Investigating Unitarity in Presence of Anomalous Couplings

Abstract

We perform a model independent analysis of the helicity amplitudes at high energy for all the $2\to 2$ scattering processes involving gauge and Higgs bosons in the presence of anomalous $WWV$, $WWVV$, $VVH$, $VVHH$ ($V\equiv Z,\gamma$ and $W^{\pm }$), $HHHH$ and $HHH$ interactions. We obtain the perturbative unitarity constraints on anomalous couplings by demanding the vanishing of terms proportional to $s^2$ and $s^{3/2}$ in the helicity amplitudes. Using these constraints, we also compute the upper bound on all the anomalous couplings from terms linear in $s$. Further, assuming all anomalous couplings to have arisen only from dimension six operators, we show that the perturbative unitarity violation can be evaded up to $\sim$ 9 TeV corresponding to the best fit values of $f_{WW}/{\Lambda }^2$ and $f_{BB}/{\Lambda }^2$ from the combined analysis of Tevatron and LHC data.

13 pages, 4 figures. Some discussions added, typos corrected, to appear in Physical Review D

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• Unitarity Constraints on Dimension-six Operators II: Including Fermionic Operators
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling
• The Effective Standard Model after LHC Run I
• Multi-Higgs Production and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Unitarity constraints on ALP interactions
• Distinguishing CP-odd couplings of the Higgs boson to weak boson pairs
• Comparing EFT and Exact One-Loop Analyses of Non-Degenerate Stops
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
• Implications of dark sector mixing on leptophilic scalar dark matter
• Scattering unitarity with effective dimension-6 operators