Oleari and E. Re, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, JHEP06 (2010) 043 [1002.2581] [SPIRES]. · Zbl 1290.81155 [25] D.B. Melrose, Reduction of Feynman diagrams, Nuovo Cim.40 (1965) 181 [SPIRES]. · Zbl 0137.45701 [26] G. Passarino and M.J.G. Veltman, One loop corrections for e+e−annihilation into μ+μ−in the Weinberg model, Nucl. Phys.B 160 (1979) 151 [SPIRES]. [27] Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals, Nucl. Phys.B 412 (1994) 751 [hep-ph/9306240] [SPIRES]. · Zbl 1007.81512 [28] G. Ossola, C.G. Papadopoulos and R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes, JHEP03 (2008) 042 [arXiv:0711.3596] [SPIRES]. [29] G. Ossola, C.G. Papadopoulos and R. Pittau, On the rational terms of the one-loop amplitudes, JHEP05 (2008) 004 [arXiv:0802.1876] [SPIRES]. [30] C.F. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev.D 78 (2008) 036003 [arXiv:0803.4180] [SPIRES]. [31] W.T. Giele and G. Zanderighi, On the numerical evaluation of one-loop amplitudes: the gluonic case, JHEP06 (2008) 038 [arXiv:0805.2152] [SPIRES]. [32] T. Binoth, J.P. Guillet, G. Heinrich, E. Pilon and T. Reiter, Golem95: a numerical program to calculate one-loop tensor integrals with up to six external legs, Comput. Phys. Commun.180 (2009) 2317 [arXiv:0810.0992] [SPIRES]. · Zbl 1197.81004 [33] A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys.B 734 (2006) 62 [hep-ph/0509141] [SPIRES]. · Zbl 1192.81158 [34] A. Denner, S. Dittmaier, M. Roth and L.H. Wieders, Electroweak corrections to charged-current e+e− → 4 fermion processes: Technical details and further results, Nucl. Phys.B 724 (2005) 247 [hep-ph/0505042] [SPIRES]. [35] C.F. Berger et al., Precise predictions for W + 3 jet production at hadron colliders, Phys. Rev. Lett.102 (2009) 222001 [arXiv:0902.2760] [SPIRES]. [36] C.F. Berger et al., Next-to-leading order QCD predictions for W + 3-jet distributions at hadron colliders, Phys. Rev.D 80 (2009) 074036 [arXiv:0907.1984] [SPIRES]. [37] R.K. Ellis, K. Melnikov and G. Zanderighi, Generalized unitarity at work: first NLO QCD results for hadronic W + 3 jet production, JHEP04 (2009) 077 [arXiv:0901.4101] [SPIRES]. [38] R. Keith Ellis, K. Melnikov and G. Zanderighi, W + 3 jet production at the Tevatron, Phys. Rev.D 80 (2009) 094002 [arXiv:0906.1445] [SPIRES]. [39] C.F. Berger et al., Next-to-leading order QCD predictions for Z, γ* + 3-jet distributions at the Tevatron, 1004.1659 [SPIRES]. [40] A. Bredenstein, A. Denner, S. Dittmaier and S. Pozzorini, NLO QCD corrections to \[pp \to t\overline t b\overline b\] at the LHC, Phys. Rev. Lett.103 (2009) 012002 [arXiv:0905.0110] [SPIRES]. [41] A. Bredenstein, A. Denner, S. Dittmaier and S. Pozzorini, NLO QCD corrections to top anti-top bottom anti-bottom production at the LHC: 2. full hadronic results, JHEP03 (2010) 021 [1001.4006] [SPIRES]. · Zbl 1271.81172 [42] G. Bevilacqua, M. Czakon, C.G. Papadopoulos, R. Pittau and M. Worek, Assault on the NLO wishlist: pp → ttbb, JHEP09 (2009) 109 [arXiv:0907.4723] [SPIRES]. [43] G. Bevilacqua, M. Czakon, C.G. Papadopoulos and M. Worek, Dominant QCD backgrounds in Higgs boson analyses at the LHC: a study of \[pp \to t\overline t + 2\] jets at next-to-leading order, Phys. Rev. Lett.104 (2010) 162002 [1002.4009] [SPIRES]. [44] T. Binoth et al., Next-to-leading order QCD corrections to \[pp \to b\overline b b\overline b\] at the LHC: the quark induced case, Phys. Lett.B 685 (2010) 293 [arXiv:0910.4379] [SPIRES]. [45] W.T. Giele and E.W.N. Glover, Higher order corrections to jet cross-sections in e+e−annihilation, Phys. Rev.D 46 (1992) 1980 [SPIRES]. [46] Z. Kunszt and D.E. Soper, Calculation of jet cross-sections in hadron collisions at order α3S, Phys. Rev.D 46 (1992) 192 [SPIRES]. [47] S. Frixione, Z. Kunszt and A. Signer, Three jet cross-sections to next-to-leading order, Nucl. Phys.B 467 (1996) 399 [hep-ph/9512328] [SPIRES]. [48] G. Somogyi, Subtraction with hadronic initial states: an NNLO-compatible scheme, JHEP05 (2009) 016 [arXiv:0903.1218] [SPIRES]. [49] S. Catani and M.H. Seymour, A general algorithm for calculating jet cross sections in NLO QCD, Nucl. Phys.B 485 (1997) 291 [hep-ph/9605323] [SPIRES]. [50] S. Catani, S. Dittmaier, M.H. Seymour and Z. Trócsányi, The dipole formalism for next-to-leading order QCD calculations with massive partons, Nucl. Phys.B 627 (2002) 189 [hep-ph/0201036] [SPIRES]. · Zbl 0990.81140 [51] D.A. Kosower, Antenna factorization of gauge-theory amplitudes, Phys. Rev.D 57 (1998) 5410 [hep-ph/9710213] [SPIRES]. [52] J.M. Campbell, M.A. Cullen and E.W.N. Glover, Four jet event shapes in electron positron annihilation, Eur. Phys. J.C 9 (1999) 245 [hep-ph/9809429] [SPIRES]. [53] A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Antenna subtraction at NNLO, JHEP09 (2005) 056 [hep-ph/0505111] [SPIRES]. [54] A. Daleo, T. Gehrmann and D. Maître, Antenna subtraction with hadronic initial states, JHEP04 (2007) 016 [hep-ph/0612257] [SPIRES]. [55] T. Gleisberg and F. Krauss, Automating dipole subtraction for QCD NLO calculations, Eur. Phys. J.C 53 (2008) 501 [arXiv:0709.2881] [SPIRES]. [56] M.H. Seymour and C. Tevlin, TeVJet: a general framework for the calculation of jet observables in NLO QCD, arXiv:0803.2231 [SPIRES]. [57] M. Czakon, C.G. Papadopoulos and M. Worek, Polarizing the dipoles, JHEP08 (2009) 085 [arXiv:0905.0883] [SPIRES]. [58] K. Hasegawa, S. Moch and P. Uwer, AutoDipole — Automated generation of dipole subtraction terms, arXiv:0911.4371 [SPIRES]. · Zbl 1219.81244 [59] R. Frederix, T. Gehrmann and N. Greiner, Automation of the dipole subtraction method in MadGraph/MadEvent, JHEP09 (2008) 122 [arXiv:0808.2128] [SPIRES]. [60] R. Frederix, S. Frixione, F. Maltoni and T. Stelzer, Automation of next-to-leading order computations in QCD: the FKS subtraction, JHEP10 (2009) 003 [arXiv:0908.4272] [SPIRES]. [61] SM and NLO Multileg Working Group collaboration, J.R. Andersen et al., The SM and NLO multileg working group: summary report, 1003.1241 [SPIRES]. [62] T. Binoth et al., A proposal for a standard interface between Monte Carlo tools and one-loop programs, 1001.1307 [SPIRES]. · Zbl 1219.82008 [63] Z. Nagy and Z. Trócsányi, Next-to-leading order calculation of four-jet observables in electron positron annihilation, Phys. Rev.D 59 (1999) 014020 [hep-ph/9806317] [SPIRES]. [64] J.M. Campbell, R.K. Ellis and F. Tramontano, Single top production and decay at next-to-leading order, Phys. Rev.D 70 (2004) 094012 [hep-ph/0408158] [SPIRES]. [65] J.M. Campbell and F. Tramontano, Next-to-leading order corrections to W t production and decay, Nucl. Phys.B 726 (2005) 109 [hep-ph/0506289] [SPIRES]. · Zbl 1113.81317 [66] G. ’t Hooft and M.J.G. Veltman, Regularization and renormalization of gauge fields, Nucl. Phys.B 44 (1972) 189 [SPIRES]. [67] C.G. Bollini and J.J. Giambiagi, Dimensional renormalization: the number of dimensions as a regularizing parameter, Nuovo Cim.B 12 (1972) 20 [SPIRES]. [68] J.F. Ashmore, A method of gauge invariant regularization, Lett. Nuovo Cim.4 (1972) 289 [SPIRES]. [69] G.M. Cicuta and E. Montaldi, Analytic renormalization via continuous space dimension, Nuovo Cim. Lett.4 (1972) 329 [SPIRES]. [70] W. Siegel, Supersymmetric dimensional regularization via dimensional reduction, Phys. Lett.B 84 (1979) 193 [SPIRES]. [71] W. Siegel, Inconsistency of supersymmetric dimensional regularization, Phys. Lett.B 94 (1980) 37 [SPIRES]. [72] D. Stöckinger, Regularization by dimensional reduction: consistency, quantum action principle and supersymmetry, JHEP03 (2005) 076 [hep-ph/0503129] [SPIRES]. [73] A. Signer and D. Stöckinger, Using dimensional reduction for hadronic collisions, Nucl. Phys.B 808 (2009) 88 [arXiv:0807.4424] [SPIRES]. · Zbl 1192.81404 [74] Z. Kunszt, A. Signer and Z. Trócsányi, One loop helicity amplitudes for all 2 → 2 processes in QCD and N = 1 supersymmetric Yang-Mills theory, Nucl. Phys.B 411 (1994) 397 [hep-ph/9305239] [SPIRES]. [75] S. Catani, S. Dittmaier and Z. Trócsányi, One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons, Phys. Lett.B 500 (2001) 149 [hep-ph/0011222] [SPIRES]. · Zbl 0972.81667 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.