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-odd form factor in the vertex
Phys. Rev. D 114, 053007 – Published 9 September, 2026
DOI: https://doi.org/10.1103/9j15-s9tt
Abstract
We revisit the -odd form factor in the vertex within the Standard Model, which is induced only at the one-loop level when one of the bosons is off-shell. To the best of our knowledge, the numerical evaluation of this form factor is presented for the first time. The relevant contributions from quark loops are of order , well below the current experimental sensitivity. The phenomenological implications are studied through asymmetries in unpolarized and polarized observables in three-body decays.
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References (141)
- F. Englert and R. Brout, Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett. 13, 321 (1964).
- P. W. Higgs, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett. 13, 508 (1964).
- G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble, Global conservation laws and massless particles, Phys. Rev. Lett. 13, 585 (1964).
- S. Chatrchyan et al. (CMS Collaboration), Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716, 30 (2012).
- G. Aad et al. (ATLAS Collaboration), Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716, 1 (2012).
- G. Aad et al. (ATLAS Collaboration), A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery, Nature (London) 607, 52 (2022); 612, E24(E) (2022).
- A. Tumasyan et al. (CMS Collaboration), A portrait of the Higgs boson by the CMS experiment ten years after the discovery, Nature (London) 607, 60 (2022); 623, E4(E) (2023).
- A. Tumasyan et al. (CMS Collaboration), Search for Higgs boson decays to a boson and a photon in proton-proton collisions at , J. High Energy Phys. 05 (2023) 233.
- G. Aad et al. (ATLAS Collaboration and CMS Collaboration), Evidence for the Higgs boson decay to a boson and a photon at the LHC, Phys. Rev. Lett. 132, 021803 (2024).
- A. Tumasyan et al. (CMS Collaboration), Measurement of the Higgs boson width and evidence of its off-shell contributions to production, Nat. Phys. 18, 1329 (2022).
- G. Aad et al. (ATLAS Collaboration), Evidence of off-shell Higgs boson production from leptonic decay channels and constraints on its total width with the ATLAS detector, Phys. Lett. B 846, 138223 (2023); 854, 138734(E) (2024).
- B. W. Lee, C. Quigg, and H. B. Thacker, Weak interactions at very high-energies: The role of the Higgs boson mass, Phys. Rev. D 16, 1519 (1977).
- T. G. Rizzo, Decays of heavy Higgs bosons, Phys. Rev. D 22, 722 (1980).
- J. Fleischer, Radiative corrections to Higgs-Boson decays in the Weinberg-Salam model, Phys. Rev. D 23, 2001 (1981).
- A. Bredenstein, A. Denner, S. Dittmaier, and M. M. Weber, Precise predictions for the Higgs-boson decay leptons, Phys. Rev. D 74, 013004 (2006).
- A. Bredenstein, A. Denner, S. Dittmaier, and M. M. Weber, Precision calculations for the Higgs decays leptons, Nucl. Phys. B, Proc. Suppl. 160, 131 (2006).
- A. Bredenstein, A. Denner, S. Dittmaier, and M. M. Weber, Radiative corrections to the semileptonic and hadronic Higgs-boson decays fermions, J. High Energy Phys. 02 (2007) 080.
- D. Huang, A. P. Morais, and R. Santos, violating coupling in the Standard Model and beyond, J. High Energy Phys. 01 (2021) 168.
- S. Chatrchyan et al. (CMS Collaboration), Observation of a new boson with mass near 125 GeV in collisions at and 8 TeV, J. High Energy Phys. 06 (2013) 081.
- G. Aad et al. (ATLAS Collaboration), Observation and measurement of Higgs boson decays to with the ATLAS detector, Phys. Rev. D 92, 012006 (2015).
- G. Aad et al. (ATLAS Collaboration and CMS Collaboration), Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC collision data at and 8 TeV, J. High Energy Phys. 08 (2016) 045.
- A. M. Sirunyan et al. (CMS Collaboration), Measurements of properties of the Higgs boson decaying to a boson pair in pp collisions at , Phys. Lett. B 791, 96 (2019).
- M. Aaboud et al. (ATLAS Collaboration), Measurements of gluon-gluon fusion and vector-boson fusion Higgs boson production cross-sections in the decay channel in collisions at with the ATLAS detector, Phys. Lett. B 789, 508 (2019).
- G. Aad et al. (ATLAS Collaboration), Constraints on Higgs boson properties using production in of collisions with the ATLAS detector, Eur. Phys. J. C 82, 622 (2022).
- G. Aad et al. (ATLAS Collaboration), Measurements of Higgs boson production by gluon-gluon fusion and vector-boson fusion using decays in collisions at with the ATLAS detector, Phys. Rev. D 108, 032005 (2023).
- A. Tumasyan et al. (CMS Collaboration), Measurements of the Higgs boson production cross section and couplings in the boson pair decay channel in proton-proton collisions at , Eur. Phys. J. C 83, 667 (2023).
- G. Aad et al. (ATLAS Collaboration), Integrated and differential fiducial cross-section measurements for the vector boson fusion production of the Higgs boson in the decay channel at with the ATLAS detector, Phys. Rev. D 108, 072003 (2023).
- G. Aad et al. (ATLAS Collaboration), Measurements of Higgs boson production via gluon-gluon fusion and vector-boson fusion using decays in collisions with the ATLAS detector and their effective field theory interpretations, Eur. Phys. J. C 85, 1403 (2025).
- B. A. Kniehl, Radiative corrections for () in the standard model, Nucl. Phys. B357, 439 (1991).
- B. A. Kniehl, Higgs phenomenology at one loop in the standard model, Phys. Rep. 240, 211 (1994).
- K. H. Phan, D. T. Tran, and A. T. Nguyen, One-loop formulas for off-shell decay in ’t Hooft-Veltman gauge and its applications, Commun. Phys. 33, 235 (2023).
- S. Dawson and P. P. Giardino, Electroweak corrections to Higgs boson decays to and in standard model EFT, Phys. Rev. D 98, 095005 (2018).
- G. Ria and D. Meloni, Radiative corrections of heavy scalar decays to gauge bosons in the singlet extension of the Standard Model, Eur. Phys. J. C 78, 270 (2018).
- W. Hollik and J.-H. Zhang, Radiative corrections to in the MSSM, Phys. Rev. D 84, 055022 (2011).
- F. Domingo, S. Heinemeyer, S. Paßehr, and G. Weiglein, Decays of the neutral Higgs bosons into SM fermions and gauge bosons in the -violating NMSSM, Eur. Phys. J. C 78, 942 (2018).
- A. Ilakovac, B. A. Kniehl, and A. Pilaftsis, violation induced by heavy Majorana neutrinos in the decays of Higgs scalars into top quark, and boson pairs, Phys. Lett. B 317, 609 (1993).
- S. Kanemura, M. Kikuchi, K. Sakurai, and K. Yagyu, h-coup: A program for one-loop corrected Higgs boson couplings in non-minimal Higgs sectors, Comput. Phys. Commun. 233, 134 (2018).
- A. Djouadi, J. Kalinowski, and M. Spira, HDECAY: A Program for Higgs boson decays in the standard model and its supersymmetric extension, Comput. Phys. Commun. 108, 56 (1998).
- V. D. Barger, K.-m. Cheung, A. Djouadi, B. A. Kniehl, and P. M. Zerwas, Higgs bosons: Intermediate mass range at colliders, Phys. Rev. D 49, 79 (1994).
- M. Dittmar and H. K. Dreiner, How to find a Higgs boson with a mass between 155-GeV—180-GeV at the LHC, Phys. Rev. D 55, 167 (1997).
- S. Moretti, Single top production in the t channel and Higgs signals via at the Large Hadron Collider, Phys. Rev. D 56, 7427 (1997).
- P. M. Zerwas, Higgs physics and electroweak symmetry breaking, Acta Phys. Pol. B 30, 1871 (1999), https://www.actaphys.uj.edu.pl/R/30/6/1871/pdf.
- B. A. Kniehl, C. P. Palisoc, and A. Sirlin, Higgs boson production and decay close to thresholds, Nucl. Phys. B591, 296 (2000).
- T. Han and J. Jiang, violating coupling at linear colliders, Phys. Rev. D 63, 096007 (2001).
- A. Djouadi, The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model, Phys. Rep. 457, 1 (2008).
- S. Dutta, K. Hagiwara, and Y. Matsumoto, Measuring the Higgs-Vector boson Couplings at Linear Collider, Phys. Rev. D 78, 115016 (2008).
- S.-S. Bao, Y. Tang, and Y.-L. Wu, associated production at LHC in the general 2HDM with Spontaneous Violation, Phys. Rev. D 83, 075006 (2011).
- E. Massó and V. Sanz, Limits on anomalous couplings of the Higgs boson to electroweak gauge bosons from LEP and the LHC, Phys. Rev. D 87, 033001 (2013).
- P. Gonzalez, S. Palmer, M. Wiebusch, and K. Williams, Heavy MSSM Higgs production at the LHC and decays to at higher orders, Eur. Phys. J. C 73, 2367 (2013).
- S. Banerjee, T. Mandal, B. Mellado, and B. Mukhopadhyaya, Cornering dimension-6 interactions at high luminosity LHC: the role of event ratios, J. High Energy Phys. 09 (2015) 057.
- J. Brehmer, S. Dawson, S. Homiller, F. Kling, and T. Plehn, Benchmarking simplified template cross sections in production, J. High Energy Phys. 11 (2019) 034.
- P. Sharma and A. Shivaji, Probing non-standard couplings in single Higgs production at future electron-proton collider, J. High Energy Phys. 10 (2022) 108.
- C. Ma, Y. Wang, X. Xu, L. L. Yang, and B. Zhou, Mixed QCD-EW corrections for Higgs leptonic decay via vertex, J. High Energy Phys. 09 (2021) 114.
- D. Gonçalves, A. Kaladharan, and A. Navarro, Higher-order corrections to quantum observables in , J. High Energy Phys. 11 (2025) 158.
- H. Novales-Sánchez, E. Ramírez, M. Salinas, and H. Vázquez-Castro, anomalous couplings at one loop from a seesaw variant of radiatively-induced neutrino masses, J. High Energy Phys. 11 (2025) 009.
- R. Colyer and D. Duda, Proposed measurement of longitudinally polarised vector bosons in and production at Hadron colliders, arXiv:2506.13002.
- A. I. Hernández-Juárez, G. Tavares-Velasco, and A. Fernández-Téllez, New evaluation of the HZZ coupling: Direct bounds on anomalous contributions and -violating effects via a new asymmetry, Phys. Rev. D 107, 115031 (2023).
- A. Soni and R. M. Xu, Probing violation via Higgs decays to four leptons, Phys. Rev. D 48, 5259 (1993).
- J. Montano, F. Ramirez-Zavaleta, G. Tavares-Velasco, and J. J. Toscano, Electric dipole and magnetic quadrupole moments of the W boson via a -violating vertex in effective Lagrangians, Phys. Rev. D 72, 115009 (2005).
- Y. Takubo, R. N. Hodgkinson, K. Ikematsu, K. Fujii, N. Okada, and H. Yamamoto, Measuring anomalous couplings in decays at the International Linear Collider, Phys. Rev. D 88, 013010 (2013).
- N. Desai, D. K. Ghosh, and B. Mukhopadhyaya, -violating couplings at the Large Hadron Collider, Phys. Rev. D 83, 113004 (2011).
- S. S. Biswal, R. M. Godbole, B. Mellado, and S. Raychaudhuri, Azimuthal angle probe of anomalous couplings at a high energy collider, Phys. Rev. Lett. 109, 261801 (2012).
- I. Anderson et al., Constraining anomalous interactions at proton and lepton colliders, Phys. Rev. D 89, 035007 (2014).
- R. Godbole, D. J. Miller, K. Mohan, and C. D. White, Boosting Higgs properties via VH production at the large hadron collider, Phys. Lett. B 730, 275 (2014).
- S. Dwivedi, D. K. Ghosh, B. Mukhopadhyaya, and A. Shivaji, Constraints on -violating gauge-Higgs operators, Phys. Rev. D 92, 095015 (2015).
- F. Ferreira, B. Fuks, V. Sanz, and D. Sengupta, Probing -violating Higgs and gauge-boson couplings in the Standard Model effective field theory, Eur. Phys. J. C 77, 675 (2017).
- J. Nakamura, Polarisations of the and bosons in the processes and , J. High Energy Phys. 08 (2017) 008.
- K. Rao and S. D. Rindani, W boson polarization as a measure of gauge-Higgs anomalous couplings at the LHC, Nucl. Phys. B940, 78 (2019).
- A. N. Rossia and E. Vryonidou, -odd effects at NLO in SMEFT and production, J. High Energy Phys. 11 (2024) 142.
- B. Das, P. Sharma, and A. Shivaji, NLO QCD effects on angular observables in in presence of non-standard couplings, Eur. Phys. J. C 86, 197 (2026).
- M. Silva, R. Barrué, I. Ochoa, and P. Conde Muíño, Searching for anomalous couplings with simulation-based inference, Phys. Rev. D 113, 056011 (2026).
- B. A. Kniehl, Theoretical aspects of standard model Higgs boson physics at a future linear collider, Int. J. Mod. Phys. A 17, 1457 (2002).
- S. S. Biswal, R. M. Godbole, R. K. Singh, and D. Choudhury, Signatures of anomalous VVH interactions at a linear collider, Phys. Rev. D 73, 035001 (2006); 74, 039904(E) (2006).
- D. Choudhury and Mamta, Anomalous Higgs couplings at an collider, Phys. Rev. D 74, 115019 (2006).
- S. S. Biswal, D. Choudhury, R. M. Godbole, and Mamta, Role of polarization in probing anomalous gauge interactions of the Higgs boson, Phys. Rev. D 79, 035012 (2009).
- S. S. Biswal and R. M. Godbole, Use of transverse beam polarization to probe anomalous VVH interactions at a Linear Collider, Phys. Lett. B 680, 81 (2009).
- R. M. Godbole, D. J. Miller, and M. M. Muhlleitner, Aspects of violation in the H ZZ coupling at the LHC, J. High Energy Phys. 12 (2007) 031.
- D. Binosi and L. Theußl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams, Comput. Phys. Commun. 161, 76 (2004).
- T. Hahn, Generating Feynman diagrams and amplitudes with feynarts 3, Comput. Phys. Commun. 140, 418 (2001).
- R. Mertig, M. Bohm, and A. Denner, feyncalc: Computer algebraic calculation of Feynman amplitudes, Comput. Phys. Commun. 64, 345 (1991).
- V. Shtabovenko, R. Mertig, and F. Orellana, New Developments in feyncalc 9.0, Comput. Phys. Commun. 207, 432 (2016).
- V. Shtabovenko, R. Mertig, and F. Orellana, feyncalc 9.3: New features and improvements, Comput. Phys. Commun. 256, 107478 (2020).
- V. Shtabovenko, R. Mertig, and F. Orellana, feyncalc 10: Do multiloop integrals dream of computer codes?, Comput. Phys. Commun. 306, 109357 (2025).
- J. M. Cornwall, Dynamical mass generation in continuum QCD, Phys. Rev. D 26, 1453 (1982).
- J. M. Cornwall and J. Papavassiliou, Gauge invariant three gluon vertex in QCD, Phys. Rev. D 40, 3474 (1989).
- D. Binosi and J. Papavassiliou, Pinch technique: Theory and applications, Phys. Rep. 479, 1 (2009).
- A. Denner, G. Weiglein, and S. Dittmaier, Application of the background field method to the electroweak standard model, Nucl. Phys. B440, 95 (1995).
- A. Pilaftsis, Generalized pinch technique and the background field method in general gauges, Nucl. Phys. B487, 467 (1997).
- D.-d. Wu, The Rephasing Invariants and , Phys. Rev. D 33, 860 (1986).
- C. Jarlskog, Commutator of the quark mass matrices in the standard electroweak model and a measure of maximal nonconservation, Phys. Rev. Lett. 55, 1039 (1985).
- S. Luo and Z.-z. Xing, First determination of the Jarlskog invariant of violation from the moduli of the CKM matrix elements, Nucl. Phys. B997, 116381 (2023).
- S. Luo and Z.-z. Xing, New rephasing invariants and violation built from the trios of the CKM or PMNS matrix elements, Nucl. Phys. B1026, 117443 (2026).
- F. Takahashi et al. (Particle Data Group), Review of particle physics, Int. J. Mod. Phys. A 41, 2630011 (2026).
- R. E. Cutkosky, Singularities and discontinuities of Feynman amplitudes, J. Math. Phys. (N.Y.) 1, 429 (1960).
- D. de Florian et al. (LHC Higgs Cross Section Working Group), Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector, CERN Yellow Rep. Monogr. 2, 1 (2017).
- A. I. Hernández-Juárez, A. Moyotl, and G. Tavares-Velasco, New estimate of the chromomagnetic dipole moment of quarks in the standard model, Eur. Phys. J. Plus 136, 262 (2021).
- A. I. Hernández-Juárez, G. Tavares-Velasco, and A. Moyotl, Chromomagnetic and chromoelectric dipole moments of quarks in the reduced 331 model, Chin. Phys. C 45, 113101 (2021).
- A. I. Hernández-Juárez, A. Moyotl, and G. Tavares-Velasco, Bounds on the absorptive parts of the chromomagnetic and chromoelectric dipole moments of the top quark from LHC data, Eur. Phys. J. Plus 137, 925 (2022).
- G. J. Gounaris, J. Layssac, and F. M. Renard, New and standard physics contributions to anomalous and gamma selfcouplings, Phys. Rev. D 62, 073013 (2000).
- A. I. Hernández-Juárez, A. Moyotl, and G. Tavares-Velasco, Contributions to () couplings from violating flavor changing couplings, Eur. Phys. J. C 81, 304 (2021).
- A. I. Hernández-Juárez, R. Gaitán, and G. Tavares-Velasco, FCNC contributions to the vertex, polarizations and bounds on couplings, Int. J. Mod. Phys. A 40, 2550132 (2025).
- A. I. Hernández-Juárez, R. Gaitán, and G. Tavares-Velasco, Polarized and unpolarized off-shell decay above the threshold*, Chin. Phys. C 48, 113103 (2024).
- A. I. Hernández-Juárez and R. Gaitán, violation in the vertex and left-right asymmetries, Phys. Rev. D 112, 033006 (2025).
- I. Brivio and M. Trott, The Standard Model as an effective field theory, Phys. Rep. 793, 1 (2019).
- D. Barducci, M. Forslund, M. Fuentes Zamoro, P. P. Giardino, A. V. Gritsan, and G. Ortona, Parametrisation and dictionary for violating Higgs boson interactions, SciPost Phys. Comm. Rep. 22 (2026).
- G. C. Branco, L. Lavoura, and J. P. Silva, CP Violation (Oxford University Press, 1999), Vol. 103.
- Y. Chen, A. Falkowski, I. Low, and R. Vega-Morales, New observables for violation in Higgs decays, Phys. Rev. D 90, 113006 (2014).
- D. Chang and W.-Y. Keung, violation in the decay of neutral Higgs boson into and , Phys. Lett. B 305, 261 (1993).
- K. Hagiwara, R. Szalapski, and D. Zeppenfeld, Anomalous Higgs boson production and decay, Phys. Lett. B 318, 155 (1993).
- T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118, 153 (1999).
- M. O. A. Thomas and E. Vryonidou, violation in loop-induced diboson production, J. High Energy Phys. 03 (2025) 038.
- G. Pocsik and T. Torma, On the decays of heavy Higgs bosons, Z. Phys. C 6, 1 (1980).
- W.-Y. Keung and W. J. Marciano, Higgs scalar decays: , Phys. Rev. D 30, 248 (1984).
- E. Maina and G. Pelliccioli, Polarized Z bosons from the decay of a Higgs boson produced in association with two jets at the LHC, Eur. Phys. J. C 81, 989 (2021).
- M. Javurkova, R. Ruiz, R. C. L. de Sá, and J. Sandesara, Polarized ZZ pairs in gluon fusion and vector boson fusion at the LHC, Phys. Lett. B 855, 138787 (2024).
- A. Ballestrero, E. Maina, and G. Pelliccioli, Polarized vector boson scattering in the fully leptonic WZ and ZZ channels at the LHC, J. High Energy Phys. 09 (2019) 087.
- E. Maina, Vector boson polarizations in the decay of the Standard Model Higgs, Phys. Lett. B 818, 136360 (2021).
- A. Denner and G. Pelliccioli, Polarized electroweak bosons in production at the LHC including NLO QCD effects, J. High Energy Phys. 09 (2020) 164.
- A. Denner and G. Pelliccioli, NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC, J. High Energy Phys. 10 (2021) 097.
- A. Denner, C. Haitz, and G. Pelliccioli, NLO EW corrections to polarised production and decay at the LHC, Phys. Lett. B 850, 138539 (2024).
- M. Grossi, G. Pelliccioli, and A. Vicini, From angular coefficients to quantum observables: A phenomenological appraisal in di-boson systems, J. High Energy Phys. 12 (2024) 120.
- A. Denner, C. Haitz, and G. Pelliccioli, NLO EW and QCD corrections to polarised same-sign WW scattering at the LHC, J. High Energy Phys. 11 (2024) 115.
- U. Haisch, J. Linder, G. Pelliccioli, E. Re, and G. Zanderighi, Polarized-boson pairs at NLO in the SMEFT, J. High Energy Phys. 11 (2025) 080.
- G. Pelliccioli and R. Poncelet, Precise predictions for joint polarisation fractions in WZ production at the LHC, Phys. Rev. D 113, 053008 (2026).
- D. Buarque Franzosi, O. Mattelaer, R. Ruiz, and S. Shil, Automated predictions from polarized matrix elements, J. High Energy Phys. 04 (2020) 082.
- M. Hoppe, M. Schönherr, and F. Siegert, Polarised cross sections for vector boson production with Sherpa, J. High Energy Phys. 04 (2024) 001.
- G. Aad et al. (ATLAS Collaboration), Measurement of the polarisation of bosons produced with large transverse momentum in collisions at with the ATLAS experiment, Eur. Phys. J. C 72, 2001 (2012).
- G. Aad et al. (ATLAS Collaboration), Measurement of the angular coefficients in -boson events using electron and muon pairs from data taken at with the ATLAS detector, J. High Energy Phys. 08 (2016) 159.
- M. Aaboud et al. (ATLAS Collaboration), Measurement of the boson polarisation in events from collisions at in the lepton + jets channel with ATLAS, Eur. Phys. J. C 77, 264 (2017); Eur. Phys. J. C 79, 19(E) (2019).
- M. Aaboud et al. (ATLAS Collaboration), Measurement of production cross sections and gauge boson polarisation in collisions at with the ATLAS detector, Eur. Phys. J. C 79, 535 (2019).
- G. Aad et al. (CMS Collaboration and ATLAS Collaboration), Combination of the boson polarization measurements in top quark decays using ATLAS and CMS data at , J. High Energy Phys. 08 (2020) 051.
- G. Aad et al. (ATLAS Collaboration), Observation of gauge boson joint-polarisation states in production from collisions at with the ATLAS detector, Phys. Lett. B 843, 137895 (2023).
- G. Aad et al. (ATLAS Collaboration), Measurement of the polarisation of bosons produced in top-quark decays using dilepton events at with the ATLAS experiment, Phys. Lett. B 843, 137829 (2023).
- G. Aad et al. (ATLAS Collaboration), A precise measurement of the -boson double-differential transverse momentum and rapidity distributions in the full phase space of the decay leptons with the ATLAS experiment at , Eur. Phys. J. C 84, 315 (2024).
- G. Aad et al. (ATLAS Collaboration), Evidence of pair production of longitudinally polarised vector bosons and study of properties in events with the ATLAS detector at , J. High Energy Phys. 12 (2023) 107.
- G. Aad et al. (ATLAS Collaboration), Evidence for longitudinally polarized bosons in the electroweak production of same-sign boson pairs in association with two jets in collisions at with the ATLAS detector, Phys. Rev. Lett. 135, 111802 (2025).
- S. Chatrchyan et al. (CMS Collaboration), Measurement of the polarization of bosons with large transverse momenta in jets events at the LHC, Phys. Rev. Lett. 107, 021802 (2011).
- V. Khachatryan et al. (CMS Collaboration), Angular coefficients of Z bosons produced in collisions at and decaying to as a function of transverse momentum and rapidity, Phys. Lett. B 750, 154 (2015).
- V. Khachatryan et al. (CMS Collaboration), Measurement of the boson helicity fractions in the decays of top quark pairs to lepton + jets final states produced in collisions at , Phys. Lett. B 762, 512 (2016).
- A. M. Sirunyan et al. (CMS Collaboration), Measurements of production cross sections of polarized same-sign boson pairs in association with two jets in proton-proton collisions at , Phys. Lett. B 812, 136018 (2021).
- R. Aaij et al. (LHCb Collaboration), First measurement of the angular coefficients in the forward region of collisions at , Phys. Rev. Lett. 129, 091801 (2022).