Abstract
We present an Mc@Nlo-like matching of next-to-leading order QCD calculations with the Nagy-Soper parton shower. An implementation of the algorithm within the Helac-Dipoles Monte Carlo generator is used to address the uncertainties and ambiguities of the matching scheme. First results obtained using the Nagy-Soper parton shower implementation in Deductor in conjunction with the Helac-Nlo framework are given for the \( pp\to t\overline{t}j+X \) process at the LHC with \( \sqrt{s}=8 \) TeV. Effects of resummation are discussed for various observables.
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References
G. Marchesini and B.R. Webber, Simulation of QCD Jets Including Soft Gluon Interference, Nucl. Phys. B 238 (1984) 1 [INSPIRE].
T. Sjöstrand, A Model for Initial State Parton Showers, Phys. Lett. B 157 (1985) 321 [INSPIRE].
M. Bengtsson, T. Sjöstrand and M. van Zijl, Initial State Radiation Effects on W and Jet Production, Z. Phys. C 32 (1986) 67 [INSPIRE].
M. Bengtsson and T. Sjöstrand, A Comparative Study of Coherent and Noncoherent Parton Shower Evolution, Nucl. Phys. B 289 (1987) 810 [INSPIRE].
G. Marchesini and B.R. Webber, Monte Carlo Simulation of General Hard Processes with Coherent QCD Radiation, Nucl. Phys. B 310 (1988) 461 [INSPIRE].
L. Lönnblad, ARIADNE version 4: A program for simulation of QCD cascades implementing the color dipole model, Comput. Phys. Commun. 71 (1992) 15 [INSPIRE].
M. Dinsdale, M. Ternick and S. Weinzierl, Parton showers from the dipole formalism, Phys. Rev. D 76 (2007) 094003 [arXiv:0709.1026] [INSPIRE].
S. Schumann and F. Krauss, A parton shower algorithm based on Catani-Seymour dipole factorisation, JHEP 03 (2008) 038 [arXiv:0709.1027] [INSPIRE].
S. Platzer and S. Gieseke, Coherent Parton Showers with Local Recoils, JHEP 01 (2011) 024 [arXiv:0909.5593] [INSPIRE].
A. Gehrmann-De Ridder, M. Ritzmann and P.Z. Skands, Timelike Dipole-Antenna Showers with Massive Fermions, Phys. Rev. D 85 (2012) 014013 [arXiv:1108.6172] [INSPIRE].
S. Platzer and M. Sjodahl, Subleading N c improved Parton Showers, JHEP 07 (2012) 042 [arXiv:1201.0260] [INSPIRE].
M. Ritzmann, D.A. Kosower and P. Skands, Antenna Showers with Hadronic Initial States, Phys. Lett. B 718 (2013) 1345 [arXiv:1210.6345] [INSPIRE].
L. Hartgring, E. Laenen and P. Skands, Antenna Showers with One-Loop Matrix Elements, JHEP 10 (2013) 127 [arXiv:1303.4974] [INSPIRE].
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] [INSPIRE].
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] [INSPIRE].
Z. Nagy and D.E. Soper, Parton showers with quantum interference, JHEP 09 (2007) 114 [arXiv:0706.0017] [INSPIRE].
Z. Nagy and D.E. Soper, Parton showers with quantum interference: Leading color, spin averaged, JHEP 03 (2008) 030 [arXiv:0801.1917] [INSPIRE].
Z. Nagy and D.E. Soper, Parton showers with quantum interference: Leading color, with spin, JHEP 07 (2008) 025 [arXiv:0805.0216] [INSPIRE].
Z. Nagy and D.E. Soper, On the transverse momentum in Z-boson production in a virtuality ordered parton shower, JHEP 03 (2010) 097 [arXiv:0912.4534] [INSPIRE].
Z. Nagy and D.E. Soper, Final state dipole showers and the DGLAP equation, JHEP 05 (2009) 088 [arXiv:0901.3587] [INSPIRE].
Z. Nagy and D.E. Soper, Parton shower evolution with subleading color, JHEP 06 (2012) 044 [arXiv:1202.4496] [INSPIRE].
Z. Nagy and D.E. Soper, Ordering variable for parton showers, JHEP 06 (2014) 178 [arXiv:1401.6366] [INSPIRE].
Z. Nagy and D.E. Soper, Parton distribution functions in the context of parton showers, JHEP 06 (2014) 179 [arXiv:1401.6368] [INSPIRE].
Z. Nagy and D.E. Soper, A parton shower based on factorization of the quantum density matrix, JHEP 06 (2014) 097 [arXiv:1401.6364] [INSPIRE].
Z. Nagy and D.E. Soper, Effects of subleading color in a parton shower, arXiv:1501.00778 [INSPIRE].
S. Frixione and B.R. Webber, Matching NLO QCD computations and parton shower simulations, JHEP 06 (2002) 029 [hep-ph/0204244] [INSPIRE].
S. Frixione, P. Nason and B.R. Webber, Matching NLO QCD and parton showers in heavy flavor production, JHEP 08 (2003) 007 [hep-ph/0305252] [INSPIRE].
P. Nason, A new method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040 [hep-ph/0409146] [INSPIRE].
S. Frixione, P. Nason and C. Oleari, Matching NLO QCD computations with Parton Shower simulations: the POWHEG method, JHEP 11 (2007) 070 [arXiv:0709.2092] [INSPIRE].
S. Alioli, P. Nason, C. Oleari and E. Re, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, JHEP 06 (2010) 043 [arXiv:1002.2581] [INSPIRE].
C.H. Chung, M. Krämer and T. Robens, An alternative subtraction scheme for next-to-leading order QCD calculations, JHEP 06 (2011) 144 [arXiv:1012.4948] [INSPIRE].
C.-H. Chung and T. Robens, Nagy-Soper subtraction scheme for multiparton final states, Phys. Rev. D 87 (2013) 074032 [arXiv:1209.1569] [INSPIRE].
G. Bevilacqua, M. Czakon, M. Kubocz and M. Worek, Complete Nagy-Soper subtraction for next-to-leading order calculations in QCD, JHEP 10 (2013) 204 [arXiv:1308.5605] [INSPIRE].
T. Robens, Nagy-Soper Subtraction: A Review, Mod. Phys. Lett. A 28 (2013) 1330020 [arXiv:1306.1946] [INSPIRE].
M. Czakon, C.G. Papadopoulos and M. Worek, Polarizing the Dipoles, JHEP 08 (2009) 085 [arXiv:0905.0883] [INSPIRE].
J.E. Paton and H.-M. Chan, Generalized veneziano model with isospin, Nucl. Phys. B 10 (1969) 516 [INSPIRE].
F.A. Berends and W. Giele, The Six Gluon Process as an Example of Weyl-Van Der Waerden Spinor Calculus, Nucl. Phys. B 294 (1987) 700 [INSPIRE].
F.A. Berends and W.T. Giele, Recursive Calculations for Processes with n Gluons, Nucl. Phys. B 306 (1988) 759 [INSPIRE].
M.L. Mangano, S.J. Parke and Z. Xu, Duality and Multi-Gluon Scattering, Nucl. Phys. B 298 (1988) 653 [INSPIRE].
M.L. Mangano, The Color Structure of Gluon Emission, Nucl. Phys. B 309 (1988) 461 [INSPIRE].
B. Andersson, G. Gustafson, G. Ingelman and T. Sjöstrand, Parton Fragmentation and String Dynamics, Phys. Rept. 97 (1983) 31 [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
A. Bassetto, M. Ciafaloni and G. Marchesini, Jet Structure and Infrared Sensitive Quantities in Perturbative QCD, Phys. Rept. 100 (1983) 201 [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 Physics and Manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A Brief Introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
M. Bähr et al., HERWIG++ Physics and Manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
G. Corcella et al., HERWIG 6: An event generator for hadron emission reactions with interfering gluons (including supersymmetric processes), JHEP 01 (2001) 010 [hep-ph/0011363] [INSPIRE].
S. Catani, B.R. Webber and G. Marchesini, QCD coherent branching and semiinclusive processes at large x, Nucl. Phys. B 349 (1991) 635 [INSPIRE].
M. Krämer, Michael and D.E. Soper, Next-to-leading order QCD calculations with parton showers. 1. Collinear singularities, Phys. Rev. D 69 (2004) 054019 [hep-ph/0306222] [INSPIRE].
D.E. Soper, Next-to-leading order QCD calculations with parton showers. 2. Soft singularities, Phys. Rev. D 69 (2004) 054020 [hep-ph/0306268] [INSPIRE].
M. Krämer, Michael, S. Mrenna and D.E. Soper, Next-to-leading order QCD jet production with parton showers and hadronization, Phys. Rev. D 73 (2006) 014022 [hep-ph/0509127] [INSPIRE].
Z. Nagy and D.E. Soper, Matching parton showers to NLO computations, JHEP 10 (2005) 024 [hep-ph/0503053] [INSPIRE].
W.T. Giele, D.A. Kosower and P.Z. Skands, A simple shower and matching algorithm, Phys. Rev. D 78 (2008) 014026 [arXiv:0707.3652] [INSPIRE].
S. Platzer and S. Gieseke, Dipole Showers and Automated NLO Matching in HERWIG++, Eur. Phys. J. C 72 (2012) 2187 [arXiv:1109.6256] [INSPIRE].
P. Torrielli and S. Frixione, Matching NLO QCD computations with PYTHIA using MC@NLO, JHEP 04 (2010) 110 [arXiv:1002.4293] [INSPIRE].
S. Hoche, F. Krauss, M. Schonherr and F. Siegert, Automating the POWHEG method in Sherpa, JHEP 04 (2011) 024 [arXiv:1008.5399] [INSPIRE].
S. Hoeche, F. Krauss, M. Schonherr and F. Siegert, A critical appraisal of NLO+PS matching methods, JHEP 09 (2012) 049 [arXiv:1111.1220] [INSPIRE].
R. Frederix et al., aMC@NLO predictions for Wjj production at the Tevatron, JHEP 02 (2012) 048 [arXiv:1110.5502] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
R.S. Thorne, The effect on PDFs and α S (M 2 Z ) due to changes in flavour scheme and higher twist contributions, Eur. Phys. J. C 74 (2014) 2958 [arXiv:1402.3536] [INSPIRE].
T. Plehn, D. Rainwater and P.Z. Skands, Squark and gluino production with jets, Phys. Lett. B 645 (2007) 217 [hep-ph/0510144] [INSPIRE].
M.L. Mangano, M. Moretti, F. Piccinini and M. Treccani, Matching matrix elements and shower evolution for top-quark production in hadronic collisions, JHEP 01 (2007) 013 [hep-ph/0611129] [INSPIRE].
S. Alioli, P. Nason, C. Oleari and E. Re, NLO Higgs boson production via gluon fusion matched with shower in POWHEG, JHEP 04 (2009) 002 [arXiv:0812.0578] [INSPIRE].
S. Hoeche et al., Next-to-leading order QCD predictions for top-quark pair production with up to two jets merged with a parton shower, arXiv:1402.6293 [INSPIRE].
G. Bevilacqua et al., HELAC-NLO, Comput. Phys. Commun. 184 (2013) 986 [arXiv:1110.1499] [INSPIRE].
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] [INSPIRE].
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] [INSPIRE].
Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision, Phys. Rev. D 68 (2003) 094002 [hep-ph/0307268] [INSPIRE].
A. van Hameren, C.G. Papadopoulos and R. Pittau, Automated one-loop calculations: A proof of concept, JHEP 09 (2009) 106 [arXiv:0903.4665] [INSPIRE].
G. Corcella et al., HERWIG 6.3 release note, hep-ph/0107071 [INSPIRE].
J. Alwall et al., A standard format for Les Houches event files, Comput. Phys. Commun. 176 (2007) 300 [hep-ph/0609017] [INSPIRE].
S. Dittmaier, P. Uwer and S. Weinzierl, NLO QCD corrections to \( t\overline{t} \) + jet production at hadron colliders, Phys. Rev. Lett. 98 (2007) 262002 [hep-ph/0703120] [INSPIRE].
S. Dittmaier, P. Uwer and S. Weinzierl, Hadronic top-quark pair production in association with a hard jet at next-to-leading order QCD: Phenomenological studies for the Tevatron and the LHC, Eur. Phys. J. C 59 (2009) 625 [arXiv:0810.0452] [INSPIRE].
K. Melnikov and M. Schulze, NLO QCD corrections to top quark pair production in association with one hard jet at hadron colliders, Nucl. Phys. B 840 (2010) 129 [arXiv:1004.3284] [INSPIRE].
A. Kardos, C. Papadopoulos and Z. Trócsányi, Top quark pair production in association with a jet with NLO parton showering, Phys. Lett. B 705 (2011) 76 [arXiv:1101.2672] [INSPIRE].
S. Alioli, S.-O. Moch and P. Uwer, Hadronic top-quark pair-production with one jet and parton showering, JHEP 01 (2012) 137 [arXiv:1110.5251] [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-k(t) jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
M. Dasgupta and G.P. Salam, Resummation of the jet broadening in DIS, Eur. Phys. J. C 24 (2002) 213 [hep-ph/0110213] [INSPIRE].
M. Dasgupta and G.P. Salam, Resummed event shape variables in DIS, JHEP 08 (2002) 032 [hep-ph/0208073] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Resummed event shapes at hadron - hadron colliders, JHEP 08 (2004) 062 [hep-ph/0407287] [INSPIRE].
G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, Nucl. Phys. B 737 (2006) 73 [hep-ph/0508068] [INSPIRE].
G. Bozzi, S. Catani, G. Ferrera, D. de Florian and M. Grazzini, Production of Drell-Yan lepton pairs in hadron collisions: Transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy, Phys. Lett. B 696 (2011) 207 [arXiv:1007.2351] [INSPIRE].
S. Hoeche and M. Schonherr, Uncertainties in next-to-leading order plus parton shower matched simulations of inclusive jet and dijet production, Phys. Rev. D 86 (2012) 094042 [arXiv:1208.2815] [INSPIRE].
J. Alwall et al., Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions, Eur. Phys. J. C 53 (2008) 473 [arXiv:0706.2569] [INSPIRE].
R. Frederix and S. Frixione, Merging meets matching in MC@NLO, JHEP 12 (2012) 061 [arXiv:1209.6215] [INSPIRE].
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Czakon, M., Hartanto, H.B., Kraus, M. et al. Matching the Nagy-Soper parton shower at next-to-leading order. J. High Energ. Phys. 2015, 33 (2015). https://doi.org/10.1007/JHEP06(2015)033
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DOI: https://doi.org/10.1007/JHEP06(2015)033