A new evaluation of the $HZZ$ coupling: direct bounds on anomalous contributions and $CP$ violating effects via a new asymmetry

Abstract

The standard model (SM) one-loop contributions to the most general $H^{\ast }{Z}^{\ast }{Z}^{\ast }$ coupling are obtained via the background field method in terms of Passarino-Veltman scalar functions, from which the contributions to the $H^{\ast }ZZ$ and $HZ{Z}^{\ast }$ couplings are obtained in terms of two $CP$-conserving $h_{1,2}^V$ and one $CP$-violating $h_3^V$ form factors ($V=H,Z$). The current CMS constraints on the $HZZ$ coupling ratios are then used to obtain bounds on the real and absorptive parts of the anomalous $HZZ$ couplings. The former are up to two orders of magnitude tighter than previous ones, whereas the latter are the first one of this kind. The effects of the absorptive parts of the $HZZ$ anomalous couplings, which have been overlooked in the past, are analyzed via the partial decay width ${\Gamma }_{H^{\ast }\to ZZ}$, and a significant deviation from the SM tree-level contribution is observed at low energies, though it becomes negligible at high energies. We also explore the possibility that polarized $Z$ gauge bosons are used for the study of non-SM $HZZ$ contributions via a new left-right asymmetry ${\mathcal{A}}_{LR}$, which is sensitive to $CP$-violating complex form factors and can be as large as the unity at most, though in a more conservative scenario it is four to five orders of magnitude larger than the SM prediction arising up to the three-loop level. The partial decay widths ${\Gamma }_{H^{\ast }\to Z_L{Z}_L}$ and ${\Gamma }_{H^{\ast }\to Z_R{Z}_R}$ are also studied in several scenarios and it is observed that the deviations from the SM can be large at high energies and increases as the energy increases. Thus, the use of polarized $Z$ gauge bosons could give hints of $CP$ violation. The Mathematica code for our analytical results and the numerical evaluation is available in our GitLab site.

Similar to the PRD publication

References in corpus (28)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state
• $\Delta M_s$ theory precision confronts flavour anomalies
• Aspects of CP violation in the HZZ coupling at the LHC
• Testing entanglement and Bell inequalities in $H\to ZZ$
• Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state
• Gauge invariant one-loop corrections to Higgs boson couplings in non-minimal Higgs models
• Measuring the Higgs-Vector boson Couplings at Linear $e^{+}{e}^{-}$ Collider
• Constraints on anomalous Higgs boson couplings to vector bosons and fermions in its production and decay using the four-lepton final state
• Measurement of the Higgs boson width and evidence of its off-shell contributions to ZZ production
• New features in the JHU generator framework: constraining Higgs boson properties from on-shell and off-shell production
• $ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence
• New physics in $b\to s\ell \ell$ decays with complex Wilson coefficients
• Vector boson polarizations in the decay of the Standard Model Higgs
• A Reduced basis for CP violation in SMEFT at colliders and its application to Diboson production
• Anomalous couplings in associated $VH$ production with Higgs decay to massive $b$ quarks at NNLO in QCD
• Contributions to $ZZ{V}^{\ast }$ ($V=\gamma ,Z,Z^{\prime }$) couplings from $CP$ violating flavor changing couplings
• New estimate of the chromomagnetic dipole moment of quarks in the standard model
• Anomalous Higgs Couplings at an $e\gamma$ Collider
• Study of anomalous gauge-Higgs couplings using $Z$ boson polarization at LHC
• Off-shell Higgs Couplings in $H^{\ast }\to ZZ\to \ell \ell \nu \nu$
• Polarized Z bosons from the decay of a Higgs boson produced in association with two jets at the LHC
• Off-shell Higgs production at the LHC as a probe of the trilinear Higgs coupling
• Chromomagnetic and chromoelectric dipole moments of quarks in the reduced 331 model
• Measuring Higgs self couplings in the presence of VVH and VVHH at the ILC
• Bounds on the absorptive parts of the chromomagnetic and chromoelectric dipole moments of the top quark from LHC data
• Form Factors in Higgs Couplings from Physics Beyond the Standard Model

Cited by in corpus (7)

• Polarized ZZ pairs in gluon fusion and vector boson fusion at the LHC
• Polarized and unpolarized off-shell $H^{\ast }\to ZZ\to 4\ell$ decay above the $2m_Z$ threshold
• $H\to Z\gamma$ decay and $CP$ violation
• $CP$ violation in the $HZZ$ vertex and left-right asymmetries
• Non-diagonal contributions to $Z\gamma V^{\ast }$ vertex, polarizations and bounds on $Z\overline{t}q$ couplings
• Higgs couplings in SMEFT via Zh production at the HL-LHC
• $CP$-odd form factor in the $HWW$ vertex