Towards NNLO+PS matching with sector showers. (English) Zbl 1518.81097
Summary: We outline a new technique for the fully-differential matching of final-state parton showers to NNLO calculations, focussing here on the simplest case of leptonic collisions with two final-state jets. The strategy is facilitated by working in the antenna formalism, making use of NNLO antenna subtraction on the fixed-order side and the sector-antenna framework on the shower side. As long as the combined real-virtual and double-real corrections do not overcompensate the real-emission term in the three-jet region, negative weights can be eliminated from the matching scheme. We describe the implementation of all necessary components in the Vincia antenna shower in Pythia 8.3.
MSC:
| 81U30 | Dispersion theory, dispersion relations arising in quantum theory |
| 81V15 | Weak interaction in quantum theory |
| 81V25 | Other elementary particle theory in quantum theory |
| 81Q15 | Perturbation theories for operators and differential equations in quantum theory |
References:
| [1] | Frixione, S.; Webber, B. R., Matching NLO QCD computations and parton shower simulations, J. High Energy Phys., 06, Article 029 pp. (2002) |
| [2] | Nason, P., A new method for combining NLO QCD with shower Monte Carlo algorithms, J. High Energy Phys., 11, Article 040 pp. (2004) |
| [3] | Höche, S.; Krauss, F.; Schonherr, M.; Siegert, F., A critical appraisal of NLO+PS matching methods, J. High Energy Phys., 09, Article 049 pp. (2012) |
| [4] | Li, H. T.; Skands, P., A framework for second-order parton showers, Phys. Lett. B, 771, 59-66 (2017) · Zbl 1372.81147 |
| [5] | Höche, S.; Prestel, S., Triple collinear emissions in parton showers, Phys. Rev. D, 96, 7, Article 074017 pp. (2017) |
| [6] | Höche, S.; Krauss, F.; Prestel, S., Implementing NLO DGLAP evolution in Parton Showers, J. High Energy Phys., 10, Article 093 pp. (2017) |
| [7] | Dulat, F.; Höche, S.; Prestel, S., Leading-color fully differential two-loop soft corrections to QCD dipole showers, Phys. Rev. D, 98, 7, Article 074013 pp. (2018) |
| [8] | Höche, S.; Li, Y.; Prestel, S., Drell-Yan lepton pair production at NNLO QCD with parton showers, Phys. Rev. D, 91, 7, Article 074015 pp. (2015) |
| [9] | Lönnblad, L.; Prestel, S., Merging multi-leg NLO matrix elements with parton showers, J. High Energy Phys., 03, Article 166 pp. (2013) |
| [10] | Bellm, J.; Gieseke, S.; Plätzer, S., Merging NLO multi-jet calculations with improved unitarization, Eur. Phys. J. C, 78, 3, 244 (2018) |
| [11] | Monni, P. F.; Nason, P.; Re, E.; Wiesemann, M.; Zanderighi, G., MiNNLO \({}_{P S}\): a new method to match NNLO QCD to parton showers, J. High Energy Phys., 05, Article 143 pp. (2020) |
| [12] | Re, E., MiNNLO_PS: a new method to match NNLO QCD with parton showers, (55th Rencontres de Moriond on QCD and High Energy Interactions (2021)) |
| [13] | Hamilton, K.; Nason, P.; Re, E.; Zanderighi, G., NNLOPS simulation of Higgs boson production, J. High Energy Phys., 10, Article 222 pp. (2013) |
| [14] | Karlberg, A.; Re, E.; Zanderighi, G., NNLOPS accurate Drell-Yan production, J. High Energy Phys., 09, Article 134 pp. (2014) |
| [15] | Astill, W.; Bizon, W.; Re, E.; Zanderighi, G., NNLOPS accurate associated HW production, J. High Energy Phys., 06, Article 154 pp. (2016) |
| [16] | Astill, W.; Bizoń, W.; Re, E.; Zanderighi, G., NNLOPS accurate associated HZ production with \(H \to b \overline{b}\) decay at NLO, J. High Energy Phys., 11, Article 157 pp. (2018) |
| [17] | Hamilton, K.; Nason, P.; Oleari, C.; Zanderighi, G., Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, J. High Energy Phys., 05, Article 082 pp. (2013) |
| [18] | Frederix, R.; Hamilton, K., Extending the MINLO method, J. High Energy Phys., 05, Article 042 pp. (2016) |
| [19] | Hu, Y.; Sun, C.; Shen, X.-M.; Gao, J., Hadronic decays of Higgs boson at NNLO matched with parton shower (2021) |
| [20] | Hamilton, K.; Nason, P.; Zanderighi, G., MINLO: multi-scale improved NLO, J. High Energy Phys., 10, Article 155 pp. (2012) |
| [21] | Prestel, S., Matching N3LO QCD calculations to parton showers, J. High Energy Phys., 11, Article 041 pp. (2021) · Zbl 1521.81469 |
| [22] | Alioli, S.; Bauer, C. W.; Berggren, C.; Tackmann, F. J.; Walsh, J. R.; Zuberi, S., Matching fully differential NNLO calculations and parton showers, J. High Energy Phys., 06, Article 089 pp. (2014) |
| [23] | Alioli, S.; Broggio, A.; Gavardi, A.; Kallweit, S.; Lim, M. A.; Nagar, R.; Napoletano, D.; Bauer, C. W.; Rottoli, L., Matching NNLO to parton shower using N^3LL colour-singlet transverse momentum resummation in GENEVA (2021) |
| [24] | Höche, S.; Li, Y.; Prestel, S., Higgs-boson production through gluon fusion at NNLO QCD with parton showers, Phys. Rev. D, 90, 5, Article 054011 pp. (2014) |
| [25] | Höche, S.; Kuttimalai, S.; Li, Y., Hadronic final states in DIS at NNLO QCD with parton showers, Phys. Rev. D, 98, 11, Article 114013 pp. (2018) |
| [26] | Alioli, S.; Bauer, C. W.; Berggren, C.; Tackmann, F. J.; Walsh, J. R., Drell-Yan production at NNLL’+NNLO matched to parton showers, Phys. Rev. D, 92, 9, Article 094020 pp. (2015) |
| [27] | Alioli, S.; Bauer, C. W.; Guns, S.; Tackmann, F. J., Underlying event sensitive observables in Drell-Yan production using GENEVA, Eur. Phys. J. C, 76, 11, 614 (2016) |
| [28] | Cridge, T.; Lim, M. A.; Nagar, R., Wγ production at NNLO+PS accuracy in GENEVA (2021) |
| [29] | Monni, P. F.; Re, E.; Wiesemann, M., MiNNLO_PS: optimizing \(2 \to 1\) hadronic processes, Eur. Phys. J. C, 80, 11, 1075 (2020) |
| [30] | Lombardi, D.; Wiesemann, M.; Zanderighi, G., Advancing MiNNLO_PS to diboson processes: Zγ production at NNLO+PS (2020) |
| [31] | Lombardi, D.; Wiesemann, M.; Zanderighi, G., \( W^+ W^-\) production at NNLO+PS with MiNNLO_PS (2021) |
| [32] | Mazzitelli, J.; Monni, P. F.; Nason, P.; Re, E.; Wiesemann, M.; Zanderighi, G., Next-to-next-to-leading order event generation for top-quark pair production, Phys. Rev. Lett., 127, 6, Article 062001 pp. (2021) |
| [33] | Buonocore, L.; Koole, G.; Lombardi, D.; Rottoli, L.; Wiesemann, M.; Zanderighi, G., ZZ production at nNNLO+PS with MiNNLO \({}_{P S}\), J. High Energy Phys., 01, Article 072 pp. (2022) |
| [34] | Brooks, H.; Preuss, C. T.; Skands, P., Sector showers for hadron collisions, J. High Energy Phys., 07, Article 032 pp. (2020) |
| [35] | Sjöstrand, T.; Ask, S.; Christiansen, J. R.; Corke, R.; Desai, N.; Ilten, P.; Mrenna, S.; Prestel, S.; Rasmussen, C. O.; Skands, P., An introduction to PYTHIA 8.2, Comput. Phys. Commun., 191, 159-177 (2015) · Zbl 1344.81029 |
| [36] | Norrbin, E.; Sjöstrand, T., QCD radiation off heavy particles, Nucl. Phys. B, 603, 297-342 (2001) |
| [37] | Frixione, S.; Nason, P.; Oleari, C., Matching NLO QCD computations with Parton Shower simulations: the POWHEG method, J. High Energy Phys., 11, Article 070 pp. (2007) |
| [38] | Alioli, S.; Nason, P.; Oleari, C.; Re, E., A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, J. High Energy Phys., 06, Article 043 pp. (2010) · Zbl 1290.81155 |
| [39] | Frixione, S.; Kunszt, Z.; Signer, A., Three jet cross-sections to next-to-leading order, Nucl. Phys. B, 467, 399-442 (1996) |
| [40] | Catani, S.; Seymour, M. H., A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B. Nucl. Phys. B, Nucl. Phys. B, 510, 503-419 (1998), (Erratum) |
| [41] | Kosower, D. A., Antenna factorization of gauge theory amplitudes, Phys. Rev. D, 57, 5410-5416 (1998) |
| [42] | Kosower, D. A., Antenna factorization in strongly ordered limits, Phys. Rev. D, 71, Article 045016 pp. (2005) |
| [43] | Larkoski, A. J.; Peskin, M. E., Spin-dependent antenna splitting functions, Phys. Rev. D, 81, Article 054010 pp. (2010) |
| [44] | Lopez-Villarejo, J. J.; Skands, P. Z., Efficient matrix-element matching with sector showers, J. High Energy Phys., 11, Article 150 pp. (2011) |
| [45] | Hoang, A. H.; Plätzer, S.; Samitz, D., On the cutoff dependence of the quark mass parameter in angular ordered parton showers, J. High Energy Phys., 10, Article 200 pp. (2018) |
| [46] | Baumeister, R.; Weinzierl, S., Cutoff dependence of the thrust peak position in the dipole shower, Eur. Phys. J. C, 80, 9, 843 (2020) |
| [47] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., Infrared structure of \(e^+ e^- \to 2 \text{jets}\) at NNLO, Nucl. Phys. B, 691, 195-222 (2004) |
| [48] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., Gluon-gluon antenna functions from Higgs boson decay, Phys. Lett. B, 612, 49-60 (2005) |
| [49] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., Quark-gluon antenna functions from neutralino decay, Phys. Lett. B, 612, 36-48 (2005) |
| [50] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., Antenna subtraction at NNLO, J. High Energy Phys., 09, Article 056 pp. (2005) |
| [51] | Hartgring, L.; Laenen, E.; Skands, P., Antenna showers with one-loop matrix elements, J. High Energy Phys., 10, Article 127 pp. (2013) |
| [52] | Kodaira, J.; Trentadue, L., Summing soft emission in QCD, Phys. Lett. B, 112, 66 (1982) |
| [53] | Davies, C. T.H.; Stirling, W. J., Nonleading corrections to the Drell-Yan cross-section at small transverse momentum, Nucl. Phys. B, 244, 337-348 (1984) |
| [54] | Davies, C. T.H.; Webber, B. R.; Stirling, W. J., Drell-Yan cross-sections at small transverse momentum, Nucl. Phys. B, 256, 413 (1985) |
| [55] | Catani, S.; D’Emilio, E.; Trentadue, L., The gluon form-factor to higher orders: gluon-gluon annihilation at small \(Q^-\) transverse, Phys. Lett. B, 211, 335-342 (1988) |
| [56] | Catani, S.; Webber, B. R.; Marchesini, G., QCD coherent branching and semiinclusive processes at large x, Nucl. Phys. B, 349, 635-654 (1991) |
| [57] | Brooks, H.; Preuss, C. T., Efficient multi-jet merging with the Vincia sector shower, Comput. Phys. Commun., 264, Article 107985 pp. (2021) |
| [58] | Fischer, N.; Prestel, S., Combining states without scale hierarchies with ordered parton showers, Eur. Phys. J. C, 77, 9, 601 (2017) |
| [59] | Giele, W. T.; Kosower, D. A.; Skands, P. Z., Higher-order corrections to timelike jets, Phys. Rev. D, 84, Article 054003 pp. (2011) |
| [60] | Campbell, J. M.; Ellis, R. K., An update on vector boson pair production at hadron colliders, Phys. Rev. D, 60, Article 113006 pp. (1999) |
| [61] | Campbell, J. M.; Ellis, R. K.; Williams, C., Vector boson pair production at the LHC, J. High Energy Phys., 07, Article 018 pp. (2011) |
| [62] | Campbell, J. M.; Ellis, R. K.; Giele, W. T., A multi-threaded version of MCFM, Eur. Phys. J. C, 75, 6, 246 (2015) |
| [63] | Campbell, J.; Neumann, T., Precision phenomenology with MCFM, J. High Energy Phys., 12, Article 034 pp. (2019) |
| [64] | Campbell, J. M.; Höche, S.; Preuss, C. T., Accelerating LHC phenomenology with analytic one-loop amplitudes: a C++ interface to MCFM, Eur. Phys. J. C, 81, 12, 1117 (2021) |
| [65] | S. Höche, C.T. Preuss, in preparation. |
| [66] | Gleisberg, T.; Höche, S., Comix, a new matrix element generator, J. High Energy Phys., 12, Article 039 pp. (2008) |
| [67] | Gleisberg, T.; Höche, S.; Krauss, F.; Schönherr, M.; Schumann, S.; Siegert, F.; Winter, J., Event generation with SHERPA 1.1, J. High Energy Phys., 02, Article 007 pp. (2009) |
| [68] | Bothmann, E., Event generation with Sherpa 2.2, SciPost Phys., 7, 3, Article 034 pp. (2019) |
| [69] | Gehrmann-De Ridder, A.; Gehrmann, T.; Heinrich, G., Four particle phase space integrals in massless QCD, Nucl. Phys. B, 682, 265-288 (2004) · Zbl 1045.81558 |
| [70] | Höche, S.; Krauss, F.; Schönherr, M.; Siegert, F., Automating the POWHEG method in Sherpa, J. High Energy Phys., 04, Article 024 pp. (2011) |
| [71] | Giele, W. T.; Stavenga, G. C.; Winter, J.-C., A Forward Branching Phase-Space Generator (6 2011) |
| [72] | Figy, T. M.; Giele, W. T., A forward branching phase space generator for hadron colliders, J. High Energy Phys., 10, Article 203 pp. (2018) |
| [73] | Campbell, J. M.; Giele, W. T.; Williams, C., The matrix element method at next-to-leading order, J. High Energy Phys., 11, Article 043 pp. (2012) |
| [74] | Weinzierl, S., NNLO corrections to 2-jet observables in electron-positron annihilation, Phys. Rev. D, 74, Article 014020 pp. (2006) |
| [75] | Chetyrkin, K. G.; Kuhn, J. H.; Kwiatkowski, A., QCD corrections to the \(e^+ e^-\) cross-section and the Z boson decay rate, Phys. Rep., 277, 189-281 (1996) |
| [76] | Gorishnii, S. G.; Kataev, A. L.; Larin, S. A.; Surguladze, L. R., Corrected three loop QCD correction to the correlator of the quark scalar currents and Γ(tot) \(( H^0 \to\) hadrons), Mod. Phys. Lett. A, 5, 2703-2712 (1990) |
| [77] | Chetyrkin, K. G., Correlator of the quark scalar currents and Gamma(tot) (H —> hadrons) at O (alpha-s**3) in pQCD, Phys. Lett. B, 390, 309-317 (1997) |
| [78] | Baikov, P. A.; Chetyrkin, K. G.; Kuhn, J. H., Scalar correlator at O(alpha(s)**4), Higgs decay into b-quarks and bounds on the light quark masses, Phys. Rev. Lett., 96, Article 012003 pp. (2006) |
| [79] | Del Duca, V.; Duhr, C.; Somogyi, G.; Tramontano, F.; Trócsányi, Z., Higgs boson decay into b-quarks at NNLO accuracy, J. High Energy Phys., 04, Article 036 pp. (2015) |
| [80] | Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M., Hadronic Higgs decay to order \(\alpha_s^4\), Phys. Rev. Lett., 79, 353-356 (1997) |
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.
