Abstract
Measuring the polarization of electroweak bosons at the LHC allows for important tests of the electroweak-symmetry-breaking mechanism that is realized in nature. Therefore, precise Standard Model predictions are needed for the production of polarized bosons in the presence of realistic kinematic selections. We formulate a method for the calculation of polarized cross-sections at NLO that relies on the pole approximation and the separation of polarized matrix elements at the amplitude level. In this framework, we compute NLO-accurate cross-sections for the production of two polarized Z bosons at the LHC, including for the first time NLO EW corrections and combining them with NLO QCD corrections and contributions from the gluon-induced process.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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, Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state, Phys. Lett. B 775 (2017) 1 [arXiv:1707.00541] [INSPIRE].
ATLAS collaboration, Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4ℓ decay channel at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 80 (2020) 942 [arXiv:2004.03969] [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].
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, 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 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].
ATLAS collaboration, Measurement of the four-lepton invariant mass spectrum in 13 TeV proton-proton collisions with the ATLAS detector, JHEP 04 (2019) 048 [arXiv:1902.05892] [INSPIRE].
ATLAS collaboration, Measurements of differential cross-sections in four-lepton events in 13 TeV proton-proton collisions with the ATLAS detector, JHEP 07 (2021) 005 [arXiv:2103.01918] [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 αs 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].
L. J. Dixon, Z. Kunszt and A. Signer, Vector boson pair production in hadronic collisions at order αs: Lepton correlations and anomalous couplings, Phys. Rev. D 60 (1999) 114037 [hep-ph/9907305] [INSPIRE].
E. Accomando, A. Denner and A. Kaiser, Logarithmic electroweak corrections to gauge-boson pair production at the LHC, Nucl. Phys. B 706 (2005) 325 [hep-ph/0409247] [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].
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. Jäger, Next-to-leading-order electroweak corrections to the production of four charged leptons at the LHC, JHEP 01 (2017) 033 [arXiv:1611.05338] [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].
S. Kallweit, J. M. Lindert, S. Pozzorini and M. Schönherr, NLO QCD+EW predictions for 2f2ν diboson signatures at the LHC, JHEP 11 (2017) 120 [arXiv:1705.00598] [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].
F. Cascioli et al., ZZ production at hadron colliders in NNLO QCD, Phys. Lett. B 735 (2014) 311 [arXiv:1405.2219] [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].
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].
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].
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].
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].
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].
T. Melia, P. Nason, R. Röntsch 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].
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].
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].
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].
A. Soni and R. M. Xu, Probing CP-violation via Higgs decays to four leptons, Phys. Rev. D 48 (1993) 5259 [hep-ph/9301225] [INSPIRE].
D. Chang, W.-Y. Keung and I. Phillips, CP-odd correlation in the decay of neutral Higgs boson into ZZ , W + W − , or \( t\overline{t} \), Phys. Rev. D 48 (1993) 3225 [hep-ph/9303226] [INSPIRE].
A. Skjold and P. Osland, Angular and energy correlations in Higgs decay, Phys. Lett. B 311 (1993) 261 [hep-ph/9303294] [INSPIRE].
T. Arens and L. M. Sehgal, Energy spectra and energy correlations in the decay H → Z Z → μ+ μ− μ+ μ− , Z. Phys. C 66 (1995) 89 [hep-ph/9409396] [INSPIRE].
C. P. Buszello, I. Fleck, P. Marquard and J. J. van der Bij, Prospective analysis of spin- and CP-sensitive variables in H → Z Z → \( {l}_1^{+}{l}_1^{-}{l}_2^{+}{l}_2^{-} \) at the LHC, Eur. Phys. J. C 32 (2004) 209 [hep-ph/0212396] [INSPIRE].
S. Y. Choi, D. J. Miller, M. M. Mühlleitner and P. M. Zerwas, Identifying the Higgs spin and parity in decays to Z pairs, Phys. Lett. B 553 (2003) 61 [hep-ph/0210077] [INSPIRE].
S. Berge, S. Groote, J. G. Körner and L. Kaldamäe, Lepton-mass effects in the decays H → Z Z ∗ → ℓ+ ℓ− τ + τ − and H → W W ∗ → ℓντντ, Phys. Rev. D 92 (2015) 033001 [arXiv:1505.06568] [INSPIRE].
K. Hagiwara, Q. Li and K. Mawatari, Jet angular correlation in vector-boson fusion processes at hadron colliders, JHEP 07 (2009) 101 [arXiv:0905.4314] [INSPIRE].
Y. Gao, A. V. Gritsan, Z. Guo, K. Melnikov, M. Schulze and N. V. Tran, Spin Determination of Single-Produced Resonances at Hadron Colliders, Phys. Rev. D 81 (2010) 075022 [arXiv:1001.3396] [INSPIRE].
S. Bolognesi et al., On the spin and parity of a single-produced resonance at the LHC, Phys. Rev. D 86 (2012) 095031 [arXiv:1208.4018] [INSPIRE].
CMS collaboration, Measurements of properties of the Higgs boson decaying into the four-lepton final state in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 11 (2017) 047 [arXiv:1706.09936] [INSPIRE].
ATLAS collaboration, Measurement of the Higgs boson coupling properties in the H → Z Z ∗ → 4ℓ decay channel at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 03 (2018) 095 [arXiv:1712.02304] [INSPIRE].
ATLAS collaboration, Measurement of inclusive and differential cross sections in the H → Z Z ∗ → 4ℓ decay channel in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 10 (2017) 132 [arXiv:1708.02810] [INSPIRE].
ATLAS collaboration, Higgs boson production cross-section measurements and their EFT interpretation in the 4ℓ decay channel at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 80 (2020) 957 [Erratum ibid. 81 (2021) 29] [Erratum ibid. 81 (2021) 398] [arXiv:2004.03447] [INSPIRE].
L. S. Bruni, Polarized on Higgs? Measurement of the Higgs couplings to polarized vector bosons, Ph.D. thesis, Twente University, Enschede (2019) DOI [INSPIRE].
E. Maina, Vector boson polarizations in the decay of the Standard Model Higgs, Phys. Lett. B 818 (2021) 136360 [arXiv:2007.12080] [INSPIRE].
E. Maina and G. Pelliccioli, Polarized Z bosons from the decay of a Higgs boson produced in association with two jets at the LHC, arXiv:2105.07972 [INSPIRE].
CMS collaboration, Measurement of the Polarization of W Bosons with Large Transverse Momenta in W+Jets Events at the LHC, Phys. Rev. Lett. 107 (2011) 021802 [arXiv:1104.3829] [INSPIRE].
ATLAS collaboration, Measurement of the polarisation of W bosons produced with large transverse momentum in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS experiment, Eur. Phys. J. C 72 (2012) 2001 [arXiv:1203.2165] [INSPIRE].
CMS collaboration, Angular coefficients of Z bosons produced in pp collisions at \( \sqrt{s} \) = 8 TeV and decaying to μ+ μ− as a function of transverse momentum and rapidity, Phys. Lett. B 750 (2015) 154 [arXiv:1504.03512] [INSPIRE].
ATLAS collaboration, Measurement of the angular coefficients in Z -boson events using electron and muon pairs from data taken at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, JHEP 08 (2016) 159 [arXiv:1606.00689] [INSPIRE].
ATLAS collaboration, Measurement of the W boson polarisation in \( t\overline{t} \) events from pp collisions at \( \sqrt{s} \) = 8 TeV in the lepton + jets channel with ATLAS, Eur. Phys. J. C 77 (2017) 264 [Erratum ibid. 79 (2019) 19] [arXiv:1612.02577] [INSPIRE].
CMS collaboration, Measurement of the W boson helicity fractions in the decays of top quark pairs to lepton + jets final states produced in pp collisions at \( \sqrt{s} \) = 8 TeV, Phys. Lett. B 762 (2016) 512 [arXiv:1605.09047] [INSPIRE].
CMS and ATLAS collaborations, Combination of the W boson polarization measurements in top quark decays using ATLAS and CMS data at \( \sqrt{s} \) = 8 TeV, JHEP 08 (2020) 051 [arXiv:2005.03799] [INSPIRE].
ATLAS collaboration, Measurement of W ± Z production cross sections and gauge boson polarisation in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 79 (2019) 535 [arXiv:1902.05759] [INSPIRE].
CMS collaboration, Measurements of production cross sections of polarized same-sign W boson pairs in association with two jets in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 812 (2021) 136018 [arXiv:2009.09429] [INSPIRE].
CMS collaboration, Vector Boson Scattering prospective studies in the ZZ fully leptonic decay channel for the High-Luminosity and High-Energy LHC upgrades, Tech. Rep. CMS-PAS-FTR-18-014, CERN, Geneva (2018).
P. Azzi et al., Report from Working Group 1 : Standard Model Physics at the HL-LHC and HE-LHC, in Report on the Physics at the HL-LHC,and Perspectives for the HE-LHC, A. Dainese, M. Mangano, A. B. Meyer, A. Nisati, G. Salam and M. A. Vesterinen eds., CERN Yellow Rep. Monogr. 7 (2019) 1 [arXiv:1902.04070] [INSPIRE].
Z. Bern et al., Left-Handed W Bosons at the LHC, Phys. Rev. D 84 (2011) 034008 [arXiv:1103.5445] [INSPIRE].
W. J. Stirling and E. Vryonidou, Electroweak gauge boson polarisation at the LHC, JHEP 07 (2012) 124 [arXiv:1204.6427] [INSPIRE].
A. Belyaev and D. Ross, What Does the CMS Measurement of W-polarization Tell Us about the Underlying Theory of the Coupling of W-Bosons to Matter?, JHEP 08 (2013) 120 [arXiv:1303.3297] [INSPIRE].
J. Baglio and N. Le Duc, Fiducial polarization observables in hadronic WZ production: A next-to-leading order QCD+EW study, JHEP 04 (2019) 065 [arXiv:1810.11034] [INSPIRE].
J. Baglio and L. D. Ninh, Polarization observables in WZ production at the 13 TeV LHC: Inclusive case, Commun. in Phys. 30 (2020) 35 [arXiv:1910.13746] [INSPIRE].
A. Ballestrero, E. Maina and G. Pelliccioli, W boson polarization in vector boson scattering at the LHC, JHEP 03 (2018) 170 [arXiv:1710.09339] [INSPIRE].
A. Ballestrero, E. Maina and G. Pelliccioli, Polarized vector boson scattering in the fully leptonic WZ and ZZ channels at the LHC, JHEP 09 (2019) 087 [arXiv:1907.04722] [INSPIRE].
A. Ballestrero, E. Maina and G. Pelliccioli, Different polarization definitions in same-sign W W scattering at the LHC, Phys. Lett. B 811 (2020) 135856 [arXiv:2007.07133] [INSPIRE].
A. Ballestrero, A. Belhouari, G. Bevilacqua, V. Kashkan and E. Maina, PHANTOM: A Monte Carlo event generator for six parton final states at high energy colliders, Comput. Phys. Commun. 180 (2009) 401 [arXiv:0801.3359] [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].
C. F. Uhlemann and N. Kauer, Narrow-width approximation accuracy, Nucl. Phys. B 814 (2009) 195 [arXiv:0807.4112] [INSPIRE].
P. Artoisenet, R. Frederix, O. Mattelaer and R. Rietkerk, Automatic spin-entangled decays of heavy resonances in Monte Carlo simulations, JHEP 03 (2013) 015 [arXiv:1212.3460] [INSPIRE].
D. Buarque Franzosi, O. Mattelaer, R. Ruiz and S. Shil, Automated predictions from polarized matrix elements, JHEP 04 (2020) 082 [arXiv:1912.01725] [INSPIRE].
A. Denner and G. Pelliccioli, Polarized electroweak bosons in W+ W− production at the LHC including NLO QCD effects, JHEP 09 (2020) 164 [arXiv:2006.14867] [INSPIRE].
A. Denner and G. Pelliccioli, NLO QCD predictions for doubly-polarized WZ production at the LHC, Phys. Lett. B 814 (2021) 136107 [arXiv:2010.07149] [INSPIRE].
R. Poncelet and A. Popescu, NNLO QCD study of polarised W+ W− production at the LHC, JHEP 07 (2021) 023 [arXiv:2102.13583] [INSPIRE].
D. Y. Bardin, A. Leike, T. Riemann and M. Sachwitz, Energy Dependent Width Effects in e+ e− Annihilation Near the Z Boson Pole, Phys. Lett. B 206 (1988) 539 [INSPIRE].
R. G. Stuart, General renormalization of the gauge invariant perturbation expansion near the Z 0 resonance, Phys. Lett. B 272 (1991) 353 [INSPIRE].
R. G. Stuart, Gauge invariance, analyticity and physical observables at the Z 0 resonance, Phys. Lett. B 262 (1991) 113 [INSPIRE].
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 [Erratum ibid. 854 (2012) 504] [hep-ph/0505042] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and D. Wackeroth, Electroweak radiative corrections to e+ e− → W W → 4 fermions in double-pole approximation: The RACOONWW approach, Nucl. Phys. B 587 (2000) 67 [hep-ph/0006307] [INSPIRE].
A. Denner and S. Dittmaier, Electroweak Radiative Corrections for Collider Physics, Phys. Rept. 864 (2020) 1 [arXiv:1912.06823] [INSPIRE].
A. Denner, S. Dittmaier and M. Roth, Non-factorizable photonic corrections to e+ e− → W W → four fermions, Nucl. Phys. B 519 (1998) 39 [hep-ph/9710521] [INSPIRE].
W. Beenakker, A. P. Chapovsky and F. A. Berends, Nonfactorizable corrections to W pair production: Methods and analytic results, Nucl. Phys. B 508 (1997) 17 [hep-ph/9707326] [INSPIRE].
S. Dittmaier and C. Schwan, Non-factorizable photonic corrections to resonant production and decay of many unstable particles, Eur. Phys. J. C 76 (2016) 144 [arXiv:1511.01698] [INSPIRE].
S. Catani and M. H. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. 510 (1998) 503] [hep-ph/9605323] [INSPIRE].
S. Dittmaier, A general approach to photon radiation off fermions, Nucl. Phys. B 565 (2000) 69 [hep-ph/9904440] [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].
A. Denner, J.-N. Lang and M. Pellen, Full NLO QCD corrections to off-shell \( t\overline{t}b\overline{b} \) production, Phys. Rev. D 104 (2021) 056018 [arXiv:2008.00918] [INSPIRE].
J. M. Cornwall, D. N. Levin and G. Tiktopoulos, Derivation of Gauge Invariance from High-Energy Unitarity Bounds on the S Matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. 11 (1975) 972] [INSPIRE].
C. E. Vayonakis, Born Helicity Amplitudes and Cross-Sections in Nonabelian Gauge Theories, Lett. Nuovo Cim. 17 (1976) 383 [INSPIRE].
M. S. Chanowitz and M. K. Gaillard, The TeV Physics of Strongly Interacting W’s and Z’s, Nucl. Phys. B 261 (1985) 379 [INSPIRE].
G. J. Gounaris, R. Kögerler and H. Neufeld, Relationship Between Longitudinally Polarized Vector Bosons and their Unphysical Scalar Partners, Phys. Rev. D 34 (1986) 3257 [INSPIRE].
M. J. Duncan, Higgs detection via Z 0 polarization, Phys. Lett. B 179 (1986) 393 [INSPIRE].
S. S. D. Willenbrock, Pair Production of W and Z Bosons and the Goldstone Boson Equivalence Theorem, Annals Phys. 186 (1988) 15 [INSPIRE].
S. Actis, A. Denner, L. Hofer, A. Scharf and S. Uccirati, Recursive generation of one-loop amplitudes in the Standard Model, JHEP 04 (2013) 037 [arXiv:1211.6316] [INSPIRE].
S. Actis, A. Denner, L. Hofer, J.-N. Lang, A. Scharf and S. Uccirati, RECOLA: REcursive Computation of One-Loop Amplitudes, Comput. Phys. Commun. 214 (2017) 140 [arXiv:1605.01090] [INSPIRE].
A. Denner, S. Dittmaier and L. Hofer, Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations, Comput. Phys. Commun. 212 (2017) 220 [arXiv:1604.06792] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
A. Denner and S. Dittmaier, The complex-mass scheme for perturbative calculations with unstable particles, Nucl. Phys. B Proc. Suppl. 160 (2006) 22 [hep-ph/0605312] [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].
NNPDF collaboration, Parton distributions from high-precision collider data, Eur. Phys. J. C 77 (2017) 663 [arXiv:1706.00428] [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. Cacciari, G. P. Salam and G. Soyez, The anti-kt jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [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 [Erratum ibid. 62 (2000) 099902] [hep-ph/9806317] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2107.06579
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Denner, A., Pelliccioli, G. NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC. J. High Energ. Phys. 2021, 97 (2021). https://doi.org/10.1007/JHEP10(2021)097
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2021)097