Abstract
We consider the constraints implied by partial wave unitarity on new physics in the form of di-boson resonances at LHC. We derive the scale where the effective description in terms of the SM supplemented by a single scalar resonance is expected to break down depending on the resonance width and signal cross-section.
Highlights
Perturbative unitarity is a powerful theoretical tool for inferring the range of validity of a given effective field theory (EFT), with notable examples of applications both in the physics of strong and electroweak interactions
Constraints imposed by perturbative unitarity in WW scattering have been used in the past to infer an upper bound on the Higgs boson mass or, alternatively, on the scale where the standard model (SM) description of weak interactions would need to be completed in the ultraviolet (UV) in terms of some new strongly coupled dynamics [1]
The recently rekindled interest in new physics (NP) in the form of di-photon resonances [2, 3] at the LHC motivated us to reconsider the implications of perturbative unitarity for EFT interpretations of resonances decaying to di-boson final states
Summary
Perturbative unitarity is a powerful theoretical tool for inferring the range of validity of a given effective field theory (EFT), with notable examples of applications both in the physics of strong and electroweak interactions. Constraints imposed by perturbative unitarity in WW scattering have been used in the past to infer an upper bound on the Higgs boson mass or, alternatively, on the scale where the standard model (SM) description of weak interactions would need to be completed in the ultraviolet (UV) in terms of some new strongly coupled dynamics [1]. Assuming that a scalar resonance is within the reach of the present LHC run, can a generation hadron collider potentially probe the on-shell effects of new degrees of freedom responsible for the restoration of unitarity?. The scale of unitarity violation is interpreted as an upper bound on the mass scale of new degrees of freedom UV completing the effective low-energy description and regularizing (unitarizing) the amplitudes’ growth. The present contribution is largely based on Ref. [4], to which the reader is referred for further details
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