Abstract
We consider ZZ production in hadronic collisions and present state-of-the-art predictions in QCD perturbation theory matched to parton showers. Next-to-next-to-leading order corrections to the quark-initiated channel are combined with parton showers using the MiNNLOPS method, while next-to-leading order corrections to the loop-induced gluon fusion channel are matched using the Powheg method. Their combination, dubbed nNNLO+PS, constitutes the best theoretical description of ZZ events to date. Spin correlations, interferences and off-shell effects are included by calculating the full process pp → ℓ+ℓ−ℓ(′)+ℓ(′)−. We show the crucial impact of higher-order corrections for both quark- and gluon-initiated processes as well as the relevance of the parton shower in certain kinematical regimes. Our predictions are in very good agreement with recent LHC data.
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F. Caola and K. Melnikov, Constraining the Higgs boson width with ZZ production at the LHC, Phys. Rev. D 88 (2013) 054024 [arXiv:1307.4935] [INSPIRE].
J. M. Campbell, R. K. Ellis and C. Williams, Bounding the Higgs Width at the LHC using full analytic results for gg → e− e+ μ− μ+, JHEP 04 (2014) 060 [arXiv:1311.3589] [INSPIRE].
J. M. Campbell, R. K. Ellis and C. Williams, Bounding the Higgs width at the LHC: complementary results from H → WW, Phys. Rev. D 89 (2014) 053011 [arXiv:1312.1628] [INSPIRE].
J. M. Campbell, R. K. Ellis and C. Williams, Bounding the Higgs Width at the LHC, PoS(LL2014)008 [arXiv:1408.1723] [INSPIRE].
M. Grazzini, S. Kallweit, M. Wiesemann and J. Y. Yook, Four lepton production in gluon fusion: Off-shell Higgs effects in NLO QCD, Phys. Lett. B 819 (2021) 136465 [arXiv:2102.08344] [INSPIRE].
CMS collaboration, Constraints on the Higgs boson width from off-shell production and decay to Z-boson pairs, Phys. Lett. B 736 (2014) 64 [arXiv:1405.3455] [INSPIRE].
ATLAS collaboration, Constraints on the off-shell Higgs boson signal strength in the high-mass ZZ and WW final states with the ATLAS detector, Eur. Phys. J. C 75 (2015) 335 [arXiv:1503.01060] [INSPIRE].
CMS collaboration, Limits on the Higgs boson lifetime and width from its decay to four charged leptons, Phys. Rev. D 92 (2015) 072010 [arXiv:1507.06656] [INSPIRE].
CMS collaboration, Search for Higgs boson off-shell production in proton-proton collisions at 7 and 8 TeV and derivation of constraints on its total decay width, JHEP 09 (2016) 051 [arXiv:1605.02329] [INSPIRE].
ATLAS collaboration, Constraints on off-shell Higgs boson production and the Higgs boson total width in ZZ → 4ℓ and ZZ → 2ℓ2ν final states with the ATLAS detector, Phys. Lett. B 786 (2018) 223 [arXiv:1808.01191] [INSPIRE].
CMS collaboration, Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state, Phys. Rev. D 99 (2019) 112003 [arXiv:1901.00174] [INSPIRE].
CMS collaboration, Measurements of the electroweak diboson production cross sections in proton-proton collisions at \( \sqrt{s} \) = 5.02 TeV using leptonic decays, Phys. Rev. Lett. 127 (2021) 191801 [arXiv:2107.01137] [INSPIRE].
ATLAS collaboration, Measurement of the ZZ production cross section and limits on anomalous neutral triple gauge couplings in proton-proton collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, Phys. Rev. Lett. 108 (2012) 041804 [arXiv:1110.5016] [INSPIRE].
ATLAS collaboration, Measurement of ZZ production in pp collisions at \( \sqrt{s} \) = 7 TeV and limits on anomalous ZZZ and ZZγ couplings with the ATLAS detector, JHEP 03 (2013) 128 [arXiv:1211.6096] [INSPIRE].
CMS collaboration, Measurement of the ZZ production cross section and search for anomalous couplings in 2l2l′ final states in pp collisions at \( \sqrt{s} \) = 7 TeV, JHEP 01 (2013) 063 [arXiv:1211.4890] [INSPIRE].
CMS collaboration, Measurements of the ZZ production cross sections in the 2l2ν channel in proton-proton collisions at \( \sqrt{s} \) = 7 and 8 TeV and combined constraints on triple gauge couplings, Eur. Phys. J. C 75 (2015) 511 [arXiv:1503.05467] [INSPIRE].
CMS collaboration, Measurement of W + W − and ZZ production cross sections in pp collisions at \( \sqrt{s} \) = 8TeV, Phys. Lett. B 721 (2013) 190 [arXiv:1301.4698] [INSPIRE].
CMS collaboration, Measurement of the pp → Zz production cross section and constraints on anomalous triple gauge couplings in four-lepton final states at \( \sqrt{s} \) = 8 TeV, Phys. Lett. B 740 (2015) 250 [Erratum ibid. 757 (2016) 569] [arXiv:1406.0113] [INSPIRE].
ATLAS collaboration, Measurements of four-lepton production in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, Phys. Lett. B 753 (2016) 552 [arXiv:1509.07844] [INSPIRE].
ATLAS collaboration, Measurement of the ZZ production cross section in proton-proton collisions at \( \sqrt{s} \) = 8 TeV using the ZZ → ℓ− ℓ+ ℓ′− ℓ′+ and ZZ → \( {\mathrm{\ell}}^{-}{\mathrm{\ell}}^{+}v\overline{v} \) channels with the ATLAS detector, JHEP 01 (2017) 099 [arXiv:1610.07585] [INSPIRE].
CMS collaboration, Measurement of differential cross sections for Z boson pair production in association with jets at \( \sqrt{s} \) = 8 and 13 TeV, Phys. Lett. B 789 (2019) 19 [arXiv:1806.11073] [INSPIRE].
CMS collaboration, Measurement of the ZZ production cross section and Z → ℓ+ ℓ− ℓ′+ ℓ′− branching fraction in pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 763 (2016) 280 [Erratum ibid. 772 (2017) 884] [arXiv:1607.08834] [INSPIRE].
ATLAS collaboration, ZZ → ℓ+ ℓ− ℓ′+ ℓ′− cross-section measurements and search for anomalous triple gauge couplings in 13 TeV pp collisions with the ATLAS detector, Phys. Rev. D 97 (2018) 032005 [arXiv:1709.07703] [INSPIRE].
CMS collaboration, Measurements of the pp → ZZ production cross section and the Z → 4ℓ branching fraction, and constraints on anomalous triple gauge couplings at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 78 (2018) 165 [Erratum ibid. 78 (2018) 515] [arXiv:1709.08601] [INSPIRE].
ATLAS collaboration, Measurement of ZZ production in the ℓℓνν final state with the ATLAS detector in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 10 (2019) 127 [arXiv:1905.07163] [INSPIRE].
CMS collaboration, Measurements of pp → ZZ production cross sections and constraints on anomalous triple gauge couplings at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 81 (2021) 200 [arXiv:2009.01186] [INSPIRE].
NNPDF collaboration, Parton distributions from high-precision collider data, Eur. Phys. J. C 77 (2017) 663 [arXiv:1706.00428] [INSPIRE].
B. Mele, P. Nason and G. Ridolfi, QCD radiative corrections to Z boson pair production in hadronic collisions, Nucl. Phys. B 357 (1991) 409 [INSPIRE].
J. Ohnemus and J. F. Owens, An order α−s calculation of hadronic ZZ production, Phys. Rev. D 43 (1991) 3626 [INSPIRE].
J. Ohnemus, Hadronic ZZ, W − W +, and W ± Z production with QCD corrections and leptonic decays, Phys. Rev. D 50 (1994) 1931 [hep-ph/9403331] [INSPIRE].
L. J. Dixon, Z. Kunszt and A. Signer, Helicity amplitudes for O(αs) production of W + W −, W ± Z, ZZ, W ± γ, or Zγ pairs at hadron colliders, Nucl. Phys. B 531 (1998) 3 [hep-ph/9803250] [INSPIRE].
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] [INSPIRE].
T. Melia, P. Nason, R. Rontsch and G. Zanderighi, W + W −, WZ and ZZ production in the POWHEG BOX, JHEP 11 (2011) 078 [arXiv:1107.5051] [INSPIRE].
P. Nason and G. Zanderighi, W + W −, WZ and ZZ production in the POWHEG-BOX-V2, Eur. Phys. J. C 74 (2014) 2702 [arXiv:1311.1365] [INSPIRE].
R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, R. Pittau and P. Torrielli, Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties, JHEP 02 (2012) 099 [arXiv:1110.4738] [INSPIRE].
A. Bierweiler, T. Kasprzik and J. H. Kühn, Vector-boson pair production at the LHC to \( \mathcal{O}\left({\alpha}^3\right) \) accuracy, JHEP 12 (2013) 071 [arXiv:1305.5402] [INSPIRE].
J. Baglio, L. D. Ninh and M. M. Weber, Massive gauge boson pair production at the LHC: a next-to-leading order story, Phys. Rev. D 88 (2013) 113005 [Erratum ibid. 94 (2016) 099902] [arXiv:1307.4331] [INSPIRE].
B. Biedermann, A. Denner, S. Dittmaier, L. Hofer and B. Jäger, Electroweak corrections to pp → μ+ μ− e+ e− + X at the LHC: a Higgs background study, Phys. Rev. Lett. 116 (2016) 161803 [arXiv:1601.07787] [INSPIRE].
B. Biedermann, A. Denner, S. Dittmaier, L. Hofer and B. Jager, Next-to-leading-order electroweak corrections to the production of four charged leptons at the LHC, JHEP 01 (2017) 033 [arXiv:1611.05338] [INSPIRE].
M. Chiesa, A. Denner and J.-N. Lang, Anomalous triple-gauge-boson interactions in vector-boson pair production with RECOLA2, Eur. Phys. J. C 78 (2018) 467 [arXiv:1804.01477] [INSPIRE].
M. Chiesa, C. Oleari and E. Re, NLO QCD+NLO EW corrections to diboson production matched to parton shower, Eur. Phys. J. C 80 (2020) 849 [arXiv:2005.12146] [INSPIRE].
A. Denner and G. Pelliccioli, NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC, JHEP 10 (2021) 097 [arXiv:2107.06579] [INSPIRE].
F. Cascioli et al., ZZ production at hadron colliders in NNLO QCD, Phys. Lett. B 735 (2014) 311 [arXiv:1405.2219] [INSPIRE].
G. Heinrich, S. Jahn, S. P. Jones, M. Kerner and J. Pires, NNLO predictions for Z-boson pair production at the LHC, JHEP 03 (2018) 142 [arXiv:1710.06294] [INSPIRE].
M. Grazzini, S. Kallweit and D. Rathlev, ZZ production at the LHC: fiducial cross sections and distributions in NNLO QCD, Phys. Lett. B 750 (2015) 407 [arXiv:1507.06257] [INSPIRE].
S. Kallweit and M. Wiesemann, ZZ production at the LHC: NNLO predictions for 2ℓ2ν and 4ℓ signatures, Phys. Lett. B 786 (2018) 382 [arXiv:1806.05941] [INSPIRE].
M. Grazzini, S. Kallweit, J. M. Lindert, S. Pozzorini and M. Wiesemann, NNLO QCD + NLO EW with Matrix+OpenLoops: precise predictions for vector-boson pair production, JHEP 02 (2020) 087 [arXiv:1912.00068] [INSPIRE].
F. Caola, K. Melnikov, R. Röntsch and L. Tancredi, QCD corrections to ZZ production in gluon fusion at the LHC, Phys. Rev. D 92 (2015) 094028 [arXiv:1509.06734] [INSPIRE].
F. Caola, M. Dowling, K. Melnikov, R. Röntsch and L. Tancredi, QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC, JHEP 07 (2016) 087 [arXiv:1605.04610] [INSPIRE].
M. Grazzini, S. Kallweit, M. Wiesemann and J. Y. Yook, ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel, JHEP 03 (2019) 070 [arXiv:1811.09593] [INSPIRE].
T. Binoth, N. Kauer and P. Mertsch, Gluon-induced QCD corrections to pp → ZZ → \( l\overline{l}{l}^{\prime }{\overline{l}}^{-\prime } \), arXiv:0807.0024 [INSPIRE].
S. Alioli, F. Caola, G. Luisoni and R. Röntsch, ZZ production in gluon fusion at NLO matched to parton-shower, Phys. Rev. D 95 (2017) 034042 [arXiv:1609.09719] [INSPIRE].
S. Alioli, S. Ferrario Ravasio, J. M. Lindert and R. Röntsch, Four-lepton production in gluon fusion at NLO matched to parton showers, Eur. Phys. J. C 81 (2021) 687 [arXiv:2102.07783] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 107 (2011) 152003 [arXiv:1107.1164] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation, Phys. Lett. B 740 (2015) 51 [arXiv:1407.4747] [INSPIRE].
G. Ferrera, G. Somogyi and F. Tramontano, Associated production of a Higgs boson decaying into bottom quarks at the LHC in full NNLO QCD, Phys. Lett. B 780 (2018) 346 [arXiv:1705.10304] [INSPIRE].
J. M. Campbell, R. K. Ellis and C. Williams, Associated production of a Higgs boson at NNLO, JHEP 06 (2016) 179 [arXiv:1601.00658] [INSPIRE].
R. V. Harlander and W. B. Kilgore, Higgs boson production in bottom quark fusion at next-to-next-to leading order, Phys. Rev. D 68 (2003) 013001 [hep-ph/0304035] [INSPIRE].
R. V. Harlander, K. J. Ozeren and M. Wiesemann, Higgs plus jet production in bottom quark annihilation at next-to-leading order, Phys. Lett. B 693 (2010) 269 [arXiv:1007.5411] [INSPIRE].
R. Harlander and M. Wiesemann, Jet-veto in bottom-quark induced Higgs production at next-to-next-to-leading order, JHEP 04 (2012) 066 [arXiv:1111.2182] [INSPIRE].
S. Bühler, F. Herzog, A. Lazopoulos and R. Müller, The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO, JHEP 07 (2012) 115 [arXiv:1204.4415] [INSPIRE].
S. Marzani, R. D. Ball, V. Del Duca, S. Forte and A. Vicini, Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order, Nucl. Phys. B 800 (2008) 127 [arXiv:0801.2544] [INSPIRE].
R. V. Harlander and K. J. Ozeren, Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order, JHEP 11 (2009) 088 [arXiv:0909.3420] [INSPIRE].
R. V. Harlander, H. Mantler, S. Marzani and K. J. Ozeren, Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass, Eur. Phys. J. C 66 (2010) 359 [arXiv:0912.2104] [INSPIRE].
A. Pak, M. Rogal and M. Steinhauser, Finite top quark mass effects in NNLO Higgs boson production at LHC, JHEP 02 (2010) 025 [arXiv:0911.4662] [INSPIRE].
T. Neumann and M. Wiesemann, Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO, JHEP 11 (2014) 150 [arXiv:1408.6836] [INSPIRE].
S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO, Phys. Rev. Lett. 108 (2012) 072001 [Erratum ibid. 117 (2016) 089901] [arXiv:1110.2375] [INSPIRE].
J. M. Campbell, R. K. Ellis, Y. Li and C. Williams, Predictions for diphoton production at the LHC through NNLO in QCD, JHEP 07 (2016) 148 [arXiv:1603.02663] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and A. Torre, Zγ production at hadron colliders in NNLO QCD, Phys. Lett. B 731 (2014) 204 [arXiv:1309.7000] [INSPIRE].
M. Grazzini, S. Kallweit and D. Rathlev, Wγ and Zγ production at the LHC in NNLO QCD, JHEP 07 (2015) 085 [arXiv:1504.01330] [INSPIRE].
J. M. Campbell, T. Neumann and C. Williams, Zγ production at NNLO including anomalous couplings, JHEP 11 (2017) 150 [arXiv:1708.02925] [INSPIRE].
T. Gehrmann, N. Glover, A. Huss and J. Whitehead, Scale and isolation sensitivity of diphoton distributions at the LHC, JHEP 01 (2021) 108 [arXiv:2009.11310] [INSPIRE].
T. Gehrmann et al., W + W − production at hadron colliders in next to next to leading order QCD, Phys. Rev. Lett. 113 (2014) 212001 [arXiv:1408.5243] [INSPIRE].
M. Grazzini, S. Kallweit, S. Pozzorini, D. Rathlev and M. Wiesemann, W + W − production at the LHC: fiducial cross sections and distributions in NNLO QCD, JHEP 08 (2016) 140 [arXiv:1605.02716] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and M. Wiesemann, W ± Z production at hadron colliders in NNLO QCD, Phys. Lett. B 761 (2016) 179 [arXiv:1604.08576] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and M. Wiesemann, W ± Z production at the LHC: fiducial cross sections and distributions in NNLO QCD, JHEP 05 (2017) 139 [arXiv:1703.09065] [INSPIRE].
D. de Florian and J. Mazzitelli, Higgs boson pair production at next-to-next-to-leading order in QCD, Phys. Rev. Lett. 111 (2013) 201801 [arXiv:1309.6594] [INSPIRE].
D. de Florian et al., Differential Higgs boson pair production at next-to-next-to-leading Order in QCD, JHEP 09 (2016) 151 [arXiv:1606.09519] [INSPIRE].
M. Grazzini et al., Higgs boson pair production at NNLO with top quark mass effects, JHEP 05 (2018) 059 [arXiv:1803.02463] [INSPIRE].
J. Baglio, A. Djouadi, R. Gröber, M. M. Mühlleitner, J. Quevillon and M. Spira, The measurement of the Higgs self-coupling at the LHC: theoretical status, JHEP 04 (2013) 151 [arXiv:1212.5581] [INSPIRE].
H. T. Li and J. Wang, Fully differential Higgs pair production in association with a W boson at next-to-next-to-leading order in QCD, Phys. Lett. B 765 (2017) 265 [arXiv:1607.06382] [INSPIRE].
D. de Florian, I. Fabre and J. Mazzitelli, Triple Higgs production at hadron colliders at NNLO in QCD, JHEP 03 (2020) 155 [arXiv:1912.02760] [INSPIRE].
M. Czakon, R. V. Harlander, J. Klappert and M. Niggetiedt, Exact top-quark mass dependence in hadronic Higgs production, Phys. Rev. Lett. 127 (2021) 162002 [arXiv:2105.04436] [INSPIRE].
G. Heinrich, Collider physics at the precision frontier, Phys. Rept. 922 (2021) 1 [arXiv:2009.00516] [INSPIRE].
H. A. Chawdhry, M. L. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to three-photon production at the LHC, JHEP 02 (2020) 057 [arXiv:1911.00479] [INSPIRE].
S. Kallweit, V. Sotnikov and M. Wiesemann, Triphoton production at hadron colliders in NNLO QCD, Phys. Lett. B 812 (2021) 136013 [arXiv:2010.04681] [INSPIRE].
M. Czakon, A. Mitov and R. Poncelet, Next-to-next-to-leading order study of three-jet production at the LHC, Phys. Rev. Lett. 127 (2021) 152001 [arXiv:2106.05331] [INSPIRE].
H. A. Chawdhry, M. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to diphoton production with an additional jet at the LHC, JHEP 09 (2021) 093 [arXiv:2105.06940] [INSPIRE].
K. Hamilton, P. Nason, C. Oleari and G. Zanderighi, Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, JHEP 05 (2013) 082 [arXiv:1212.4504] [INSPIRE].
K. Hamilton, P. Nason, E. Re and G. Zanderighi, NNLOPS simulation of Higgs boson production, JHEP 10 (2013) 222 [arXiv:1309.0017] [INSPIRE].
A. Karlberg, E. Re and G. Zanderighi, NNLOPS accurate Drell-Yan production, JHEP 09 (2014) 134 [arXiv:1407.2940] [INSPIRE].
W. Astill, W. Bizon, E. Re and G. Zanderighi, NNLOPS accurate associated HW production, JHEP 06 (2016) 154 [arXiv:1603.01620] [INSPIRE].
W. Astill, W. Bizoń, E. Re and G. Zanderighi, NNLOPS accurate associated HZ production with H → \( b\overline{b} \) decay at NLO, JHEP 11 (2018) 157 [arXiv:1804.08141] [INSPIRE].
E. Re, M. Wiesemann and G. Zanderighi, NNLOPS accurate predictions for W + W − production, JHEP 12 (2018) 121 [arXiv:1805.09857] [INSPIRE].
S. Höche, Y. Li and S. Prestel, Higgs-boson production through gluon fusion at NNLO QCD with parton showers, Phys. Rev. D 90 (2014) 054011 [arXiv:1407.3773] [INSPIRE].
S. Höche, Y. Li and S. Prestel, Drell-Yan lepton pair production at NNLO QCD with parton showers, Phys. Rev. D 91 (2015) 074015 [arXiv:1405.3607] [INSPIRE].
S. Alioli et al., Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA, JHEP 09 (2013) 120 [arXiv:1211.7049] [INSPIRE].
S. Alioli, C. W. Bauer, C. Berggren, F. J. Tackmann, J. R. Walsh and S. Zuberi, Matching fully differential NNLO calculations and parton showers, JHEP 06 (2014) 089 [arXiv:1311.0286] [INSPIRE].
S. Alioli, C. W. Bauer, C. Berggren, F. J. Tackmann and J. R. Walsh, Drell-Yan production at NNLL’+NNLO matched to parton showers, Phys. Rev. D 92 (2015) 094020 [arXiv:1508.01475] [INSPIRE].
S. Alioli, A. Broggio, S. Kallweit, M. A. Lim and L. Rottoli, Higgsstrahlung at NNLL’+NNLO matched to parton showers in GENEVA, Phys. Rev. D 100 (2019) 096016 [arXiv:1909.02026] [INSPIRE].
S. Alioli et al., Precise predictions for photon pair production matched to parton showers in GENEVA, JHEP 04 (2021) 041 [arXiv:2010.10498] [INSPIRE].
S. Alioli et al., Resummed predictions for hadronic Higgs boson decays, JHEP 04 (2021) 254 [arXiv:2009.13533] [INSPIRE].
S. Alioli et al., Next-to-next-to-leading order event generation for Z boson pair production matched to parton shower, Phys. Lett. B 818 (2021) 136380 [arXiv:2103.01214] [INSPIRE].
T. Cridge, M. A. Lim and R. Nagar, Wγ production at NNLO+PS accuracy in GENEVA, arXiv:2105.13214 [INSPIRE].
S. Alioli et al., Matching NNLO predictions to parton showers using N3LL color-singlet transverse momentum resummation in geneva, Phys. Rev. D 104 (2021) 094020 [arXiv:2102.08390] [INSPIRE].
P. F. Monni, P. Nason, E. Re, M. Wiesemann and G. Zanderighi, MiNNLOPS: a new method to match NNLO QCD to parton showers, JHEP 05 (2020) 143 [arXiv:1908.06987] [INSPIRE].
P. F. Monni, E. Re and M. Wiesemann, MiNNLOP S : optimizing 2 → 1 hadronic processes, Eur. Phys. J. C 80 (2020) 1075 [arXiv:2006.04133] [INSPIRE].
D. Lombardi, M. Wiesemann and G. Zanderighi, Advancing MiNNLOPS to diboson processes: Zγ production at NNLO+PS, JHEP 06 (2021) [arXiv:2010.10478] [INSPIRE].
D. Lombardi, M. Wiesemann and G. Zanderighi, W + W − production at NNLO+PS with MINNLOPS, JHEP 11 (2021) 230 [arXiv:2103.12077] [INSPIRE].
J. Mazzitelli, P. F. Monni, P. Nason, E. Re, M. Wiesemann and G. Zanderighi, Next-to-next-to-leading order event generation for top-quark pair production, Phys. Rev. Lett. 127 (2021) 062001 [arXiv:2012.14267] [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].
T. Ježo and P. Nason, On the treatment of resonances in next-to-leading order calculations matched to a parton shower, JHEP 12 (2015) 065 [arXiv:1509.09071] [INSPIRE].
M. Grazzini, S. Kallweit and M. Wiesemann, Fully differential NNLO computations with MATRIX, Eur. Phys. J. C 78 (2018) 537 [arXiv:1711.06631] [INSPIRE].
P. Nason and G. Ridolfi, A positive-weight next-to-leading-order Monte Carlo for Z pair hadroproduction, JHEP 08 (2006) 077 [hep-ph/0606275] [INSPIRE].
F. Cascioli, P. Maierhofer and S. Pozzorini, Scattering amplitudes with open loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [INSPIRE].
F. Buccioni, S. Pozzorini and M. Zoller, On-the-fly reduction of open loops, Eur. Phys. J. C 78 (2018) 70 [arXiv:1710.11452] [INSPIRE].
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [INSPIRE].
T. Gehrmann, A. von Manteuffel and L. Tancredi, The VVamp project, available at http://vvamp.hepforge.org.
T. Gehrmann, A. von Manteuffel and L. Tancredi, The two-loop helicity amplitudes for \( q{\overline{q}}^{\prime } \) → V1V2 → 4 leptons, JHEP 09 (2015) 128 [arXiv:1503.04812] [INSPIRE].
G. P. Salam and J. Rojo, A Higher Order Perturbative Parton Evolution Toolkit (HOPPET), Comput. Phys. Commun. 180 (2009) 120 [arXiv:0804.3755] [INSPIRE].
T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms, Comput. Phys. Commun. 141 (2001) 296 [hep-ph/0107173] [INSPIRE].
P. Nason and C. Oleari, Generation cuts and Born suppression in POWHEG, arXiv:1303.3922 [INSPIRE].
T. Ježo, J. M. Lindert, P. Nason, C. Oleari and S. Pozzorini, An NLO+PS generator for \( t\overline{t} \) and Wt production and decay including non-resonant and interference effects, Eur. Phys. J. C 76 (2016) 691 [arXiv:1607.04538] [INSPIRE].
A. von Manteuffel and L. Tancredi, The two-loop helicity amplitudes for gg → V1V2 → 4 leptons, JHEP 06 (2015) 197 [arXiv:1503.08835] [INSPIRE].
B. Agarwal, S. P. Jones and A. von Manteuffel, Two-loop helicity amplitudes for gg → ZZ with full top-quark mass effects, JHEP 05 (2021) 256 [arXiv:2011.15113] [INSPIRE].
C. Brønnum-Hansen and C.-Y. Wang, Top quark contribution to two-loop helicity amplitudes for Z boson pair production in gluon fusion, JHEP 05 (2021) 244 [arXiv:2101.12095] [INSPIRE].
T. Sjöstrand et al., An introduction to PYTHIA 8.2, Comput. Phys. Commun. 191 (2015) 159 [arXiv:1410.3012] [INSPIRE].
ATLAS collaboration, ATLAS PYTHIA 8 tunes to 7 TeV data, ATL-PHYS-PUB-2014-021 (2014).
F. Cascioli, S. Höche, F. Krauss, P. Maierhöfer, S. Pozzorini and F. Siegert, Precise Higgs-background predictions: merging NLO QCD and squared quark-loop corrections to four-lepton + 0, 1 jet production, JHEP 01 (2014) 046 [arXiv:1309.0500] [INSPIRE].
J. M. Campbell, R. K. Ellis, E. Furlan and R. Röntsch, Interference effects for Higgs boson mediated Z -pair plus jet production, Phys. Rev. D 90 (2014) 093008 [arXiv:1409.1897] [INSPIRE].
C. Li, Y. An, C. Charlot, R. Covarelli, Z. Guan and Q. Li, Loop-induced ZZ production at the LHC: An improved description by matrix-element matching, Phys. Rev. D 102 (2020) 116003 [arXiv:2006.12860] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and D. Wackeroth, Predictions for all processes e+ e− → 4 fermions + γ, Nucl. Phys. B 560 (1999) 33 [hep-ph/9904472] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, PTEP 2020 (2020) 083C01 [INSPIRE].
A. Buckley et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
A. Manohar, P. Nason, G. P. Salam and G. Zanderighi, How bright is the proton? A precise determination of the photon parton distribution function, Phys. Rev. Lett. 117 (2016) 242002 [arXiv:1607.04266] [INSPIRE].
A. V. Manohar, P. Nason, G. P. Salam and G. Zanderighi, The photon content of the proton, JHEP 12 (2017) 046 [arXiv:1708.01256] [INSPIRE].
NNPDF collaboration, Illuminating the photon content of the proton within a global PDF analysis, SciPost Phys. 5 (2018) 008 [arXiv:1712.07053] [INSPIRE].
M. Czakon, D. Heymes and A. Mitov, Dynamical scales for multi-TeV top-pair production at the LHC, JHEP 04 (2017) 071 [arXiv:1606.03350] [INSPIRE].
F. Caola, F. A. Dreyer, R. W. McDonald and G. P. Salam, Framing energetic top-quark pair production at the LHC, JHEP 07 (2021) 040 [arXiv:2101.06068] [INSPIRE].
M. Cacciari, G. P. Salam and G. Soyez, The anti-kt jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
M. Cacciari, G. P. Salam and G. Soyez, FastJet user manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].
S. Kallweit, E. Re, L. Rottoli and M. Wiesemann, Accurate single- and double-differential resummation of colour-singlet processes with MATRIX+RADISH: W + W − production at the LHC, JHEP 12 (2020) 147 [arXiv:2004.07720] [INSPIRE].
P. F. Monni, E. Re and P. Torrielli, Higgs transverse-momentum resummation in direct space, Phys. Rev. Lett. 116 (2016) 242001 [arXiv:1604.02191] [INSPIRE].
W. Bizon, P. F. Monni, E. Re, L. Rottoli and P. Torrielli, Momentum-space resummation for transverse observables and the Higgs p⊥ at N3 LL+NNLO, JHEP 02 (2018) 108 [arXiv:1705.09127] [INSPIRE].
\S. Bräuer, A. Denner, M. Pellen, M. Schönherr and S. Schumann, Fixed-order and merged parton-shower predictions for WW and WWj production at the LHC including NLO QCD and EW corrections, JHEP 10 (2020) 159 [arXiv:2005.12128] [INSPIRE].
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Buonocore, L., Koole, G., Lombardi, D. et al. ZZ production at nNNLO+PS with MiNNLOPS. J. High Energ. Phys. 2022, 72 (2022). https://doi.org/10.1007/JHEP01(2022)072
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DOI: https://doi.org/10.1007/JHEP01(2022)072